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class AnalyticInductionProver extends AnyRef

Source
AnalyticInductionProver.scala
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  1. AnalyticInductionProver
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Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Instance Constructors

  1. new AnalyticInductionProver(options: ProverOptions)

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 AnalyticInductionProver to any2stringadd[AnalyticInductionProver] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (AnalyticInductionProver, B)
    Implicit
    This member is added by an implicit conversion from AnalyticInductionProver to ArrowAssoc[AnalyticInductionProver] 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: (AnalyticInductionProver) ⇒ Boolean, msg: ⇒ Any): AnalyticInductionProver
    Implicit
    This member is added by an implicit conversion from AnalyticInductionProver to Ensuring[AnalyticInductionProver] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  9. def ensuring(cond: (AnalyticInductionProver) ⇒ Boolean): AnalyticInductionProver
    Implicit
    This member is added by an implicit conversion from AnalyticInductionProver to Ensuring[AnalyticInductionProver] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  10. def ensuring(cond: Boolean, msg: ⇒ Any): AnalyticInductionProver
    Implicit
    This member is added by an implicit conversion from AnalyticInductionProver to Ensuring[AnalyticInductionProver] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  11. def ensuring(cond: Boolean): AnalyticInductionProver
    Implicit
    This member is added by an implicit conversion from AnalyticInductionProver to Ensuring[AnalyticInductionProver] 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 expansionProof(sequent: Sequent[(String, Formula)])(implicit ctx: Context): Option[ExpansionProof]

    Tries to compute an expansion proof for a sequent by using analytic induction.

    Tries to compute an expansion proof for a sequent by using analytic induction.

    sequent

    The sequent to prove.

    ctx

    Defines inductive types etc.

    returns

    An expansion proof if the sequent is provable with analytic induction, otherwise either None or the method does not terminate.

  15. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  16. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from AnalyticInductionProver to StringFormat[AnalyticInductionProver] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  17. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  18. def hashCode(): Int
    Definition Classes
    AnyRef → Any
  19. def inductiveLKProof(sequent: Sequent[(String, Formula)])(implicit ctx: Context): Option[LKProof]

    Proves the given sequent by using induction.

    Proves the given sequent by using induction.

    sequent

    The sequent to be proven.

    ctx

    Defines the constants, types, etc.

    returns

    An inductive proof the sequent is provable with the prover's induction schemes, otherwise None or the method does not terminate.

  20. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  21. def isValid(sequent: Sequent[(String, Formula)])(implicit ctx: Context): Boolean

    Tries to prove a sequent by using analytic induction.

    Tries to prove a sequent by using analytic induction.

    sequent

    The sequent to prove.

    ctx

    Defines inductive types etc.

    returns

    true if the sequent is provable with analytic induction, otherwise either false or the method does not terminate.

  22. def lkProof(sequent: Sequent[(String, Formula)])(implicit ctx: Context): Option[LKProof]

    Tries to compute a LK proof for a sequent by using analytic induction.

    Tries to compute a LK proof for a sequent by using analytic induction.

    sequent

    The sequent to prove.

    ctx

    Defines inductive types etc.

    returns

    An LK proof if the sequent is provable with analytic induction, otherwise either None or the method does not terminate.

  23. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  24. final def notify(): Unit
    Definition Classes
    AnyRef
  25. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  26. def proveTipProblem(problem: TipProblem): Option[LKProof]

    Proves a TIP problem by using induction.

    Proves a TIP problem by using induction.

    problem

    The problem to prove

    returns

    A proof if the problem is provable with the prover's induction schemes, otherwise None or the method does not terminate.

  27. def resolutionProof(sequent: Sequent[(String, Formula)])(implicit ctx: Context): Option[ResolutionProof]

    Tries to compute a resolution proof for a sequent by using analytic induction.

    Tries to compute a resolution proof for a sequent by using analytic induction.

    sequent

    The sequent to prove.

    ctx

    Defines inductive types etc.

    returns

    A resolution proof if the sequent is provable with analytic induction, otherwise either None or the method does not terminate.

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

Inherited from AnyRef

Inherited from Any

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

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

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

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

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