Package io.github.cvc5
Enum Kind
- java.lang.Object
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- java.lang.Enum<Kind>
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- io.github.cvc5.Kind
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Enum Constant Summary
Enum Constants Enum Constant Description ABS
Absolute value.ADD
Arithmetic addition.AND
Logical conjunction.APPLY_CONSTRUCTOR
Datatype constructor application.APPLY_SELECTOR
Datatype selector application.APPLY_TESTER
Datatype tester application.APPLY_UF
Application of an uninterpreted function.APPLY_UPDATER
Datatype update application.ARCCOSECANT
Arc cosecant function.ARCCOSINE
Arc cosine function.ARCCOTANGENT
Arc cotangent function.ARCSECANT
Arc secant function.ARCSINE
Arc sine function.ARCTANGENT
Arc tangent function.BAG_CARD
Bag cardinality.BAG_CHOOSE
Bag choose.BAG_COUNT
Bag element multiplicity.BAG_DIFFERENCE_REMOVE
Bag difference remove.BAG_DIFFERENCE_SUBTRACT
Bag difference subtract.BAG_EMPTY
Empty bag.BAG_FILTER
Bag filter.BAG_FOLD
Bag fold.BAG_INTER_MIN
Bag intersection (min).BAG_MAKE
Bag make.BAG_MAP
Bag map.BAG_MEMBER
Bag membership predicate.BAG_PARTITION
Bag partition.BAG_SETOF
Bag setof.BAG_SUBBAG
Bag inclusion predicate.BAG_UNION_DISJOINT
Bag disjoint union (sum).BAG_UNION_MAX
Bag max union.BITVECTOR_ADD
Addition of two or more bit-vectors.BITVECTOR_AND
Bit-wise and.BITVECTOR_ASHR
Bit-vector arithmetic shift right.BITVECTOR_BIT
Retrieves the bit at the given index from a bit-vector as a Bool term.BITVECTOR_COMP
Equality comparison (returns bit-vector of size1
).BITVECTOR_CONCAT
Concatenation of two or more bit-vectors.BITVECTOR_EXTRACT
Bit-vector extract.BITVECTOR_FROM_BOOLS
Converts a list of Bool terms to a bit-vector.BITVECTOR_ITE
Bit-vector if-then-else.BITVECTOR_LSHR
Bit-vector logical shift right.BITVECTOR_MULT
Multiplication of two or more bit-vectors.BITVECTOR_NAND
Bit-wise nand.BITVECTOR_NEG
Negation of a bit-vector (two's complement).BITVECTOR_NEGO
Bit-vector negation overflow detection.BITVECTOR_NOR
Bit-wise nor.BITVECTOR_NOT
Bit-wise negation.BITVECTOR_OR
Bit-wise or.BITVECTOR_REDAND
Bit-vector redand.BITVECTOR_REDOR
Bit-vector redor.BITVECTOR_REPEAT
Bit-vector repeat.BITVECTOR_ROTATE_LEFT
Bit-vector rotate left.BITVECTOR_ROTATE_RIGHT
Bit-vector rotate right.BITVECTOR_SADDO
Bit-vector signed addition overflow detection.BITVECTOR_SDIV
Signed bit-vector division.BITVECTOR_SDIVO
Bit-vector signed division overflow detection.BITVECTOR_SGE
Bit-vector signed greater than or equal.BITVECTOR_SGT
Bit-vector signed greater than.BITVECTOR_SHL
Bit-vector shift left.BITVECTOR_SIGN_EXTEND
Bit-vector sign extension.BITVECTOR_SLE
Bit-vector signed less than or equal.BITVECTOR_SLT
Bit-vector signed less than.BITVECTOR_SLTBV
Bit-vector signed less than returning a bit-vector of size1
.BITVECTOR_SMOD
Signed bit-vector remainder (sign follows divisor).BITVECTOR_SMULO
Bit-vector signed multiplication overflow detection.BITVECTOR_SREM
Signed bit-vector remainder (sign follows dividend).BITVECTOR_SSUBO
Bit-vector signed subtraction overflow detection.BITVECTOR_SUB
Subtraction of two bit-vectors.BITVECTOR_TO_NAT
Bit-vector conversion to (non-negative) integer.BITVECTOR_UADDO
Bit-vector unsigned addition overflow detection.BITVECTOR_UDIV
Unsigned bit-vector division.BITVECTOR_UGE
Bit-vector unsigned greater than or equal.BITVECTOR_UGT
Bit-vector unsigned greater than.BITVECTOR_ULE
Bit-vector unsigned less than or equal.BITVECTOR_ULT
Bit-vector unsigned less than.BITVECTOR_ULTBV
Bit-vector unsigned less than returning a bit-vector of size 1.BITVECTOR_UMULO
Bit-vector unsigned multiplication overflow detection.BITVECTOR_UREM
Unsigned bit-vector remainder.BITVECTOR_USUBO
Bit-vector unsigned subtraction overflow detection.BITVECTOR_XNOR
Bit-wise xnor, left associative.BITVECTOR_XOR
Bit-wise xor.BITVECTOR_ZERO_EXTEND
Bit-vector zero extension.CARDINALITY_CONSTRAINT
Cardinality constraint on uninterpreted sort.CONST_ARRAY
Constant array.CONST_BITVECTOR
Fixed-size bit-vector constant.CONST_BOOLEAN
Boolean constant.CONST_FINITE_FIELD
Finite field constant.CONST_FLOATINGPOINT
Floating-point constant, created from IEEE-754 bit-vector representation of the floating-point value.CONST_INTEGER
Arbitrary-precision integer constant.CONST_RATIONAL
Arbitrary-precision rational constant.CONST_ROUNDINGMODE
RoundingMode constant.CONST_SEQUENCE
Constant sequence.CONST_STRING
Constant string.CONSTANT
Free constant symbol.COSECANT
Cosecant function.COSINE
Cosine function.COTANGENT
Cotangent function.DISTINCT
Disequality.DIVISIBLE
Operator for the divisibility-by-\(k\) predicate.DIVISION
Real division, division by 0 undefined, left associative.DIVISION_TOTAL
Real division, division by 0 defined to be 0, left associative.EQ_RANGE
Equality over arrays \(a\) and \(b\) over a given range \([i,j]\), i.e., \[ \forall k .EQUAL
Equality, chainable.EXISTS
Existentially quantified formula.EXPONENTIAL
Exponential function.FINITE_FIELD_ADD
Addition of two or more finite field elements.FINITE_FIELD_BITSUM
Bitsum of two or more finite field elements: x + 2y + 4z + ...FINITE_FIELD_MULT
Multiplication of two or more finite field elements.FINITE_FIELD_NEG
Negation of a finite field element (additive inverse).FLOATINGPOINT_ABS
Floating-point absolute value.FLOATINGPOINT_ADD
Floating-point addition.FLOATINGPOINT_DIV
Floating-point division.FLOATINGPOINT_EQ
Floating-point equality.FLOATINGPOINT_FMA
Floating-point fused multiply and add.FLOATINGPOINT_FP
Create floating-point literal from bit-vector triple.FLOATINGPOINT_GEQ
Floating-point greater than or equal.FLOATINGPOINT_GT
Floating-point greater than.FLOATINGPOINT_IS_INF
Floating-point is infinite tester.FLOATINGPOINT_IS_NAN
Floating-point is NaN tester.FLOATINGPOINT_IS_NEG
Floating-point is negative tester.FLOATINGPOINT_IS_NORMAL
Floating-point is normal tester.FLOATINGPOINT_IS_POS
Floating-point is positive tester.FLOATINGPOINT_IS_SUBNORMAL
Floating-point is sub-normal tester.FLOATINGPOINT_IS_ZERO
Floating-point is zero tester.FLOATINGPOINT_LEQ
Floating-point less than or equal.FLOATINGPOINT_LT
Floating-point less than.FLOATINGPOINT_MAX
Floating-point maximum.FLOATINGPOINT_MIN
Floating-point minimum.FLOATINGPOINT_MULT
Floating-point multiply.FLOATINGPOINT_NEG
Floating-point negation.FLOATINGPOINT_REM
Floating-point remainder.FLOATINGPOINT_RTI
Floating-point round to integral.FLOATINGPOINT_SQRT
Floating-point square root.FLOATINGPOINT_SUB
Floating-point sutraction.FLOATINGPOINT_TO_FP_FROM_FP
Conversion to floating-point from floating-point.FLOATINGPOINT_TO_FP_FROM_IEEE_BV
Conversion to floating-point from IEEE-754 bit-vector.FLOATINGPOINT_TO_FP_FROM_REAL
Conversion to floating-point from Real.FLOATINGPOINT_TO_FP_FROM_SBV
Conversion to floating-point from signed bit-vector.FLOATINGPOINT_TO_FP_FROM_UBV
Conversion to floating-point from unsigned bit-vector.FLOATINGPOINT_TO_REAL
Conversion to Real from floating-point.FLOATINGPOINT_TO_SBV
Conversion to signed bit-vector from floating-point.FLOATINGPOINT_TO_UBV
Conversion to unsigned bit-vector from floating-point.FORALL
Universally quantified formula.GEQ
Greater than or equal, chainable.GT
Greater than, chainable.HO_APPLY
Higher-order applicative encoding of function application, left associative.IAND
Integer and.IMPLIES
Logical implication.INST_ADD_TO_POOL
A instantantiation-add-to-pool annotation.INST_ATTRIBUTE
Instantiation attribute.INST_NO_PATTERN
Instantiation no-pattern.INST_PATTERN
Instantiation pattern.INST_PATTERN_LIST
A list of instantiation patterns, attributes or annotations.INST_POOL
Instantiation pool annotation.INT_TO_BITVECTOR
Conversion from Int to bit-vector.INTERNAL_KIND
Internal kind.INTS_DIVISION
Integer division, division by 0 undefined, left associative.INTS_DIVISION_TOTAL
Integer division, division by 0 defined to be 0, left associative.INTS_MODULUS
Integer modulus, modulus by 0 undefined.INTS_MODULUS_TOTAL
Integer modulus, t modulus by 0 defined to be t.IS_INTEGER
Is-integer predicate.ITE
If-then-else.LAMBDA
Lambda expression.LAST_KIND
Marks the upper-bound of this enumeration.LEQ
Less than or equal, chainable.LT
Less than, chainable.MATCH
Match expression.MATCH_BIND_CASE
Match case with binders, for constructors with selectors and variable patterns.MATCH_CASE
Match case for nullary constructors.MULT
Arithmetic multiplication.NEG
Arithmetic negation.NOT
Logical negation.NULL_TERM
Null kind.NULLABLE_LIFT
Lifting operator for nullable terms.OR
Logical disjunction.PI
Pi constant.POW
Arithmetic power.POW2
Power of two.REGEXP_ALL
Regular expression all.REGEXP_ALLCHAR
Regular expression all characters.REGEXP_COMPLEMENT
Regular expression complement.REGEXP_CONCAT
Regular expression concatenation.REGEXP_DIFF
Regular expression difference.REGEXP_INTER
Regular expression intersection.REGEXP_LOOP
Regular expression loop.REGEXP_NONE
Regular expression none.REGEXP_OPT
Regular expression ?.REGEXP_PLUS
Regular expression +.REGEXP_RANGE
Regular expression range.REGEXP_REPEAT
Operator for regular expression repeat.REGEXP_STAR
Regular expression \*.REGEXP_UNION
Regular expression union.RELATION_AGGREGATE
Relation aggregate operator has the form \(((\_ \; rel.aggr \; n_1 ...RELATION_GROUP
Relation group \(((\_ \; rel.group \; n_1 \; \dots \; n_k) \; A)\) partitions tuples of relation \(A\) such that tuples that have the same projection with indices \(n_1 \; \dots \; n_k\) are in the same part.RELATION_IDEN
Relation identity.RELATION_JOIN
Relation join.RELATION_JOIN_IMAGE
Relation join image.RELATION_PRODUCT
Relation cartesian product.RELATION_PROJECT
Relation projection operator extends tuple projection operator to sets.RELATION_TABLE_JOIN
Table join operator for relations has the form \(((\_ \; rel.table\_join \; m_1 \; n_1 \; \dots \; m_k \; n_k) \; A \; B)\) where \(m_1 \; n_1 \; \dots \; m_k \; n_k\) are natural numbers, and \(A, B\) are relations.RELATION_TCLOSURE
Relation transitive closure.RELATION_TRANSPOSE
Relation transpose.SECANT
Secant function.SELECT
Array select.SEP_EMP
Separation logic empty heap.SEP_NIL
Separation logic nil.SEP_PTO
Separation logic points-to relation.SEP_STAR
Separation logic star.SEP_WAND
Separation logic magic wand.SEQ_AT
Sequence element at.SEQ_CONCAT
Sequence concat.SEQ_CONTAINS
Sequence contains.SEQ_EXTRACT
Sequence extract.SEQ_INDEXOF
Sequence index-of.SEQ_LENGTH
Sequence length.SEQ_NTH
Sequence nth.SEQ_PREFIX
Sequence prefix-of.SEQ_REPLACE
Sequence replace.SEQ_REPLACE_ALL
Sequence replace all.SEQ_REV
Sequence reverse.SEQ_SUFFIX
Sequence suffix-of.SEQ_UNIT
Sequence unit.SEQ_UPDATE
Sequence update.SET_CARD
Set cardinality.SET_CHOOSE
Set choose.SET_COMPLEMENT
Set complement with respect to finite universe.SET_COMPREHENSION
Set comprehension A set comprehension is specified by a variable list \(x_1 ...SET_EMPTY
Empty set.SET_FILTER
Set filter.SET_FOLD
Set fold.SET_INSERT
The set obtained by inserting elements; Arity:n > 0
1..n-1:
Terms of any Sort (must match the element sort of the given set Term)n:
Term of set Sort Create Term of this Kind with:Solver.mkTerm(Kind, Term[])
Solver.mkTerm(Op, Term[])
Create Op of this kind with:Solver.mkOp(Kind, int[])
SET_INTER
Set intersection.SET_IS_EMPTY
Set is empty tester.SET_IS_SINGLETON
Set is singleton tester.SET_MAP
Set map.SET_MEMBER
Set membership predicate.SET_MINUS
Set subtraction.SET_SINGLETON
Singleton set.SET_SUBSET
Subset predicate.SET_UNION
Set union.SET_UNIVERSE
Finite universe set.SEXPR
Symbolic expression.SINE
Sine function.SKOLEM
A Skolem.SKOLEM_ADD_TO_POOL
A skolemization-add-to-pool annotation.SQRT
Square root.STORE
Array store.STRING_CHARAT
String character at.STRING_CONCAT
String concat.STRING_CONTAINS
String contains.STRING_FROM_CODE
String from code.STRING_FROM_INT
Conversion from Int to String.STRING_IN_REGEXP
String membership.STRING_INDEXOF
String index-of.STRING_INDEXOF_RE
String index-of regular expression match.STRING_IS_DIGIT
String is-digit.STRING_LENGTH
String length.STRING_LEQ
String less than or equal.STRING_LT
String less than.STRING_PREFIX
String prefix-of.STRING_REPLACE
String replace.STRING_REPLACE_ALL
String replace all.STRING_REPLACE_RE
String replace regular expression match.STRING_REPLACE_RE_ALL
String replace all regular expression matches.STRING_REV
String reverse.STRING_SUBSTR
String substring.STRING_SUFFIX
String suffix-of.STRING_TO_CODE
String to code.STRING_TO_INT
String to integer (total function).STRING_TO_LOWER
String to lower case.STRING_TO_REGEXP
Conversion from string to regexp.STRING_TO_UPPER
String to upper case.STRING_UPDATE
String update.SUB
Arithmetic subtraction, left associative.TABLE_AGGREGATE
Table aggregate operator has the form \(((\_ \; table.aggr \; n_1 ...TABLE_GROUP
Table group \(((\_ \; table.group \; n_1 \; \dots \; n_k) \; A)\) partitions tuples of table \(A\) such that tuples that have the same projection with indices \(n_1 \; \dots \; n_k\) are in the same part.TABLE_JOIN
Table join operator has the form \(((\_ \; table.join \; m_1 \; n_1 \; \dots \; m_k \; n_k) \; A \; B)\) where \(m_1 \; n_1 \; \dots \; m_k \; n_k\) are natural numbers, and \(A, B\) are tables.TABLE_PRODUCT
Table cross product.TABLE_PROJECT
Table projection operator extends tuple projection operator to tables.TANGENT
Tangent function.TO_INTEGER
Convert Term of sort Int or Real to Int via the floor function.TO_REAL
Convert Term of Sort Int or Real to Real.TUPLE_PROJECT
Tuple projection.UNDEFINED_KIND
Undefined kind.UNINTERPRETED_SORT_VALUE
The value of an uninterpreted constant.VARIABLE
(Bound) variable.VARIABLE_LIST
Variable list.WITNESS
Witness.XOR
Logical exclusive disjunction, left associative.
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Method Summary
All Methods Static Methods Instance Methods Concrete Methods Modifier and Type Method Description static Kind
fromInt(int value)
int
getValue()
static Kind
valueOf(java.lang.String name)
Returns the enum constant of this type with the specified name.static Kind[]
values()
Returns an array containing the constants of this enum type, in the order they are declared.
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Enum Constant Detail
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INTERNAL_KIND
public static final Kind INTERNAL_KIND
Internal kind. This kind serves as an abstraction for internal kinds that are not exposed via the API but may appear in terms returned by API functions, e.g., when querying the simplified form of a term.- Note:
- Should never be created via the API.
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UNDEFINED_KIND
public static final Kind UNDEFINED_KIND
Undefined kind.- Note:
- Should never be exposed or created via the API.
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NULL_TERM
public static final Kind NULL_TERM
Null kind. The kind of a null term (Term()
).- Note:
- May not be explicitly created via API functions other than
Term()
.
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UNINTERPRETED_SORT_VALUE
public static final Kind UNINTERPRETED_SORT_VALUE
The value of an uninterpreted constant.- Note:
- May be returned as the result of an API call, but terms of this kind may not be created explicitly via the API and may not appear in assertions.
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EQUAL
public static final Kind EQUAL
Equality, chainable.- Arity:
n > 1
1..n:
Terms of the same Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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DISTINCT
public static final Kind DISTINCT
Disequality.- Arity:
n > 1
1..n:
Terms of the same Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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CONSTANT
public static final Kind CONSTANT
Free constant symbol.- Create Term of this Kind with:
- Note:
- Not permitted in bindings (e.g., FORALL, EXISTS).
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VARIABLE
public static final Kind VARIABLE
(Bound) variable.- Create Term of this Kind with:
- Note:
- Only permitted in bindings and in lambda and quantifier bodies.
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SKOLEM
public static final Kind SKOLEM
A Skolem.- Note:
- Represents an internally generated term. Information on the skolem is available via the calls `Solver.getSkolemId` and `Solver.getSkolemIndices`.
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SEXPR
public static final Kind SEXPR
Symbolic expression.- Arity:
n > 0
1..n:
Terms with same sorts
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
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LAMBDA
public static final Kind LAMBDA
Lambda expression.- Arity:
2
1:
Term of kind VARIABLE_LIST2:
Term of any Sort (the body of the lambda)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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WITNESS
public static final Kind WITNESS
Witness. The syntax of a witness term is similar to a quantified formula except that only one variable is allowed. For example, the term .. code. smtlib (witness ((x S)) F) returns an element \(x\) of Sort \(S\) and asserts formula \(F\). The witness operator behaves like the description operator (see https: no \(x\) that satisfies \(F\). But if such \(x\) exists, the witness operator does not enforce the following axiom which ensures uniqueness up to logical equivalence: \[ \forall x. F \equiv G \Rightarrow witness~x. F = witness~x. G \] For example, if there are two elements of Sort \(S\) that satisfy formula \(F\), then the following formula is satisfiable: .. code. smtlib (distinct (witness ((x Int)) F) (witness ((x Int)) F))- Arity:
3
1:
Term of kind VARIABLE_LIST2:
Term of Sort Bool (the body of the witness)3:
(optional) Term of kind INST_PATTERN_LIST
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is primarily used internally, but may be returned in
models (e.g., for arithmetic terms in non-linear queries). However,
it is not supported by the parser. Moreover, the user of the API
should be cautious when using this operator. In general, all witness
terms
(witness ((x Int)) F)
should be such that ``(exists ((x Int)) F)`` is a valid formula. If this is not the case, then the semantics in formulas that use witness terms may be unintuitive. For example, the following formula is unsatisfiable: ``(or (= (witness ((x Int)) false) 0) (not (= (witness ((x Int)) false) 0)), whereas notice that
(or (= z 0) (not (= z 0)))`` is true for any \(z\).
- Arity:
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CONST_BOOLEAN
public static final Kind CONST_BOOLEAN
Boolean constant.- Create Term of this Kind with:
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NOT
public static final Kind NOT
Logical negation.- Arity:
1
1:
Term of Sort Bool
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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AND
public static final Kind AND
Logical conjunction.- Arity:
n > 1
1..n:
Terms of Sort Bool
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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IMPLIES
public static final Kind IMPLIES
Logical implication.- Arity:
n > 1
1..n:
Terms of Sort Bool
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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OR
public static final Kind OR
Logical disjunction.- Arity:
n > 1
1..n:
Terms of Sort Bool
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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XOR
public static final Kind XOR
Logical exclusive disjunction, left associative.- Arity:
n > 1
1..n:
Terms of Sort Bool
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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ITE
public static final Kind ITE
If-then-else.- Arity:
3
1:
Term of Sort Bool2:
The 'then' term, Term of any Sort3:
The 'else' term, Term of the same sort as second argument
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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APPLY_UF
public static final Kind APPLY_UF
Application of an uninterpreted function.- Arity:
n > 1
1:
Function Term2..n:
Function argument instantiation Terms of any first-class Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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CARDINALITY_CONSTRAINT
public static final Kind CARDINALITY_CONSTRAINT
Cardinality constraint on uninterpreted sort. Interpreted as a predicate that is true when the cardinality of uinterpreted Sort \(S\) is less than or equal to an upper bound.- Create Term of this Kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
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HO_APPLY
public static final Kind HO_APPLY
Higher-order applicative encoding of function application, left associative.- Arity:
n = 2
1:
Function Term2:
Argument Term of the domain Sort of the function
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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ADD
public static final Kind ADD
Arithmetic addition.- Arity:
n > 1
1..n:
Terms of Sort Int or Real (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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MULT
public static final Kind MULT
Arithmetic multiplication.- Arity:
n > 1
1..n:
Terms of Sort Int or Real (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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IAND
public static final Kind IAND
Integer and. Operator for bit-wiseAND
over integers, parameterized by a (positive) bit-width \(k\). .. code. smtlib ((_ iand k) i_1 i_2) is equivalent to .. code. smtlib ((_ iand k) i_1 i_2) (bv2int (bvand ((_ int2bv k) i_1) ((_ int2bv k) i_2))) for all integersi_1
,i_2
.- Arity:
2
1..2:
Terms of Sort Int
- Indices:
1
1:
Bit-width \(k\)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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POW2
public static final Kind POW2
Power of two. Operator for raising2
to a non-negative integer power.- Arity:
1
1:
Term of Sort Int
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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SUB
public static final Kind SUB
Arithmetic subtraction, left associative.- Arity:
n > 1
1..n:
Terms of Sort Int or Real (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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NEG
public static final Kind NEG
Arithmetic negation.- Arity:
1
1:
Term of Sort Int or Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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DIVISION
public static final Kind DIVISION
Real division, division by 0 undefined, left associative.- Arity:
n > 1
1..n:
Terms of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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DIVISION_TOTAL
public static final Kind DIVISION_TOTAL
Real division, division by 0 defined to be 0, left associative.- Arity:
n > 1
1..n:
Terms of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
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INTS_DIVISION
public static final Kind INTS_DIVISION
Integer division, division by 0 undefined, left associative.- Arity:
n > 1
1..n:
Terms of Sort Int
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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INTS_DIVISION_TOTAL
public static final Kind INTS_DIVISION_TOTAL
Integer division, division by 0 defined to be 0, left associative.- Arity:
n > 1
1..n:
Terms of Sort Int
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
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INTS_MODULUS
public static final Kind INTS_MODULUS
Integer modulus, modulus by 0 undefined.- Arity:
2
1:
Term of Sort Int2:
Term of Sort Int
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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INTS_MODULUS_TOTAL
public static final Kind INTS_MODULUS_TOTAL
Integer modulus, t modulus by 0 defined to be t.- Arity:
2
1:
Term of Sort Int2:
Term of Sort Int
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
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ABS
public static final Kind ABS
Absolute value.- Arity:
1
1:
Term of Sort Int or Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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POW
public static final Kind POW
Arithmetic power.- Arity:
2
1..2:
Term of Sort Int or Real (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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EXPONENTIAL
public static final Kind EXPONENTIAL
Exponential function.- Arity:
1
1:
Term of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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SINE
public static final Kind SINE
Sine function.- Arity:
1
1:
Term of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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COSINE
public static final Kind COSINE
Cosine function.- Arity:
1
1:
Term of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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TANGENT
public static final Kind TANGENT
Tangent function.- Arity:
1
1:
Term of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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COSECANT
public static final Kind COSECANT
Cosecant function.- Arity:
1
1:
Term of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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SECANT
public static final Kind SECANT
Secant function.- Arity:
1
1:
Term of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
COTANGENT
public static final Kind COTANGENT
Cotangent function.- Arity:
1
1:
Term of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
ARCSINE
public static final Kind ARCSINE
Arc sine function.- Arity:
1
1:
Term of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
ARCCOSINE
public static final Kind ARCCOSINE
Arc cosine function.- Arity:
1
1:
Term of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
ARCTANGENT
public static final Kind ARCTANGENT
Arc tangent function.- Arity:
1
1:
Term of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
ARCCOSECANT
public static final Kind ARCCOSECANT
Arc cosecant function.- Arity:
1
1:
Term of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
ARCSECANT
public static final Kind ARCSECANT
Arc secant function.- Arity:
1
1:
Term of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
ARCCOTANGENT
public static final Kind ARCCOTANGENT
Arc cotangent function.- Arity:
1
1:
Term of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SQRT
public static final Kind SQRT
Square root. If the argument `x` is non-negative, then this returns a non-negative value `y` such that `y * y = x`.- Arity:
1
1:
Term of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
DIVISIBLE
public static final Kind DIVISIBLE
Operator for the divisibility-by-\(k\) predicate.- Arity:
1
1:
Term of Sort Int
- Indices:
1
1:
The integer \(k\) to divide by.
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
CONST_RATIONAL
public static final Kind CONST_RATIONAL
Arbitrary-precision rational constant.- Create Term of this Kind with:
-
CONST_INTEGER
public static final Kind CONST_INTEGER
Arbitrary-precision integer constant.- Create Term of this Kind with:
-
LT
public static final Kind LT
Less than, chainable.- Arity:
n > 1
1..n:
Terms of Sort Int or Real (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
LEQ
public static final Kind LEQ
Less than or equal, chainable.- Arity:
n > 1
1..n:
Terms of Sort Int or Real (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
GT
public static final Kind GT
Greater than, chainable.- Arity:
n > 1
1..n:
Terms of Sort Int or Real (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
GEQ
public static final Kind GEQ
Greater than or equal, chainable.- Arity:
n > 1
1..n:
Terms of Sort Int or Real (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
IS_INTEGER
public static final Kind IS_INTEGER
Is-integer predicate.- Arity:
1
1:
Term of Sort Int or Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
TO_INTEGER
public static final Kind TO_INTEGER
Convert Term of sort Int or Real to Int via the floor function.- Arity:
1
1:
Term of Sort Int or Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
TO_REAL
public static final Kind TO_REAL
Convert Term of Sort Int or Real to Real.- Arity:
1
1:
Term of Sort Int or Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
PI
public static final Kind PI
Pi constant.- Create Term of this Kind with:
- Note:
- PI is considered a special symbol of Sort
Real, but is not a Real value, i.e.,
Term.isRealValue()
will returnfalse
.
-
CONST_BITVECTOR
public static final Kind CONST_BITVECTOR
Fixed-size bit-vector constant.- Create Term of this Kind with:
-
BITVECTOR_CONCAT
public static final Kind BITVECTOR_CONCAT
Concatenation of two or more bit-vectors.- Arity:
n > 1
1..n:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_AND
public static final Kind BITVECTOR_AND
Bit-wise and.- Arity:
n > 1
1..n:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_OR
public static final Kind BITVECTOR_OR
Bit-wise or.- Arity:
n > 1
1..n:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_XOR
public static final Kind BITVECTOR_XOR
Bit-wise xor.- Arity:
n > 1
1..n:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_NOT
public static final Kind BITVECTOR_NOT
Bit-wise negation.- Arity:
1
1:
Term of bit-vector Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_NAND
public static final Kind BITVECTOR_NAND
Bit-wise nand.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_NOR
public static final Kind BITVECTOR_NOR
Bit-wise nor.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_XNOR
public static final Kind BITVECTOR_XNOR
Bit-wise xnor, left associative.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_COMP
public static final Kind BITVECTOR_COMP
Equality comparison (returns bit-vector of size1
).- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_MULT
public static final Kind BITVECTOR_MULT
Multiplication of two or more bit-vectors.- Arity:
n > 1
1..n:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_ADD
public static final Kind BITVECTOR_ADD
Addition of two or more bit-vectors.- Arity:
n > 1
1..n:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_SUB
public static final Kind BITVECTOR_SUB
Subtraction of two bit-vectors.- Arity:
n > 1
1..n:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_NEG
public static final Kind BITVECTOR_NEG
Negation of a bit-vector (two's complement).- Arity:
1
1:
Term of bit-vector Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_UDIV
public static final Kind BITVECTOR_UDIV
Unsigned bit-vector division. Truncates towards0
. If the divisor is zero, the result is all ones.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_UREM
public static final Kind BITVECTOR_UREM
Unsigned bit-vector remainder. Remainder from unsigned bit-vector division. If the modulus is zero, the result is the dividend.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_SDIV
public static final Kind BITVECTOR_SDIV
Signed bit-vector division. Two's complement signed division of two bit-vectors. If the divisor is zero and the dividend is positive, the result is all ones. If the divisor is zero and the dividend is negative, the result is one.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_SREM
public static final Kind BITVECTOR_SREM
Signed bit-vector remainder (sign follows dividend). Two's complement signed remainder of two bit-vectors where the sign follows the dividend. If the modulus is zero, the result is the dividend.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_SMOD
public static final Kind BITVECTOR_SMOD
Signed bit-vector remainder (sign follows divisor). Two's complement signed remainder where the sign follows the divisor. If the modulus is zero, the result is the dividend.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_SHL
public static final Kind BITVECTOR_SHL
Bit-vector shift left.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_LSHR
public static final Kind BITVECTOR_LSHR
Bit-vector logical shift right.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_ASHR
public static final Kind BITVECTOR_ASHR
Bit-vector arithmetic shift right.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_ULT
public static final Kind BITVECTOR_ULT
Bit-vector unsigned less than.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_ULE
public static final Kind BITVECTOR_ULE
Bit-vector unsigned less than or equal.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_UGT
public static final Kind BITVECTOR_UGT
Bit-vector unsigned greater than.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_UGE
public static final Kind BITVECTOR_UGE
Bit-vector unsigned greater than or equal.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_SLT
public static final Kind BITVECTOR_SLT
Bit-vector signed less than.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_SLE
public static final Kind BITVECTOR_SLE
Bit-vector signed less than or equal.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_SGT
public static final Kind BITVECTOR_SGT
Bit-vector signed greater than.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_SGE
public static final Kind BITVECTOR_SGE
Bit-vector signed greater than or equal.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_ULTBV
public static final Kind BITVECTOR_ULTBV
Bit-vector unsigned less than returning a bit-vector of size 1.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_SLTBV
public static final Kind BITVECTOR_SLTBV
Bit-vector signed less than returning a bit-vector of size1
.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_ITE
public static final Kind BITVECTOR_ITE
Bit-vector if-then-else. Same semantics as regular ITE, but condition is bit-vector of size1
.- Arity:
3
1:
Term of bit-vector Sort of size `1`1..3:
Terms of bit-vector sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_REDOR
public static final Kind BITVECTOR_REDOR
Bit-vector redor.- Arity:
1
1:
Term of bit-vector Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_REDAND
public static final Kind BITVECTOR_REDAND
Bit-vector redand.- Arity:
1
1:
Term of bit-vector Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_NEGO
public static final Kind BITVECTOR_NEGO
Bit-vector negation overflow detection.- Arity:
1
1:
Term of bit-vector Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_UADDO
public static final Kind BITVECTOR_UADDO
Bit-vector unsigned addition overflow detection.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_SADDO
public static final Kind BITVECTOR_SADDO
Bit-vector signed addition overflow detection.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_UMULO
public static final Kind BITVECTOR_UMULO
Bit-vector unsigned multiplication overflow detection.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_SMULO
public static final Kind BITVECTOR_SMULO
Bit-vector signed multiplication overflow detection.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_USUBO
public static final Kind BITVECTOR_USUBO
Bit-vector unsigned subtraction overflow detection.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_SSUBO
public static final Kind BITVECTOR_SSUBO
Bit-vector signed subtraction overflow detection.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_SDIVO
public static final Kind BITVECTOR_SDIVO
Bit-vector signed division overflow detection.- Arity:
2
1..2:
Terms of bit-vector Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_EXTRACT
public static final Kind BITVECTOR_EXTRACT
Bit-vector extract.- Arity:
1
1:
Term of bit-vector Sort
- Indices:
2
1:
The upper bit index.2:
The lower bit index.
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_REPEAT
public static final Kind BITVECTOR_REPEAT
Bit-vector repeat.- Arity:
1
1:
Term of bit-vector Sort
- Indices:
1
1:
The number of times to repeat the given term.
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_ZERO_EXTEND
public static final Kind BITVECTOR_ZERO_EXTEND
Bit-vector zero extension.- Arity:
1
1:
Term of bit-vector Sort
- Indices:
1
1:
The number of zeroes to extend the given term with.
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_SIGN_EXTEND
public static final Kind BITVECTOR_SIGN_EXTEND
Bit-vector sign extension.- Arity:
1
1:
Term of bit-vector Sort
- Indices:
1
1:
The number of bits (of the value of the sign bit) to extend the given term with.
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_ROTATE_LEFT
public static final Kind BITVECTOR_ROTATE_LEFT
Bit-vector rotate left.- Arity:
1
1:
Term of bit-vector Sort
- Indices:
1
1:
The number of bits to rotate the given term left.
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_ROTATE_RIGHT
public static final Kind BITVECTOR_ROTATE_RIGHT
Bit-vector rotate right.- Arity:
1
1:
Term of bit-vector Sort
- Indices:
1
1:
The number of bits to rotate the given term right.
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
INT_TO_BITVECTOR
public static final Kind INT_TO_BITVECTOR
Conversion from Int to bit-vector.- Arity:
1
1:
Term of Sort Int
- Indices:
1
1:
The size of the bit-vector to convert to.
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_TO_NAT
public static final Kind BITVECTOR_TO_NAT
Bit-vector conversion to (non-negative) integer.- Arity:
1
1:
Term of bit-vector Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BITVECTOR_FROM_BOOLS
public static final Kind BITVECTOR_FROM_BOOLS
Converts a list of Bool terms to a bit-vector.- Arity:
n > 0
1..n:
Terms of Sort Bool
- Note:
- May be returned as the result of an API call, but terms of this kind may not be created explicitly via the API and may not appear in assertions.
- Arity:
-
BITVECTOR_BIT
public static final Kind BITVECTOR_BIT
Retrieves the bit at the given index from a bit-vector as a Bool term.- Arity:
1
1:
Term of bit-vector Sort
- Indices:
1
1:
The bit index
- Note:
- May be returned as the result of an API call, but terms of this kind may not be created explicitly via the API and may not appear in assertions.
- Arity:
-
CONST_FINITE_FIELD
public static final Kind CONST_FINITE_FIELD
Finite field constant.- Create Term of this Kind with:
-
FINITE_FIELD_NEG
public static final Kind FINITE_FIELD_NEG
Negation of a finite field element (additive inverse).- Arity:
1
1:
Term of finite field Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FINITE_FIELD_ADD
public static final Kind FINITE_FIELD_ADD
Addition of two or more finite field elements.- Arity:
n > 1
1..n:
Terms of finite field Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FINITE_FIELD_BITSUM
public static final Kind FINITE_FIELD_BITSUM
Bitsum of two or more finite field elements: x + 2y + 4z + ...- Arity:
n > 1
1..n:
Terms of finite field Sort (sorts must match)
- Create Term of this Kind with:
- Arity:
-
FINITE_FIELD_MULT
public static final Kind FINITE_FIELD_MULT
Multiplication of two or more finite field elements.- Arity:
n > 1
1..n:
Terms of finite field Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
CONST_FLOATINGPOINT
public static final Kind CONST_FLOATINGPOINT
Floating-point constant, created from IEEE-754 bit-vector representation of the floating-point value.- Create Term of this Kind with:
-
CONST_ROUNDINGMODE
public static final Kind CONST_ROUNDINGMODE
RoundingMode constant.- Create Term of this Kind with:
-
FLOATINGPOINT_FP
public static final Kind FLOATINGPOINT_FP
Create floating-point literal from bit-vector triple.- Arity:
3
1:
Term of bit-vector Sort of size `1` (sign bit)2:
Term of bit-vector Sort of exponent size (exponent)3:
Term of bit-vector Sort of significand size - 1 (significand without hidden bit)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_EQ
public static final Kind FLOATINGPOINT_EQ
Floating-point equality.- Arity:
2
1..2:
Terms of floating-point Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_ABS
public static final Kind FLOATINGPOINT_ABS
Floating-point absolute value.- Arity:
1
1:
Term of floating-point Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_NEG
public static final Kind FLOATINGPOINT_NEG
Floating-point negation.- Arity:
1
1:
Term of floating-point Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_ADD
public static final Kind FLOATINGPOINT_ADD
Floating-point addition.- Arity:
3
1:
Term of Sort RoundingMode2..3:
Terms of floating-point Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_SUB
public static final Kind FLOATINGPOINT_SUB
Floating-point sutraction.- Arity:
3
1:
Term of Sort RoundingMode2..3:
Terms of floating-point Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_MULT
public static final Kind FLOATINGPOINT_MULT
Floating-point multiply.- Arity:
3
1:
Term of Sort RoundingMode2..3:
Terms of floating-point Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_DIV
public static final Kind FLOATINGPOINT_DIV
Floating-point division.- Arity:
3
1:
Term of Sort RoundingMode2..3:
Terms of floating-point Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_FMA
public static final Kind FLOATINGPOINT_FMA
Floating-point fused multiply and add.- Arity:
4
1:
Term of Sort RoundingMode2..4:
Terms of floating-point Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_SQRT
public static final Kind FLOATINGPOINT_SQRT
Floating-point square root.- Arity:
2
1:
Term of Sort RoundingMode2:
Term of floating-point Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_REM
public static final Kind FLOATINGPOINT_REM
Floating-point remainder.- Arity:
2
1..2:
Terms of floating-point Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_RTI
public static final Kind FLOATINGPOINT_RTI
Floating-point round to integral.- Arity:
2
1..2:
Terms of floating-point Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_MIN
public static final Kind FLOATINGPOINT_MIN
Floating-point minimum.- Arity:
2
1:
Term of Sort RoundingMode2:
Term of floating-point Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_MAX
public static final Kind FLOATINGPOINT_MAX
Floating-point maximum.- Arity:
2
1..2:
Terms of floating-point Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_LEQ
public static final Kind FLOATINGPOINT_LEQ
Floating-point less than or equal.- Arity:
2
1..2:
Terms of floating-point Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_LT
public static final Kind FLOATINGPOINT_LT
Floating-point less than.- Arity:
2
1..2:
Terms of floating-point Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_GEQ
public static final Kind FLOATINGPOINT_GEQ
Floating-point greater than or equal.- Arity:
2
1..2:
Terms of floating-point Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_GT
public static final Kind FLOATINGPOINT_GT
Floating-point greater than.- Arity:
2
1..2:
Terms of floating-point Sort (sorts must match)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_IS_NORMAL
public static final Kind FLOATINGPOINT_IS_NORMAL
Floating-point is normal tester.- Arity:
1
1:
Term of floating-point Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_IS_SUBNORMAL
public static final Kind FLOATINGPOINT_IS_SUBNORMAL
Floating-point is sub-normal tester.- Arity:
1
1:
Term of floating-point Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_IS_ZERO
public static final Kind FLOATINGPOINT_IS_ZERO
Floating-point is zero tester.- Arity:
1
1:
Term of floating-point Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_IS_INF
public static final Kind FLOATINGPOINT_IS_INF
Floating-point is infinite tester.- Arity:
1
1:
Term of floating-point Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_IS_NAN
public static final Kind FLOATINGPOINT_IS_NAN
Floating-point is NaN tester.- Arity:
1
1:
Term of floating-point Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_IS_NEG
public static final Kind FLOATINGPOINT_IS_NEG
Floating-point is negative tester.- Arity:
1
1:
Term of floating-point Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_IS_POS
public static final Kind FLOATINGPOINT_IS_POS
Floating-point is positive tester.- Arity:
1
1:
Term of floating-point Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_TO_FP_FROM_IEEE_BV
public static final Kind FLOATINGPOINT_TO_FP_FROM_IEEE_BV
Conversion to floating-point from IEEE-754 bit-vector.- Arity:
1
1:
Term of bit-vector Sort
- Indices:
2
1:
The exponent size2:
The significand size
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_TO_FP_FROM_FP
public static final Kind FLOATINGPOINT_TO_FP_FROM_FP
Conversion to floating-point from floating-point.- Arity:
2
1:
Term of Sort RoundingMode2:
Term of floating-point Sort
- Indices:
2
1:
The exponent size2:
The significand size
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_TO_FP_FROM_REAL
public static final Kind FLOATINGPOINT_TO_FP_FROM_REAL
Conversion to floating-point from Real.- Arity:
2
1:
Term of Sort RoundingMode2:
Term of Sort Real
- Indices:
2
1:
The exponent size2:
The significand size
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_TO_FP_FROM_SBV
public static final Kind FLOATINGPOINT_TO_FP_FROM_SBV
Conversion to floating-point from signed bit-vector.- Arity:
2
1:
Term of Sort RoundingMode2:
Term of bit-vector Sort
- Indices:
2
1:
The exponent size2:
The significand size
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_TO_FP_FROM_UBV
public static final Kind FLOATINGPOINT_TO_FP_FROM_UBV
Conversion to floating-point from unsigned bit-vector.- Arity:
2
1:
Term of Sort RoundingMode2:
Term of bit-vector Sort
- Indices:
2
1:
The exponent size2:
The significand size
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_TO_UBV
public static final Kind FLOATINGPOINT_TO_UBV
Conversion to unsigned bit-vector from floating-point.- Arity:
2
1:
Term of Sort RoundingMode2:
Term of floating-point Sort
- Indices:
1
1:
The size of the bit-vector to convert to.
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_TO_SBV
public static final Kind FLOATINGPOINT_TO_SBV
Conversion to signed bit-vector from floating-point.- Arity:
2
1:
Term of Sort RoundingMode2:
Term of floating-point Sort
- Indices:
1
1:
The size of the bit-vector to convert to.
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FLOATINGPOINT_TO_REAL
public static final Kind FLOATINGPOINT_TO_REAL
Conversion to Real from floating-point.- Arity:
1
1:
Term of Sort Real
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SELECT
public static final Kind SELECT
Array select.- Arity:
2
1:
Term of array Sort2:
Term of array index Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STORE
public static final Kind STORE
Array store.- Arity:
3
1:
Term of array Sort2:
Term of array index Sort3:
Term of array element Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
CONST_ARRAY
public static final Kind CONST_ARRAY
Constant array.- Arity:
2
1:
Term of array Sort2:
Term of array element Sort (value)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
EQ_RANGE
public static final Kind EQ_RANGE
Equality over arrays \(a\) and \(b\) over a given range \([i,j]\), i.e., \[ \forall k . i \leq k \leq j \Rightarrow a[k] = b[k] \]- Arity:
4
1:
Term of array Sort (first array)2:
Term of array Sort (second array)3:
Term of array index Sort (lower bound of range, inclusive)4:
Term of array index Sort (upper bound of range, inclusive)
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions., We currently support the creation of array equalities over index Sorts bit-vector, floating-point, Int and Real. Requires to enable option :ref:`arrays-exp<lbl-option-arrays-exp>`.
- Arity:
-
APPLY_CONSTRUCTOR
public static final Kind APPLY_CONSTRUCTOR
Datatype constructor application.- Arity:
n > 0
1:
DatatypeConstructor Term (seeDatatypeConstructor.getTerm()
)2..n:
Terms of the Sorts of the selectors of the constructor (the arguments to the constructor)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
APPLY_SELECTOR
public static final Kind APPLY_SELECTOR
Datatype selector application.- Arity:
2
1:
DatatypeSelector Term (seeDatatypeSelector.getTerm()
)2:
Term of the codomain Sort of the selector
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- Undefined if misapplied.
- Arity:
-
APPLY_TESTER
public static final Kind APPLY_TESTER
Datatype tester application.- Arity:
2
1:
Datatype tester Term (seeDatatypeConstructor.getTesterTerm()
)2:
Term of Datatype Sort (DatatypeConstructor must belong to this Datatype Sort)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
APPLY_UPDATER
public static final Kind APPLY_UPDATER
Datatype update application.- Arity:
3
1:
Datatype updater Term (seeDatatypeSelector.getUpdaterTerm()
)2:
Term of Datatype Sort (DatatypeSelector of the updater must belong to a constructor of this Datatype Sort)3:
Term of the codomain Sort of the selector (the Term to update the field of the datatype term with)
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- Does not change the datatype argument if misapplied.
- Arity:
-
MATCH
public static final Kind MATCH
Match expression. This kind is primarily used in the parser to support the SMT-LIBv2match
expression. For example, the SMT-LIBv2 syntax for the following match term .. code. smtlib (match l (((cons h t) h) (nil 0))) is represented by the AST .. code. lisp (MATCH l (MATCH_BIND_CASE (VARIABLE_LIST h t) (cons h t) h) (MATCH_CASE nil 0)) Terms of kind MATCH_CASE are constant case expressions, which are used for nullary constructors. Kind MATCH_BIND_CASE is used for constructors with selectors and variable match patterns. If not all constructors are covered, at least one catch-all variable pattern must be included.- Arity:
n > 1
1..n:
Terms of kind MATCH_CASE and MATCH_BIND_CASE
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
MATCH_CASE
public static final Kind MATCH_CASE
Match case for nullary constructors. A (constant) case expression to be used within a match expression.- Arity:
2
1:
Term of kind APPLY_CONSTRUCTOR (the pattern to match against)2:
Term of any Sort (the term the match term evaluates to)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
MATCH_BIND_CASE
public static final Kind MATCH_BIND_CASE
Match case with binders, for constructors with selectors and variable patterns. A (non-constant) case expression to be used within a match expression.- Arity:
3
- For variable patterns:
1:
Term of kind VARIABLE_LIST (containing the free variable of the case)2:
Term of kind VARIABLE (the pattern expression, the free variable of the case)3:
Term of any Sort (the term the pattern evaluates to)
- For variable patterns:
- For constructors with selectors:
1:
Term of kind VARIABLE_LIST (containing the free variable of the case)2:
Term of kind APPLY_CONSTRUCTOR (the pattern expression, applying the set of variables to the constructor)3:
Term of any Sort (the term the match term evaluates to)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
TUPLE_PROJECT
public static final Kind TUPLE_PROJECT
Tuple projection. This operator takes a tuple as an argument and returns a tuple obtained by concatenating components of its argument at the provided indices. For example, .. code. smtlib ((_ tuple.project 1 2 2 3 1) (tuple 10 20 30 40)) yields .. code. smtlib (tuple 20 30 30 40 20)- Arity:
1
1:
Term of tuple Sort
- Indices:
n
1..n:
The tuple indices to project
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
NULLABLE_LIFT
public static final Kind NULLABLE_LIFT
Lifting operator for nullable terms. This operator lifts a built-in operator or a user-defined function to nullable terms. For built-in kinds use mkNullableLift. For user-defined functions use mkTerm.- Arity:
n > 1
1..n:
Terms of nullable sort- Create Term of this Kind with:
- Arity:
-
SEP_NIL
public static final Kind SEP_NIL
Separation logic nil.- Create Term of this Kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
-
SEP_EMP
public static final Kind SEP_EMP
Separation logic empty heap.- Create Term of this Kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
-
SEP_PTO
public static final Kind SEP_PTO
Separation logic points-to relation.- Arity:
2
1:
Term denoting the location of the points-to constraint2:
Term denoting the data of the points-to constraint
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
SEP_STAR
public static final Kind SEP_STAR
Separation logic star.- Arity:
n > 1
1..n:
Terms of sort Bool (the child constraints that hold in disjoint (separated) heaps)
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
SEP_WAND
public static final Kind SEP_WAND
Separation logic magic wand.- Arity:
2
1:
Terms of Sort Bool (the antecendant of the magic wand constraint)2:
Terms of Sort Bool (conclusion of the magic wand constraint, which is asserted to hold in all heaps that are disjoint extensions of the antecedent)
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
SET_EMPTY
public static final Kind SET_EMPTY
Empty set.- Create Term of this Kind with:
-
SET_UNION
public static final Kind SET_UNION
Set union.- Arity:
2
1..2:
Terms of set Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SET_INTER
public static final Kind SET_INTER
Set intersection.- Arity:
2
1..2:
Terms of set Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SET_MINUS
public static final Kind SET_MINUS
Set subtraction.- Arity:
2
1..2:
Terms of set Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SET_SUBSET
public static final Kind SET_SUBSET
Subset predicate. Determines if the first set is a subset of the second set.- Arity:
2
1..2:
Terms of set Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SET_MEMBER
public static final Kind SET_MEMBER
Set membership predicate. Determines if the given set element is a member of the second set.- Arity:
2
1:
Term of any Sort (must match the element Sort of the given set Term)2:
Term of set Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SET_SINGLETON
public static final Kind SET_SINGLETON
Singleton set. Construct a singleton set from an element given as a parameter. The returned set has the same Sort as the element.- Arity:
1
1:
Term of any Sort (the set element)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SET_INSERT
public static final Kind SET_INSERT
The set obtained by inserting elements;- Arity:
n > 0
1..n-1:
Terms of any Sort (must match the element sort of the given set Term)n:
Term of set Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SET_CARD
public static final Kind SET_CARD
Set cardinality.- Arity:
1
1:
Term of set Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SET_COMPLEMENT
public static final Kind SET_COMPLEMENT
Set complement with respect to finite universe.- Arity:
1
1:
Term of set Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SET_UNIVERSE
public static final Kind SET_UNIVERSE
Finite universe set. All set variables must be interpreted as subsets of it.- Create Term of this Kind with:
- Note:
- SET_UNIVERSE is considered a special symbol of
the theory of sets and is not considered as a set value, i.e.,
Term.isSetValue()
will returnfalse
.
-
SET_COMPREHENSION
public static final Kind SET_COMPREHENSION
Set comprehension A set comprehension is specified by a variable list \(x_1 ... x_n\), a predicate \(P[x_1...x_n]\), and a term \(t[x_1...x_n]\). A comprehension \(C\) with the above form has members given by the following semantics: .. math. \forall y. ( \exists x_1...x_n. P[x_1...x_n] \wedge t[x_1...x_n] = y ) \Leftrightarrow (set.member \; y \; C) where \(y\) ranges over the element Sort of the (set) Sort of the comprehension. If \(t[x_1..x_n]\) is not provided, it is equivalent to \(y\) in the above formula.- Arity:
3
1:
Term of Kind VARIABLE_LIST2:
Term of sort Bool (the predicate of the comprehension)3:
(optional) Term denoting the generator for the comprehension
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
SET_CHOOSE
public static final Kind SET_CHOOSE
Set choose. Select an element from a given set. For a set \(A = \{x\}\), the term (set.choose \(A\)) is equivalent to the term \(x_1\). For an empty set, it is an arbitrary value. For a set with cardinality > 1, it will deterministically return an element in \(A\).- Arity:
1
1:
Term of set Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
SET_IS_EMPTY
public static final Kind SET_IS_EMPTY
Set is empty tester.- Arity:
1
1:
Term of set Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
SET_IS_SINGLETON
public static final Kind SET_IS_SINGLETON
Set is singleton tester.- Arity:
1
1:
Term of set Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
SET_MAP
public static final Kind SET_MAP
Set map. This operator applies the first argument, a function of Sort \((\rightarrow S_1 \; S_2)\), to every element of the second argument, a set of Sort (Set \(S_1\)), and returns a set of Sort (Set \(S_2\)).- Arity:
2
1:
Term of function Sort \((\rightarrow S_1 \; S_2)\)2:
Term of set Sort (Set \(S_1\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
SET_FILTER
public static final Kind SET_FILTER
Set filter. This operator filters the elements of a set. (set.filter \(p \; A\)) takes a predicate \(p\) of Sort \((\rightarrow T \; Bool)\) as a first argument, and a set \(A\) of Sort (Set \(T\)) as a second argument, and returns a subset of Sort (Set \(T\)) that includes all elements of \(A\) that satisfy \(p\).- Arity:
2
1:
Term of function Sort \((\rightarrow T \; Bool)\)2:
Term of bag Sort (Set \(T\))
- Create Term of this Kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
SET_FOLD
public static final Kind SET_FOLD
Set fold. This operator combines elements of a set into a single value. (set.fold \(f \; t \; A\)) folds the elements of set \(A\) starting with Term \(t\) and using the combining function \(f\).- Arity:
2
1:
Term of function Sort \((\rightarrow S_1 \; S_2 \; S_2)\)2:
Term of Sort \(S_2\) (the initial value)3:
Term of bag Sort (Set \(S_1\))
- Create Term of this Kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
RELATION_JOIN
public static final Kind RELATION_JOIN
Relation join.- Arity:
2
1..2:
Terms of relation Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
RELATION_TABLE_JOIN
public static final Kind RELATION_TABLE_JOIN
Table join operator for relations has the form \(((\_ \; rel.table\_join \; m_1 \; n_1 \; \dots \; m_k \; n_k) \; A \; B)\) where \(m_1 \; n_1 \; \dots \; m_k \; n_k\) are natural numbers, and \(A, B\) are relations. This operator filters the product of two sets based on the equality of projected tuples using indices \(m_1, \dots, m_k\) in relation \(A\), and indices \(n_1, \dots, n_k\) in relation \(B\).- Arity:
2
1:
Term of relation Sort2:
Term of relation Sort
- Indices:
n
1..n:
Indices of the projection
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
RELATION_PRODUCT
public static final Kind RELATION_PRODUCT
Relation cartesian product.- Arity:
2
1..2:
Terms of relation Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
RELATION_TRANSPOSE
public static final Kind RELATION_TRANSPOSE
Relation transpose.- Arity:
1
1:
Term of relation Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
RELATION_TCLOSURE
public static final Kind RELATION_TCLOSURE
Relation transitive closure.- Arity:
1
1:
Term of relation Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
RELATION_JOIN_IMAGE
public static final Kind RELATION_JOIN_IMAGE
Relation join image.- Arity:
2
1..2:
Terms of relation Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
RELATION_IDEN
public static final Kind RELATION_IDEN
Relation identity.- Arity:
1
1:
Term of relation Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
RELATION_GROUP
public static final Kind RELATION_GROUP
Relation group \(((\_ \; rel.group \; n_1 \; \dots \; n_k) \; A)\) partitions tuples of relation \(A\) such that tuples that have the same projection with indices \(n_1 \; \dots \; n_k\) are in the same part. It returns a set of relations of type \((Set \; T)\) where \(T\) is the type of \(A\).- Arity:
1
1:
Term of relation sort
- Indices:
n
1..n:
Indices of the projection
- Create Term of this Kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
RELATION_AGGREGATE
public static final Kind RELATION_AGGREGATE
Relation aggregate operator has the form \(((\_ \; rel.aggr \; n_1 ... n_k) \; f \; i \; A)\) where \(n_1, ..., n_k\) are natural numbers, \(f\) is a function of type \((\rightarrow (Tuple \; T_1 \; ... \; T_j)\; T \; T)\), \(i\) has the type \(T\), and \(A\) has type \((Relation \; T_1 \; ... \; T_j)\). The returned type is \((Set \; T)\). This operator aggregates elements in A that have the same tuple projection with indices n_1, ..., n_k using the combining function \(f\), and initial value \(i\).- Arity:
3
1:
Term of sort \((\rightarrow (Tuple \; T_1 \; ... \; T_j)\; T \; T)\)2:
Term of Sort \(T\)3:
Term of relation sort \(Relation T_1 ... T_j\)
- Indices:
n
1..n:
Indices of the projection
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
RELATION_PROJECT
public static final Kind RELATION_PROJECT
Relation projection operator extends tuple projection operator to sets.- Arity:
1
1:
Term of relation Sort
- Indices:
n
1..n:
Indices of the projection
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
BAG_EMPTY
public static final Kind BAG_EMPTY
Empty bag.- Create Term of this Kind with:
-
BAG_UNION_MAX
public static final Kind BAG_UNION_MAX
Bag max union.- Arity:
2
1..2:
Terms of bag Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BAG_UNION_DISJOINT
public static final Kind BAG_UNION_DISJOINT
Bag disjoint union (sum).- Arity:
2
1..2:
Terms of bag Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BAG_INTER_MIN
public static final Kind BAG_INTER_MIN
Bag intersection (min).- Arity:
2
1..2:
Terms of bag Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BAG_DIFFERENCE_SUBTRACT
public static final Kind BAG_DIFFERENCE_SUBTRACT
Bag difference subtract. Subtracts multiplicities of the second from the first.- Arity:
2
1..2:
Terms of bag Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BAG_DIFFERENCE_REMOVE
public static final Kind BAG_DIFFERENCE_REMOVE
Bag difference remove. Removes shared elements in the two bags.- Arity:
2
1..2:
Terms of bag Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BAG_SUBBAG
public static final Kind BAG_SUBBAG
Bag inclusion predicate. Determine if multiplicities of the first bag are less than or equal to multiplicities of the second bag.- Arity:
2
1..2:
Terms of bag Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BAG_COUNT
public static final Kind BAG_COUNT
Bag element multiplicity.- Create Term of this Kind with:
-
BAG_MEMBER
public static final Kind BAG_MEMBER
Bag membership predicate.- Arity:
2
1:
Term of any Sort (must match the element Sort of the given bag Term)2:
Terms of bag Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BAG_SETOF
public static final Kind BAG_SETOF
Bag setof. Eliminate duplicates in a given bag. The returned bag contains exactly the same elements in the given bag, but with multiplicity one.- Arity:
1
1:
Term of bag Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
BAG_MAKE
public static final Kind BAG_MAKE
Bag make. Construct a bag with the given element and given multiplicity.- Arity:
2
1:
Term of any Sort (the bag element)2:
Term of Sort Int (the multiplicity of the element)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
BAG_CARD
public static final Kind BAG_CARD
Bag cardinality.- Arity:
1
1:
Term of bag Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
BAG_CHOOSE
public static final Kind BAG_CHOOSE
Bag choose. Select an element from a given bag. For a bag \(A = \{(x,n)\}\) where \(n\) is the multiplicity, then the term (choose \(A\)) is equivalent to the term \(x\). For an empty bag, then it is an arbitrary value. For a bag that contains distinct elements, it will deterministically return an element in \(A\).- Arity:
1
1:
Term of bag Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
BAG_MAP
public static final Kind BAG_MAP
Bag map. This operator applies the first argument, a function of Sort \((\rightarrow S_1 \; S_2)\), to every element of the second argument, a set of Sort (Bag \(S_1\)), and returns a set of Sort (Bag \(S_2\)).- Arity:
2
1:
Term of function Sort \((\rightarrow S_1 \; S_2)\)2:
Term of bag Sort (Bag \(S_1\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
BAG_FILTER
public static final Kind BAG_FILTER
Bag filter. This operator filters the elements of a bag. (bag.filter \(p \; B\)) takes a predicate \(p\) of Sort \((\rightarrow T \; Bool)\) as a first argument, and a bag \(B\) of Sort (Bag \(T\)) as a second argument, and returns a subbag of Sort (Bag \(T\)) that includes all elements of \(B\) that satisfy \(p\) with the same multiplicity.- Arity:
2
1:
Term of function Sort \((\rightarrow T \; Bool)\)2:
Term of bag Sort (Bag \(T\))
- Create Term of this Kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
BAG_FOLD
public static final Kind BAG_FOLD
Bag fold. This operator combines elements of a bag into a single value. (bag.fold \(f \; t \; B\)) folds the elements of bag \(B\) starting with Term \(t\) and using the combining function \(f\).- Arity:
2
1:
Term of function Sort \((\rightarrow S_1 \; S_2 \; S_2)\)2:
Term of Sort \(S_2\) (the initial value)3:
Term of bag Sort (Bag \(S_1\))
- Create Term of this Kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
BAG_PARTITION
public static final Kind BAG_PARTITION
Bag partition. This operator partitions of a bag of elements into disjoint bags. (bag.partition \(r \; B\)) partitions the elements of bag \(B\) of type \((Bag \; E)\) based on the equivalence relations \(r\) of type \((\rightarrow \; E \; E \; Bool)\). It returns a bag of bags of type \((Bag \; (Bag \; E))\).- Arity:
2
1:
Term of function Sort \((\rightarrow \; E \; E \; Bool)\)2:
Term of bag Sort (Bag \(E\))
- Create Term of this Kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
TABLE_PRODUCT
public static final Kind TABLE_PRODUCT
Table cross product.- Arity:
2
1..2:
Terms of table Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
TABLE_PROJECT
public static final Kind TABLE_PROJECT
Table projection operator extends tuple projection operator to tables.- Arity:
1
1:
Term of table Sort
- Indices:
n
1..n:
Indices of the projection
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
TABLE_AGGREGATE
public static final Kind TABLE_AGGREGATE
Table aggregate operator has the form \(((\_ \; table.aggr \; n_1 ... n_k) \; f \; i \; A)\) where \(n_1, ..., n_k\) are natural numbers, \(f\) is a function of type \((\rightarrow (Tuple \; T_1 \; ... \; T_j)\; T \; T)\), \(i\) has the type \(T\), and \(A\) has type \((Table \; T_1 \; ... \; T_j)\). The returned type is \((Bag \; T)\). This operator aggregates elements in A that have the same tuple projection with indices n_1, ..., n_k using the combining function \(f\), and initial value \(i\).- Arity:
3
1:
Term of sort \((\rightarrow (Tuple \; T_1 \; ... \; T_j)\; T \; T)\)2:
Term of Sort \(T\)3:
Term of table sort \(Table T_1 ... T_j\)
- Indices:
n
1..n:
Indices of the projection
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
TABLE_JOIN
public static final Kind TABLE_JOIN
Table join operator has the form \(((\_ \; table.join \; m_1 \; n_1 \; \dots \; m_k \; n_k) \; A \; B)\) where \(m_1 \; n_1 \; \dots \; m_k \; n_k\) are natural numbers, and \(A, B\) are tables. This operator filters the product of two bags based on the equality of projected tuples using indices \(m_1, \dots, m_k\) in table \(A\), and indices \(n_1, \dots, n_k\) in table \(B\).- Arity:
2
1:
Term of table Sort2:
Term of table Sort
- Indices:
n
1..n:
Indices of the projection
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
TABLE_GROUP
public static final Kind TABLE_GROUP
Table group \(((\_ \; table.group \; n_1 \; \dots \; n_k) \; A)\) partitions tuples of table \(A\) such that tuples that have the same projection with indices \(n_1 \; \dots \; n_k\) are in the same part. It returns a bag of tables of type \((Bag \; T)\) where \(T\) is the type of \(A\).- Arity:
1
1:
Term of table sort
- Indices:
n
1..n:
Indices of the projection
- Create Term of this Kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions.
- Arity:
-
STRING_CONCAT
public static final Kind STRING_CONCAT
String concat.- Arity:
n > 1
1..n:
Terms of Sort String
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_IN_REGEXP
public static final Kind STRING_IN_REGEXP
String membership.- Arity:
2
1:
Term of Sort String2:
Term of Sort RegLan
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_LENGTH
public static final Kind STRING_LENGTH
String length.- Arity:
1
1:
Term of Sort String
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_SUBSTR
public static final Kind STRING_SUBSTR
String substring. Extracts a substring, starting at index \(i\) and of length \(l\), from a string \(s\). If the start index is negative, the start index is greater than the length of the string, or the length is negative, the result is the empty string.- Arity:
3
1:
Term of Sort String2:
Term of Sort Int (index \(i\))3:
Term of Sort Int (length \(l\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_UPDATE
public static final Kind STRING_UPDATE
String update. Updates a string \(s\) by replacing its context starting at an index with string \(t\). If the start index is negative, the start index is greater than the length of the string, the result is \(s\). Otherwise, the length of the original string is preserved.- Arity:
3
1:
Term of Sort String2:
Term of Sort Int (index \(i\))3:
Term of Sort Strong (replacement string \(t\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_CHARAT
public static final Kind STRING_CHARAT
String character at. Returns the character at index \(i\) from a string \(s\). If the index is negative or the index is greater than the length of the string, the result is the empty string. Otherwise the result is a string of length 1.- Arity:
2
1:
Term of Sort String (string \(s\))2:
Term of Sort Int (index \(i\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_CONTAINS
public static final Kind STRING_CONTAINS
String contains. Determines whether a string \(s_1\) contains another string \(s_2\). If \(s_2\) is empty, the result is alwaystrue
.- Arity:
2
1:
Term of Sort String (the string \(s_1\))2:
Term of Sort String (the string \(s_2\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_INDEXOF
public static final Kind STRING_INDEXOF
String index-of. Returns the index of a substring \(s_2\) in a string \(s_1\) starting at index \(i\). If the index is negative or greater than the length of string \(s_1\) or the substring \(s_2\) does not appear in string \(s_1\) after index \(i\), the result is -1.- Arity:
2
1:
Term of Sort String (substring \(s_1\))2:
Term of Sort String (substring \(s_2\))3:
Term of Sort Int (index \(i\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_INDEXOF_RE
public static final Kind STRING_INDEXOF_RE
String index-of regular expression match. Returns the first match of a regular expression \(r\) in a string \(s\). If the index is negative or greater than the length of string \(s_1\), or \(r\) does not match a substring in \(s\) after index \(i\), the result is -1.- Arity:
3
1:
Term of Sort String (string \(s\))2:
Term of Sort RegLan (regular expression \(r\))3:
Term of Sort Int (index \(i\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_REPLACE
public static final Kind STRING_REPLACE
String replace. Replaces a string \(s_2\) in a string \(s_1\) with string \(s_3\). If \(s_2\) does not appear in \(s_1\), \(s_1\) is returned unmodified.- Arity:
3
1:
Term of Sort String (string \(s_1\))2:
Term of Sort String (string \(s_2\))3:
Term of Sort String (string \(s_3\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_REPLACE_ALL
public static final Kind STRING_REPLACE_ALL
String replace all. Replaces all occurrences of a string \(s_2\) in a string \(s_1\) with string \(s_3\). If \(s_2\) does not appear in \(s_1\), \(s_1\) is returned unmodified.- Arity:
3
1:
Term of Sort String (\(s_1\))2:
Term of Sort String (\(s_2\))3:
Term of Sort String (\(s_3\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_REPLACE_RE
public static final Kind STRING_REPLACE_RE
String replace regular expression match. Replaces the first match of a regular expression \(r\) in string \(s_1\) with string \(s_2\). If \(r\) does not match a substring of \(s_1\), \(s_1\) is returned unmodified.- Arity:
3
1:
Term of Sort String (\(s_1\))2:
Term of Sort RegLan3:
Term of Sort String (\(s_2\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_REPLACE_RE_ALL
public static final Kind STRING_REPLACE_RE_ALL
String replace all regular expression matches. Replaces all matches of a regular expression \(r\) in string \(s_1\) with string \(s_2\). If \(r\) does not match a substring of \(s_1\), string \(s_1\) is returned unmodified.- Arity:
3
1:
Term of Sort String (\(s_1\))2:
Term of Sort RegLan3:
Term of Sort String (\(s_2\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_TO_LOWER
public static final Kind STRING_TO_LOWER
String to lower case.- Arity:
1
1:
Term of Sort String
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_TO_UPPER
public static final Kind STRING_TO_UPPER
String to upper case.- Arity:
1
1:
Term of Sort String
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_REV
public static final Kind STRING_REV
String reverse.- Arity:
1
1:
Term of Sort String
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_TO_CODE
public static final Kind STRING_TO_CODE
String to code. Returns the code point of a string if it has length one, or returns `-1` otherwise.- Arity:
1
1:
Term of Sort String
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_FROM_CODE
public static final Kind STRING_FROM_CODE
String from code. Returns a string containing a single character whose code point matches the argument to this function, or the empty string if the argument is out-of-bounds.- Arity:
1
1:
Term of Sort Int
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_LT
public static final Kind STRING_LT
String less than. Returns true if string \(s_1\) is (strictly) less than \(s_2\) based on a lexiographic ordering over code points.- Arity:
2
1:
Term of Sort String (\(s_1\))2:
Term of Sort String (\(s_2\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_LEQ
public static final Kind STRING_LEQ
String less than or equal. Returns true if string \(s_1\) is less than or equal to \(s_2\) based on a lexiographic ordering over code points.- Arity:
2
1:
Term of Sort String (\(s_1\))2:
Term of Sort String (\(s_2\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_PREFIX
public static final Kind STRING_PREFIX
String prefix-of. Determines whether a string \(s_1\) is a prefix of string \(s_2\). If string s1 is empty, this operator returnstrue
.- Arity:
2
1:
Term of Sort String (\(s_1\))2:
Term of Sort String (\(s_2\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_SUFFIX
public static final Kind STRING_SUFFIX
String suffix-of. Determines whether a string \(s_1\) is a suffix of the second string. If string \(s_1\) is empty, this operator returnstrue
.- Arity:
2
1:
Term of Sort String (\(s_1\))2:
Term of Sort String (\(s_2\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_IS_DIGIT
public static final Kind STRING_IS_DIGIT
String is-digit. Returns true if given string is a digit (it is one of"0"
, ...,"9"
).- Arity:
1
1:
Term of Sort String
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_FROM_INT
public static final Kind STRING_FROM_INT
Conversion from Int to String. If the integer is negative this operator returns the empty string.- Arity:
1
1:
Term of Sort Int
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
STRING_TO_INT
public static final Kind STRING_TO_INT
String to integer (total function). If the string does not contain an integer or the integer is negative, the operator returns `-1`.- Arity:
1
1:
Term of Sort Int
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
CONST_STRING
public static final Kind CONST_STRING
Constant string.- Create Term of this Kind with:
-
STRING_TO_REGEXP
public static final Kind STRING_TO_REGEXP
Conversion from string to regexp.- Arity:
1
1:
Term of Sort String
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
REGEXP_CONCAT
public static final Kind REGEXP_CONCAT
Regular expression concatenation.- Arity:
2
1..2:
Terms of Sort RegLan
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
REGEXP_UNION
public static final Kind REGEXP_UNION
Regular expression union.- Arity:
2
1..2:
Terms of Sort RegLan
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
REGEXP_INTER
public static final Kind REGEXP_INTER
Regular expression intersection.- Arity:
2
1..2:
Terms of Sort RegLan
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
REGEXP_DIFF
public static final Kind REGEXP_DIFF
Regular expression difference.- Arity:
2
1..2:
Terms of Sort RegLan
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
REGEXP_STAR
public static final Kind REGEXP_STAR
Regular expression \*.- Arity:
1
1:
Term of Sort RegLan
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
REGEXP_PLUS
public static final Kind REGEXP_PLUS
Regular expression +.- Arity:
1
1:
Term of Sort RegLan
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
REGEXP_OPT
public static final Kind REGEXP_OPT
Regular expression ?.- Arity:
1
1:
Term of Sort RegLan
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
REGEXP_RANGE
public static final Kind REGEXP_RANGE
Regular expression range.- Arity:
2
1:
Term of Sort String (lower bound character for the range)2:
Term of Sort String (upper bound character for the range)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
REGEXP_REPEAT
public static final Kind REGEXP_REPEAT
Operator for regular expression repeat.- Arity:
1
1:
Term of Sort RegLan
- Indices:
1
1:
The number of repetitions
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
REGEXP_LOOP
public static final Kind REGEXP_LOOP
Regular expression loop. Regular expression loop from lower bound to upper bound number of repetitions.- Arity:
1
1:
Term of Sort RegLan
- Indices:
1
1:
The lower bound2:
The upper bound
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
REGEXP_NONE
public static final Kind REGEXP_NONE
Regular expression none.- Create Term of this Kind with:
-
REGEXP_ALL
public static final Kind REGEXP_ALL
Regular expression all.- Create Term of this Kind with:
-
REGEXP_ALLCHAR
public static final Kind REGEXP_ALLCHAR
Regular expression all characters.- Create Term of this Kind with:
-
REGEXP_COMPLEMENT
public static final Kind REGEXP_COMPLEMENT
Regular expression complement.- Arity:
1
1:
Term of Sort RegLan
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SEQ_CONCAT
public static final Kind SEQ_CONCAT
Sequence concat.- Arity:
n > 1
1..n:
Terms of sequence Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SEQ_LENGTH
public static final Kind SEQ_LENGTH
Sequence length.- Arity:
1
1:
Term of sequence Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SEQ_EXTRACT
public static final Kind SEQ_EXTRACT
Sequence extract. Extracts a subsequence, starting at index \(i\) and of length \(l\), from a sequence \(s\). If the start index is negative, the start index is greater than the length of the sequence, or the length is negative, the result is the empty sequence.- Arity:
3
1:
Term of sequence Sort2:
Term of Sort Int (index \(i\))3:
Term of Sort Int (length \(l\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SEQ_UPDATE
public static final Kind SEQ_UPDATE
Sequence update. Updates a sequence \(s\) by replacing its context starting at an index with string \(t\). If the start index is negative, the start index is greater than the length of the sequence, the result is \(s\). Otherwise, the length of the original sequence is preserved.- Arity:
3
1:
Term of sequence Sort2:
Term of Sort Int (index \(i\))3:
Term of sequence Sort (replacement sequence \(t\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SEQ_AT
public static final Kind SEQ_AT
Sequence element at. Returns the element at index \(i\) from a sequence \(s\). If the index is negative or the index is greater or equal to the length of the sequence, the result is the empty sequence. Otherwise the result is a sequence of length1
.- Arity:
2
1:
Term of sequence Sort2:
Term of Sort Int (index \(i\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SEQ_CONTAINS
public static final Kind SEQ_CONTAINS
Sequence contains. Checks whether a sequence \(s_1\) contains another sequence \(s_2\). If \(s_2\) is empty, the result is alwaystrue
.- Arity:
2
1:
Term of sequence Sort (\(s_1\))2:
Term of sequence Sort (\(s_2\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SEQ_INDEXOF
public static final Kind SEQ_INDEXOF
Sequence index-of. Returns the index of a subsequence \(s_2\) in a sequence \(s_1\) starting at index \(i\). If the index is negative or greater than the length of sequence \(s_1\) or the subsequence \(s_2\) does not appear in sequence \(s_1\) after index \(i\), the result is -1.- Arity:
3
1:
Term of sequence Sort (\(s_1\))2:
Term of sequence Sort (\(s_2\))3:
Term of Sort Int (\(i\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SEQ_REPLACE
public static final Kind SEQ_REPLACE
Sequence replace. Replaces the first occurrence of a sequence \(s_2\) in a sequence \(s_1\) with sequence \(s_3\). If \(s_2\) does not appear in \(s_1\), \(s_1\) is returned unmodified.- Arity:
3
1:
Term of sequence Sort (\(s_1\))2:
Term of sequence Sort (\(s_2\))3:
Term of sequence Sort (\(s_3\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SEQ_REPLACE_ALL
public static final Kind SEQ_REPLACE_ALL
Sequence replace all. Replaces all occurrences of a sequence \(s_2\) in a sequence \(s_1\) with sequence \(s_3\). If \(s_2\) does not appear in \(s_1\), sequence \(s_1\) is returned unmodified.- Arity:
3
1:
Term of sequence Sort (\(s_1\))2:
Term of sequence Sort (\(s_2\))3:
Term of sequence Sort (\(s_3\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SEQ_REV
public static final Kind SEQ_REV
Sequence reverse.- Arity:
1
1:
Term of sequence Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SEQ_PREFIX
public static final Kind SEQ_PREFIX
Sequence prefix-of. Checks whether a sequence \(s_1\) is a prefix of sequence \(s_2\). If sequence \(s_1\) is empty, this operator returnstrue
.- Arity:
1
1:
Term of sequence Sort (\(s_1\))2:
Term of sequence Sort (\(s_2\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SEQ_SUFFIX
public static final Kind SEQ_SUFFIX
Sequence suffix-of. Checks whether a sequence \(s_1\) is a suffix of sequence \(s_2\). If sequence \(s_1\) is empty, this operator returnstrue
.- Arity:
1
1:
Term of sequence Sort (\(s_1\))2:
Term of sequence Sort (\(s_2\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
CONST_SEQUENCE
public static final Kind CONST_SEQUENCE
Constant sequence. A constant sequence is a term that is equivalent to: .. code. smtlib (seq.++ (seq.unit c1) ... (seq.unit cn)) where \(n \leq 0\) and \(c_1, ..., c_n\) are constants of some sort. The elements can be extracted withTerm.getSequenceValue()
.- Create Term of this Kind with:
-
SEQ_UNIT
public static final Kind SEQ_UNIT
Sequence unit. Corresponds to a sequence of length one with the given term.- Arity:
1
1:
Term of any Sort (the element term)
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
SEQ_NTH
public static final Kind SEQ_NTH
Sequence nth. Corresponds to the nth element of a sequence.- Arity:
2
1:
Term of sequence Sort2:
Term of Sort Int (\(n\))
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
-
FORALL
public static final Kind FORALL
Universally quantified formula.- Arity:
3
1:
Term of Kind VARIABLE_LIST2:
Term of Sort Bool (the quantifier body)3:
(optional) Term of Kind INST_PATTERN
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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EXISTS
public static final Kind EXISTS
Existentially quantified formula.- Arity:
3
1:
Term of Kind VARIABLE_LIST2:
Term of Sort Bool (the quantifier body)3:
(optional) Term of Kind INST_PATTERN
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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VARIABLE_LIST
public static final Kind VARIABLE_LIST
Variable list. A list of variables (used to bind variables under a quantifier)- Arity:
n > 0
1..n:
Terms of Kind VARIABLE
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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INST_PATTERN
public static final Kind INST_PATTERN
Instantiation pattern. Specifies a (list of) terms to be used as a pattern for quantifier instantiation.- Arity:
n > 0
1..n:
Terms of any Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- Should only be used as a child of INST_PATTERN_LIST.
- Arity:
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INST_NO_PATTERN
public static final Kind INST_NO_PATTERN
Instantiation no-pattern. Specifies a (list of) terms that should not be used as a pattern for quantifier instantiation.- Arity:
n > 0
1..n:
Terms of any Sort
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- Should only be used as a child of INST_PATTERN_LIST.
- Arity:
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INST_POOL
public static final Kind INST_POOL
Instantiation pool annotation. Specifies an annotation for pool based instantiation. In detail, pool symbols can be declared via the method A pool symbol represents a set of terms of a given sort. An instantiation pool annotation should either: (1) have child sets matching the types of the quantified formula, (2) have a child set of tuple type whose component types match the types of the quantified formula. For an example of (1), for a quantified formula: .. code. lisp (FORALL (VARIABLE_LIST x y) F (INST_PATTERN_LIST (INST_POOL p q))) if \(x\) and \(y\) have Sorts \(S_1\) and \(S_2\), then pool symbols \(p\) and \(q\) should have Sorts (Set \(S_1\)) and (Set \(S_2\)), respectively. This annotation specifies that the quantified formula above should be instantiated with the product of all terms that occur in the sets \(p\) and \(q\). Alternatively, as an example of (2), for a quantified formula: .. code. lisp (FORALL (VARIABLE_LIST x y) F (INST_PATTERN_LIST (INST_POOL s))) \(s\) should have Sort (Set (Tuple \(S_1\) \(S_2\))). This annotation specifies that the quantified formula above should be instantiated with the pairs of values in \(s\).- Arity:
n > 0
1..n:
Terms that comprise the pools, which are one-to-one with the variables of the quantified formula to be instantiated
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions., Should only be used as a child of INST_PATTERN_LIST.
- Arity:
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INST_ADD_TO_POOL
public static final Kind INST_ADD_TO_POOL
A instantantiation-add-to-pool annotation. An instantantiation-add-to-pool annotation indicates that when a quantified formula is instantiated, the instantiated version of a term should be added to the given pool. For example, consider a quantified formula: .. code. lisp (FORALL (VARIABLE_LIST x) F (INST_PATTERN_LIST (INST_ADD_TO_POOL (ADD x 1) p))) where assume that \(x\) has type Int. When this quantified formula is instantiated with, e.g., the term \(t\), the term(ADD t 1)
is added to pool \(p\).- Arity:
2
1:
The Term whose free variables are bound by the quantified formula.2:
The pool to add to, whose Sort should be a set of elements that match the Sort of the first argument.
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions., Should only be used as a child of INST_PATTERN_LIST.
- Arity:
-
SKOLEM_ADD_TO_POOL
public static final Kind SKOLEM_ADD_TO_POOL
A skolemization-add-to-pool annotation. An skolemization-add-to-pool annotation indicates that when a quantified formula is skolemized, the skolemized version of a term should be added to the given pool. For example, consider a quantified formula: .. code. lisp (FORALL (VARIABLE_LIST x) F (INST_PATTERN_LIST (SKOLEM_ADD_TO_POOL (ADD x 1) p))) where assume that \(x\) has type Int. When this quantified formula is skolemized, e.g., with \(k\) of type Int, then the term(ADD k 1)
is added to the pool \(p\).- Arity:
2
1:
The Term whose free variables are bound by the quantified formula.2:
The pool to add to, whose Sort should be a set of elements that match the Sort of the first argument.
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- This kind is experimental and may be changed or removed in future versions., Should only be used as a child of INST_PATTERN_LIST.
- Arity:
-
INST_ATTRIBUTE
public static final Kind INST_ATTRIBUTE
Instantiation attribute. Specifies a custom property for a quantified formula given by a term that is ascribed a user attribute.- Arity:
n > 0
1:
Term of Kind CONST_STRING (the keyword of the attribute)2...n:
Terms representing the values of the attribute
- Create Term of this Kind with:
- Create Op of this kind with:
- Note:
- Should only be used as a child of INST_PATTERN_LIST.
- Arity:
-
INST_PATTERN_LIST
public static final Kind INST_PATTERN_LIST
A list of instantiation patterns, attributes or annotations.- Arity:
n > 1
1..n:
Terms of Kind INST_PATTERN, INST_NO_PATTERN, INST_POOL, INST_ADD_TO_POOL, SKOLEM_ADD_TO_POOL, INST_ATTRIBUTE
- Create Term of this Kind with:
- Create Op of this kind with:
- Arity:
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LAST_KIND
public static final Kind LAST_KIND
Marks the upper-bound of this enumeration.
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Method Detail
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values
public static Kind[] values()
Returns an array containing the constants of this enum type, in the order they are declared. This method may be used to iterate over the constants as follows:for (Kind c : Kind.values()) System.out.println(c);
- Returns:
- an array containing the constants of this enum type, in the order they are declared
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valueOf
public static Kind valueOf(java.lang.String name)
Returns the enum constant of this type with the specified name. The string must match exactly an identifier used to declare an enum constant in this type. (Extraneous whitespace characters are not permitted.)- Parameters:
name
- the name of the enum constant to be returned.- Returns:
- the enum constant with the specified name
- Throws:
java.lang.IllegalArgumentException
- if this enum type has no constant with the specified namejava.lang.NullPointerException
- if the argument is null
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fromInt
public static Kind fromInt(int value) throws CVC5ApiException
- Throws:
CVC5ApiException
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getValue
public int getValue()
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