class AnalyticInductionProver extends AnyRef
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- new AnalyticInductionProver(options: ProverOptions)
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final
def
!=(arg0: Any): Boolean
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final
def
##(): Int
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def
+(other: String): String
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- This member is added by an implicit conversion from AnalyticInductionProver to any2stringadd[AnalyticInductionProver] performed by method any2stringadd in scala.Predef.
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def
->[B](y: B): (AnalyticInductionProver, B)
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- This member is added by an implicit conversion from AnalyticInductionProver to ArrowAssoc[AnalyticInductionProver] performed by method ArrowAssoc in scala.Predef.
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final
def
==(arg0: Any): Boolean
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final
def
asInstanceOf[T0]: T0
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def
clone(): AnyRef
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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.
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def
ensuring(cond: (AnalyticInductionProver) ⇒ Boolean): AnalyticInductionProver
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- This member is added by an implicit conversion from AnalyticInductionProver to Ensuring[AnalyticInductionProver] performed by method Ensuring in scala.Predef.
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- Ensuring
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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
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def
ensuring(cond: Boolean): AnalyticInductionProver
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- This member is added by an implicit conversion from AnalyticInductionProver to Ensuring[AnalyticInductionProver] performed by method Ensuring in scala.Predef.
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final
def
eq(arg0: AnyRef): Boolean
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def
equals(arg0: Any): Boolean
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def
expansionProof(sequent: Sequent[(String, HOLFormula)], label: String)(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.
- label
The label of the formula for which induction axioms are added.
- 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.
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def
finalize(): Unit
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def
formatted(fmtstr: String): String
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- This member is added by an implicit conversion from AnalyticInductionProver to StringFormat[AnalyticInductionProver] performed by method StringFormat in scala.Predef.
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final
def
getClass(): Class[_]
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def
hashCode(): Int
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final
def
isInstanceOf[T0]: Boolean
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def
isValid(sequent: Sequent[(String, HOLFormula)], label: String)(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.
- label
The label of the formula for which induction axioms are added.
- ctx
Defines inductive types etc.
- returns
true if the sequent is provable with analytic induction, otherwise either false or the method does not terminate.
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def
lkProof(sequent: Sequent[(String, HOLFormula)], label: String)(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.
- label
The label of the formula for which induction axioms are added.
- 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.
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def
lkProof(sequent: Sequent[(String, HOLFormula)], label: String, variables: List[Var])(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.
- label
The label of the formula for which induction axioms are added.
- variables
The variables for which induction axioms are added.
- 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.
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final
def
ne(arg0: AnyRef): Boolean
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final
def
notify(): Unit
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final
def
notifyAll(): Unit
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def
resolutionProof(sequent: Sequent[(String, HOLFormula)], label: String)(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.
- label
The label of the formula for which induction axioms are added.
- 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.
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final
def
synchronized[T0](arg0: ⇒ T0): T0
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def
toString(): String
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final
def
wait(): Unit
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final
def
wait(arg0: Long, arg1: Int): Unit
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final
def
wait(arg0: Long): Unit
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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