Trait/Object

ap.theories

MulTheory

Related Docs: object MulTheory | package theories

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trait MulTheory extends Theory

Trait for theories providing general, non-linear multiplication.

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Theory, AnyRef, Any
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Type Members

  1. class RichMulTerm extends AnyRef

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Abstract Value Members

  1. abstract 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
    Theory
  2. abstract val functionPredicateMapping: Seq[(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
    Theory
  3. abstract 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
    Theory
  4. abstract val functions: Seq[IFunction]

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    Interpreted functions of the theory

    Interpreted functions of the theory

    Definition Classes
    Theory
  5. abstract val mul: IFunction

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    Symbol representing proper (non-linear) multiplication

  6. abstract def plugin: Option[Plugin]

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    Optionally, a plug-in implementing reasoning in this theory

    Optionally, a plug-in implementing reasoning in this theory

    Definition Classes
    Theory
  7. abstract 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
    Theory
  8. abstract val predicates: Seq[Predicate]

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    Interpreted predicates of the theory

    Interpreted predicates of the theory

    Definition Classes
    Theory
  9. abstract val totalityAxioms: Formula

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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
    Theory
  10. abstract 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
    Theory

Concrete 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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    Any
  5. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  6. def convert(expr: IFormula): IFormula

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    Convert the given expression to this multiplication theory

  7. def convert(expr: ITerm): ITerm

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    Convert the given expression to this multiplication theory

  8. def convert(expr: IExpression): IExpression

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    Convert the given expression to this multiplication theory

  9. implicit def convert2RichMulTerm(term: ITerm): RichMulTerm

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  10. 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
  11. def eDiv(numTerm: ITerm, denomTerm: ITerm): ITerm

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    Euclidian division

  12. def eDivWithSpecialZero(num: ITerm, denom: ITerm): ITerm

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    Euclidian division, assuming the SMT-LIB semantics for division by zero.

  13. def eMod(numTerm: ITerm, denomTerm: ITerm): ITerm

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    Euclidian remainder

  14. def eModWithSpecialZero(num: ITerm, denom: ITerm): ITerm

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    Euclidian remaining, assuming the SMT-LIB semantics for remainder by zero.

  15. final def eq(arg0: AnyRef): Boolean

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

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    Definition Classes
    AnyRef → Any
  17. 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
  18. 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
  19. 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
  20. def fDiv(numTerm: ITerm, denomTerm: ITerm): ITerm

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    Floor division

  21. def fMod(numTerm: ITerm, denomTerm: ITerm): ITerm

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    Floor remainder

  22. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  23. 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
  24. final def getClass(): Class[_]

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

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    Definition Classes
    AnyRef → Any
  26. 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
  27. 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
  28. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  29. 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
    Theory
  30. 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
  31. def mult(t1: ITerm, t2: ITerm): ITerm

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    Multiply two terms, using the mul function if necessary; if any of the two terms is constant, normal Presburger multiplication will be used.

    Multiply two terms, using the mul function if necessary; if any of the two terms is constant, normal Presburger multiplication will be used.

  32. def multSimplify(t1: ITerm, t2: ITerm): ITerm

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    Multiply two terms, using the mul function if necessary; if any of the two terms is constant, normal Presburger multiplication will be used, and simple terms will directly be simplified.

    Multiply two terms, using the mul function if necessary; if any of the two terms is constant, normal Presburger multiplication will be used, and simple terms will directly be simplified.

  33. final def ne(arg0: AnyRef): Boolean

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

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

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    Definition Classes
    AnyRef
  36. 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
  37. 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
  38. def pow(basis: ITerm, expTerm: ITerm): ITerm

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    Exponentiation, with non-negative exponent

  39. 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
  40. 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
  41. 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
  42. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  43. def tDiv(numTerm: ITerm, denomTerm: ITerm): ITerm

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    Truncation division

  44. def tMod(numTerm: ITerm, denomTerm: ITerm): ITerm

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    Truncation remainder

  45. def toString(): String

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    Definition Classes
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  46. final def wait(): Unit

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    @throws( ... )
  47. final def wait(arg0: Long, arg1: Int): Unit

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    @throws( ... )
  48. final def wait(arg0: Long): Unit

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    @throws( ... )

Inherited from Theory

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