Class/Object

ap.theories

DivZero

Related Docs: object DivZero | package theories

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class DivZero extends Theory

Theory representing the SMT-LIB semantics of division and modulo by zero. According to SMT-LIB, division is a total function, and division by zero has to be represented as a unary uninterpreted function.

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Theory, AnyRef, Any
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Instance Constructors

  1. new DivZero(name: String, consideredFunctions: Seq[(String, Sort)])

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Value Members

  1. final def !=(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  4. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  5. val axioms: Formula

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    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).

    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).

    Definition Classes
    DivZeroTheory
  6. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  7. val dependencies: Iterable[Theory]

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    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.

    Definition Classes
    Theory
  8. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  9. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  10. def evalFun(f: IFunApp): Option[ITerm]

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    Optionally, a function evaluating theory functions applied to concrete arguments, represented as constructor terms.

    Optionally, a function evaluating theory functions applied to concrete arguments, represented as constructor terms.

    Definition Classes
    Theory
  11. def evalPred(p: IAtom): Option[Boolean]

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    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
  12. def extend(order: TermOrder): TermOrder

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    Add the symbols defined by this theory to the order

    Add the symbols defined by this theory to the order

    Definition Classes
    Theory
  13. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  14. val functionPredicateMapping: IndexedSeq[(IFunction, Predicate)]

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    Mapping of interpreted functions to interpreted predicates, used translating input ASTs to internal ASTs (the latter only containing predicates).

    Mapping of interpreted functions to interpreted predicates, used translating input ASTs to internal ASTs (the latter only containing predicates).

    Definition Classes
    DivZeroTheory
  15. val functionTranslation: Map[IFunction, Predicate]

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  16. val functionalPredicates: Set[Predicate]

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    Information which of the predicates satisfy the functionality axiom; at some internal points, such predicates can be handled more efficiently

    Information which of the predicates satisfy the functionality axiom; at some internal points, such predicates can be handled more efficiently

    Definition Classes
    DivZeroTheory
  17. val functions: IndexedSeq[IFunction]

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    Interpreted functions of the theory

    Interpreted functions of the theory

    Definition Classes
    DivZeroTheory
  18. def generateDecoderData(model: Conjunction): Option[TheoryDecoderData]

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    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
  19. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  20. def hashCode(): Int

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    Definition Classes
    AnyRef → Any
  21. def iPostprocess(f: IFormula, signature: Signature): IFormula

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    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
  22. def iPreprocess(f: IFormula, signature: Signature): (IFormula, Signature)

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    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
  23. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  24. def isSoundForSat(theories: Seq[Theory], config: Theory.SatSoundnessConfig.Value): Boolean

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    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.

    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.

    Definition Classes
    DivZeroTheory
  25. val modelGenPredicates: Set[Predicate]

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    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 atom p(x), for p in this set, then the PresburgerModelFinder will ignore x when assigning concrete values to symbols.

    Definition Classes
    Theory
  26. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  27. final def notify(): Unit

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    Definition Classes
    AnyRef
  28. final def notifyAll(): Unit

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    Definition Classes
    AnyRef
  29. val plugin: None.type

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    Optionally, a plug-in implementing reasoning in this theory

    Optionally, a plug-in implementing reasoning in this theory

    Definition Classes
    DivZeroTheory
  30. def postSimplifiers: Seq[(IExpression) ⇒ IExpression]

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    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 with ap.parser.Simplifier.

    Definition Classes
    Theory
  31. def postprocess(f: Conjunction, order: TermOrder): Conjunction

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    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
  32. val predicateMatchConfig: PredicateMatchConfig

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    Information how interpreted predicates should be handled for e-matching.

    Information how interpreted predicates should be handled for e-matching.

    Definition Classes
    DivZeroTheory
  33. val predicates: Seq[Predicate]

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    Interpreted predicates of the theory

    Interpreted predicates of the theory

    Definition Classes
    DivZeroTheory
  34. def preprocess(f: Conjunction, order: TermOrder): Conjunction

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    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.

    Definition Classes
    Theory
  35. val reducerPlugin: ReducerPluginFactory

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    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
  36. val singleInstantiationPredicates: Set[Predicate]

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    When instantiating existentially quantifier formulas, EX phi, at most one instantiation is necessary provided that all predicates in phi are contained in this set.

    When instantiating existentially quantifier formulas, EX phi, at most one instantiation is necessary provided that all predicates in phi are contained in this set.

    Definition Classes
    Theory
  37. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  38. def toString(): String

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    Definition Classes
    DivZero → AnyRef → Any
  39. val totalityAxioms: Conjunction

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    Additional axioms that are included if the option +genTotalityAxioms is given to Princess.

    Additional axioms that are included if the option +genTotalityAxioms is given to Princess.

    Definition Classes
    DivZeroTheory
  40. val triggerRelevantFunctions: Set[IFunction]

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    A list of functions that should be considered in automatic trigger generation

    A list of functions that should be considered in automatic trigger generation

    Definition Classes
    DivZeroTheory
  41. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  42. final def wait(arg0: Long, arg1: Int): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  43. final def wait(arg0: Long): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from Theory

Inherited from AnyRef

Inherited from Any

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