class ADT extends SMTLinearisableTheory
Theory solver for algebraic data-types.
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Instance Constructors
- new ADT(sortNames: Seq[String], ctorSignatures: Seq[(String, CtorSignature)], measure: ADT.TermMeasure.Value = ADT.TermMeasure.RelDepth, overrideDeps: Option[Seq[Theory]] = None)
Value Members
- final def !=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def ##: Int
- Definition Classes
- AnyRef → Any
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- def SMTDeclarationSideEffects: Seq[Theory]
A list of (other) theories that are implicitly declared as a side-effect of declaring this theory.
A list of (other) theories that are implicitly declared as a side-effect of declaring this theory. We assume that theories can implicitly define some of their dependencies, but not vice versa.
- Definition Classes
- SMTLinearisableTheory
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- val axioms: Formula
Axioms defining the theory; such axioms are simply added as formulae to the problem to be proven, and thus handled using the standard reasoning techniques (including e-matching).
- val cardinalities: Seq[Option[IdealInt]]
The number of elements per sort, or
None
for infinite sorts. - def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @HotSpotIntrinsicCandidate() @native()
- val constructorPreds: IndexedSeq[Predicate]
- val constructors: IndexedSeq[MonoSortedIFunction]
The constructors of the ADT
- val ctorId2PerSortId: IndexedSeq[Int]
- Attributes
- protected[ap]
- val ctorIdPreds: IndexedSeq[Predicate]
- val ctorIds: IndexedSeq[MonoSortedIFunction]
Function symbols representing the index of the head symbol of a constructor term
- def ctorIdsPerSort: IndexedSeq[IndexedSeq[Int]]
List the constructors belonging to each sort; the constructors are identified with the position of a constructor in the sequence
ctorSignatures
. - def ctorTermSize(f: ITerm): Option[Int]
Compute the size (number of constructor occurrences) of a constructor term; return
None
if parts of the term are symbolic, and the size cannot be determined. - val dependencies: Iterable[Theory]
Optionally, other theories that this theory depends on.
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef → Any
- def evalFun(f: IFunApp): Option[ITerm]
Optionally, a function evaluating theory functions applied to concrete arguments, represented as constructor terms.
- def evalPred(p: IAtom): Option[Boolean]
Optionally, a function evaluating theory predicates applied to concrete arguments, represented as constructor terms.
Optionally, a function evaluating theory predicates applied to concrete arguments, represented as constructor terms.
- Definition Classes
- Theory
- def evaluatingSimplifier(t: IExpression): IExpression
A simplification function that applies the methods
evalFun
andevalPred
to some given expression (but not recursively).A simplification function that applies the methods
evalFun
andevalPred
to some given expression (but not recursively). This is used in theTheory.postSimplifiers
methods.- Definition Classes
- Theory
- def extend(order: TermOrder): TermOrder
Add the symbols defined by this theory to the
order
Add the symbols defined by this theory to the
order
- Definition Classes
- Theory
- def fun2SMTString(f: IFunction): Option[String]
Translate a function belonging to this theory to an SMT-LIB identifier.
Translate a function belonging to this theory to an SMT-LIB identifier.
- Definition Classes
- SMTLinearisableTheory
- val functionPredicateMapping: Seq[(IFunction, Predicate)]
Mapping of interpreted functions to interpreted predicates, used translating input ASTs to internal ASTs (the latter only containing predicates).
- val functionTranslation: Map[IFunction, Predicate]
- val functionalPredicates: Set[Predicate]
Information which of the predicates satisfy the functionality axiom; at some internal points, such predicates can be handled more efficiently
- val functions: Seq[IFunction]
Interpreted functions of the theory
- def generateDecoderData(model: Conjunction): Option[TheoryDecoderData]
If this theory defines any
Theory.Decoder
, which can translate model data into some theory-specific representation, this function can be overridden to pre-compute required data from a model.If this theory defines any
Theory.Decoder
, which can translate model data into some theory-specific representation, this function can be overridden to pre-compute required data from a model.- Definition Classes
- Theory
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @HotSpotIntrinsicCandidate() @native()
- def getCtorPerSort(sortNum: Int, ctorNum: Int): MonoSortedIFunction
Get the constructor number
ctorNum
of sortsortNum
. - def hasCtor(t: ITerm, id: Int): IFormula
Query the constructor type of a term; the given
id
is the position of a constructor in the sequencectorSignatures
. - def hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @HotSpotIntrinsicCandidate() @native()
- def iPostprocess(f: IFormula, signature: Signature): IFormula
Optionally, a post-processor that is applied to formulas output by the prover, for instance to interpolants or the result of quantifier elimination.
Optionally, a post-processor that is applied to formulas output by the prover, for instance to interpolants or the result of quantifier elimination. This method will be applied to the formula after calling
Internal2Inputabsy
.- Definition Classes
- Theory
- def iPreprocess(f: IFormula, signature: Signature): (IFormula, Signature)
Optionally, a pre-processor that is applied to formulas over this theory, prior to sending the formula to a prover.
Optionally, a pre-processor that is applied to formulas over this theory, prior to sending the formula to a prover. This method will be applied very early in the translation process.
- Definition Classes
- Theory
- val isEnum: IndexedSeq[Boolean]
Enum sorts, i.e., sorts with only nullary constructors.
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- lazy val isRecursive: IndexedSeq[Boolean]
Recursive sorts, i.e., sorts that can appear (directly or indirectly) as sort of subterms of its own terms.
- def isSoundForSat(theories: Seq[Theory], config: Theory.SatSoundnessConfig.Value): Boolean
Check whether we can tell that the given combination of theories is sound for checking satisfiability of a problem, i.e., if proof construction ends up in a dead end, can it be concluded that a problem is satisfiable.
- val modelGenPredicates: Set[Predicate]
Optionally, a set of predicates used by the theory to tell the
PresburgerModelFinder
about terms that will be handled exclusively by this theory.Optionally, a set of predicates used by the theory to tell the
PresburgerModelFinder
about terms that will be handled exclusively by this theory. If a proof goal in model generation mode contains an atomp(x)
, forp
in this set, then thePresburgerModelFinder
will ignorex
when assigning concrete values to symbols.- Definition Classes
- Theory
- final def ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- final def notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @HotSpotIntrinsicCandidate() @native()
- final def notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @HotSpotIntrinsicCandidate() @native()
- lazy val parikhSizeConstraints: IndexedSeq[Conjunction]
- def plugin: Option[Plugin]
Optionally, a plug-in implementing reasoning in this theory
- def postSimplifiers: Seq[(IExpression) => IExpression]
Optionally, simplifiers that are applied to formulas output by the prover, for instance to interpolants or the result of quantifier.
Optionally, simplifiers that are applied to formulas output by the prover, for instance to interpolants or the result of quantifier. Such simplifiers are invoked by
ap.parser.Simplifier
. By default, this list will only include theevaluatingSimplifier
.- Definition Classes
- Theory
- def postprocess(f: Conjunction, order: TermOrder): Conjunction
Optionally, a post-processor that is applied to formulas output by the prover, for instance to interpolants or the result of quantifier elimination.
Optionally, a post-processor that is applied to formulas output by the prover, for instance to interpolants or the result of quantifier elimination. This method will be applied to the raw formulas, before calling
Internal2Inputabsy
.- Definition Classes
- Theory
- def pred2SMTString(p: Predicate): Option[String]
Translate a predicate belonging to this theory to an SMT-LIB identifier.
Translate a predicate belonging to this theory to an SMT-LIB identifier.
- Definition Classes
- SMTLinearisableTheory
- val predicateMatchConfig: PredicateMatchConfig
Information how interpreted predicates should be handled for e-matching.
- val predicates: Seq[Predicate]
Interpreted predicates of the theory
- def preprocess(f: Conjunction, order: TermOrder): Conjunction
Optionally, a pre-processor that is applied to formulas over this theory, prior to sending the formula to a prover.
- def printSMTDeclaration: Unit
Print an SMT-LIB declaration of this theory; do not output anything if the theory does not need to be declared.
Print an SMT-LIB declaration of this theory; do not output anything if the theory does not need to be declared.
- Definition Classes
- ADT → SMTLinearisableTheory
- val reducerPlugin: ReducerPluginFactory
Optionally, a plugin for the reducer applied to formulas both before and during proving.
Optionally, a plugin for the reducer applied to formulas both before and during proving.
- Definition Classes
- Theory
- def rewriteADTFormula(f: Conjunction, order: TermOrder): Conjunction
Rewrite a formula prior to solving; e.g., add selector and tester constraints
- val selectorPreds: IndexedSeq[Seq[Predicate]]
- val selectors: IndexedSeq[Seq[MonoSortedIFunction]]
The selectors of the ADT
- val singleInstantiationPredicates: Set[Predicate]
When instantiating existentially quantifier formulas,
EX phi
, at most one instantiation is necessary provided that all predicates inphi
are contained in this set.When instantiating existentially quantifier formulas,
EX phi
, at most one instantiation is necessary provided that all predicates inphi
are contained in this set.- Definition Classes
- Theory
- lazy val sizeLowerBound: IndexedSeq[IdealInt]
- def sort2SMTType(s: Sort): Option[SMTType]
Translate a sort belonging to this theory to an SMT type.
Translate a sort belonging to this theory to an SMT type.
- Definition Classes
- SMTLinearisableTheory
- def sortOfCtor(ctorNum: Int): Int
The sort
sorts(n)
belonging to the constructorconstructors(ctorNum)
. - lazy val sortSCCs: IndexedSeq[Seq[Int]]
The strongly connected components among the ADTs sorts.
- val sorts: IndexedSeq[ADTProxySort]
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- val termDepth: IndexedSeq[MonoSortedIFunction]
Function symbols representing (relative) depth of constructor terms.
Function symbols representing (relative) depth of constructor terms. The symbols are only available for
measure == ADT.TermMeasure.RelDepth
- val termDepthPreds: IndexedSeq[Predicate]
- val termSize: IndexedSeq[MonoSortedIFunction]
Function symbols representing absolute size of constructor terms.
Function symbols representing absolute size of constructor terms. The symbols are only available for
measure == ADT.TermMeasure.Size
- val termSizePreds: IndexedSeq[Predicate]
- def toString(): String
- Definition Classes
- ADT → AnyRef → Any
- val totalityAxioms: Conjunction
Additional axioms that are included if the option
+genTotalityAxioms
is given to Princess. - lazy val transitiveDependencies: Iterable[Theory]
Dependencies closed under transitivity, i.e., also including the dependencies of dependencies.
Dependencies closed under transitivity, i.e., also including the dependencies of dependencies.
- Definition Classes
- Theory
- val triggerRelevantFunctions: Set[IFunction]
A list of functions that should be considered in automatic trigger generation
- lazy val uniqueTermSize: IndexedSeq[Option[IdealInt]]
- final def wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException]) @native()
- final def wait(): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
- val witnesses: Seq[ITerm]
- object SortNum
Extractor to recognise sorts belonging to this ADT.
Deprecated Value Members
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable]) @Deprecated
- Deprecated
(Since version 9)