Packages

trait Prover extends AnyRef

A prover that is able to refute HOL sequents/formulas (or subsets of HOL, like propositional logic).

TODO: exceptions to indicate that a formula is not supported (e.g. for propositional provers).

Implementors may want to override isValid(seq) to avoid parsing proofs.

Source
provers.scala
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  1. Prover
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  1. by any2stringadd
  2. by StringFormat
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Abstract Value Members

  1. abstract def getLKProof(seq: HOLSequent): Option[LKProof]

    seq

    The sequent that should be proved.

    returns

    An LK-Proof of the sequent, or None if not successful.

  2. abstract def startIncrementalSession(): IncrementalProvingSession

    Starts an incremental proving session.

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from Prover to any2stringadd[Prover] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (Prover, B)
    Implicit
    This member is added by an implicit conversion from Prover to ArrowAssoc[Prover] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  7. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  8. def ensuring(cond: (Prover) ⇒ Boolean, msg: ⇒ Any): Prover
    Implicit
    This member is added by an implicit conversion from Prover to Ensuring[Prover] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  9. def ensuring(cond: (Prover) ⇒ Boolean): Prover
    Implicit
    This member is added by an implicit conversion from Prover to Ensuring[Prover] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  10. def ensuring(cond: Boolean, msg: ⇒ Any): Prover
    Implicit
    This member is added by an implicit conversion from Prover to Ensuring[Prover] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  11. def ensuring(cond: Boolean): Prover
    Implicit
    This member is added by an implicit conversion from Prover to Ensuring[Prover] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  12. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  13. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  14. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  15. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from Prover to StringFormat[Prover] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  16. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  17. def getEpsilonProof(formula: HOLFormula): Option[EpsilonProof]
  18. def getEpsilonProof(seq: HOLSequent): Option[EpsilonProof]
  19. def getExpansionProof(seq: HOLSequent): Option[ExpansionProof]
  20. def getExpansionProof(formula: HOLFormula): Option[ExpansionProof]
  21. def getLKProof(formula: HOLFormula): Option[LKProof]

    formula

    The formula that should be proved.

    returns

    An LK-Proof of :- formula, or None if not successful.

  22. def hashCode(): Int
    Definition Classes
    AnyRef → Any
  23. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  24. def isUnsat(cnf: Iterable[HOLClause]): Boolean

    Checks whether a set of clauses is unsatisfiable.

  25. def isUnsat(formula: HOLFormula): Boolean

    Checks whether a formula is unsatisfiable.

  26. def isValid(seq: HOLSequent): Boolean

    seq

    The sequent whose validity should be checked.

    returns

    True if the formula is valid.

  27. def isValid(formula: HOLFormula): Boolean

    formula

    The formula whose validity should be checked.

    returns

    True if the formula is valid.

  28. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  29. final def notify(): Unit
    Definition Classes
    AnyRef
  30. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  31. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  32. def toString(): String
    Definition Classes
    AnyRef → Any
  33. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  34. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  35. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  36. def [B](y: B): (Prover, B)
    Implicit
    This member is added by an implicit conversion from Prover to ArrowAssoc[Prover] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd from Prover to any2stringadd[Prover]

Inherited by implicit conversion StringFormat from Prover to StringFormat[Prover]

Inherited by implicit conversion Ensuring from Prover to Ensuring[Prover]

Inherited by implicit conversion ArrowAssoc from Prover to ArrowAssoc[Prover]

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