trait Theory extends AnyRef
trait for representing signature and axioms of theories, e.g., the theory of arrays. This is used to make sure that theory symbols are unique.
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- abstract 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).
- abstract val functionPredicateMapping: Seq[(IFunction, Predicate)]
Mapping of interpreted functions to interpreted predicates, used translating input ASTs to internal ASTs (the latter only containing predicates).
- abstract val functionalPredicates: Set[Predicate]
Information which of the predicates satisfy the functionality axiom; at some internal points, such predicates can be handled more efficiently
- abstract val functions: Seq[IFunction]
Interpreted functions of the theory
- abstract def plugin: Option[Plugin]
Optionally, a plug-in implementing reasoning in this theory
- abstract val predicateMatchConfig: PredicateMatchConfig
Information how interpreted predicates should be handled for e-matching.
- abstract val predicates: Seq[Predicate]
Interpreted predicates of the theory
- abstract val totalityAxioms: Formula
Additional axioms that are included if the option
+genTotalityAxioms
is given to Princess. - abstract val triggerRelevantFunctions: Set[IFunction]
A list of functions that should be considered in automatic trigger generation
Concrete Value Members
- final def !=(arg0: Any): Boolean
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- final def ##: Int
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- final def ==(arg0: Any): Boolean
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- final def asInstanceOf[T0]: T0
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- def clone(): AnyRef
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- protected[lang]
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- @throws(classOf[java.lang.CloneNotSupportedException]) @HotSpotIntrinsicCandidate() @native()
- val dependencies: Iterable[Theory]
Optionally, other theories that this theory depends on.
Optionally, other theories that this theory depends on. Specified dependencies will be loaded before this theory, but the preprocessors of the dependencies will be called after the preprocessor of this theory.
- final def eq(arg0: AnyRef): Boolean
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- def equals(arg0: AnyRef): Boolean
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- 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.
- 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. - def extend(order: TermOrder): TermOrder
Add the symbols defined by this theory to the
order
- 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. - final def getClass(): Class[_ <: AnyRef]
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- def hashCode(): Int
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- 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
. - 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.
- final def isInstanceOf[T0]: Boolean
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- 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. - final def ne(arg0: AnyRef): Boolean
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- final def notify(): Unit
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- final def notifyAll(): Unit
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- 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
. - 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
. - 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.
- val reducerPlugin: ReducerPluginFactory
Optionally, a plugin for the reducer applied to formulas both before and during proving.
- 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. - final def synchronized[T0](arg0: => T0): T0
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- def toString(): String
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- lazy val transitiveDependencies: Iterable[Theory]
Dependencies closed under transitivity, i.e., also including the dependencies of dependencies.
- final def wait(arg0: Long, arg1: Int): Unit
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- final def wait(arg0: Long): Unit
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- final def wait(): Unit
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Deprecated Value Members
- def finalize(): Unit
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- @throws(classOf[java.lang.Throwable]) @Deprecated
- Deprecated
(Since version 9)