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class ExhaustiveProver extends AnyRef

A prover that tries to construct an exhaustive proof for a given goal. The prover tries to optimise by early stopping the expansion of the proof tree if it is detected that a certain subtree can never yield a satisfiable closing constraint. There are two main modes of operation: with depthFirst, it is tried to derive a satisfiable constraint from the given problem, without aiming for exhaustiveness. Without this option, the tree is expanded depth-first until it is exhaustive (which terminates in the case of PA formulae, but not in general).

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Instance Constructors

  1. new ExhaustiveProver(settings: GoalSettings)
  2. new ExhaustiveProver(depthFirst: Boolean, settings: GoalSettings)

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  1. final def !=(arg0: Any): Boolean
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  2. final def ##: Int
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  3. final def ==(arg0: Any): Boolean
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  4. def apply(inputFor: Formula, signature: Signature): ProofTree
  5. def apply(inputFor: Formula, order: TermOrder): ProofTree
  6. final def asInstanceOf[T0]: T0
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  7. def clone(): AnyRef
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  8. final def eq(arg0: AnyRef): Boolean
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  10. final def getClass(): Class[_ <: AnyRef]
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  12. final def isInstanceOf[T0]: Boolean
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  13. def isValidConstraint(constraint: Conjunction, signature: Signature): Boolean

    A constraint is considered valid if the formula \forall universalConstants; \exists existentialConstants; constraint is valid

  14. final def ne(arg0: AnyRef): Boolean
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  15. final def notify(): Unit
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  16. final def notifyAll(): Unit
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  19. final def wait(arg0: Long, arg1: Int): Unit
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  20. final def wait(arg0: Long): Unit
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  21. final def wait(): Unit
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  1. def finalize(): Unit
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    Deprecated

    (Since version 9)

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