class AnalyticInductionProver extends AnyRef
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Instance Constructors
- new AnalyticInductionProver(options: ProverOptions)
Value Members
- final def !=(arg0: Any): Boolean
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- final def ##: Int
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- def +(other: String): String
- Implicit
- This member is added by an implicit conversion from AnalyticInductionProver toany2stringadd[AnalyticInductionProver] performed by method any2stringadd in scala.Predef.
- Definition Classes
- any2stringadd
- def ->[B](y: B): (AnalyticInductionProver, B)
- Implicit
- This member is added by an implicit conversion from AnalyticInductionProver toArrowAssoc[AnalyticInductionProver] performed by method ArrowAssoc in scala.Predef.
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- protected[lang]
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- @throws(classOf[java.lang.CloneNotSupportedException]) @native() @IntrinsicCandidate()
- def ensuring(cond: (AnalyticInductionProver) => Boolean, msg: => Any): AnalyticInductionProver
- Implicit
- This member is added by an implicit conversion from AnalyticInductionProver toEnsuring[AnalyticInductionProver] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: (AnalyticInductionProver) => Boolean): AnalyticInductionProver
- Implicit
- This member is added by an implicit conversion from AnalyticInductionProver toEnsuring[AnalyticInductionProver] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: Boolean, msg: => Any): AnalyticInductionProver
- Implicit
- This member is added by an implicit conversion from AnalyticInductionProver toEnsuring[AnalyticInductionProver] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: Boolean): AnalyticInductionProver
- Implicit
- This member is added by an implicit conversion from AnalyticInductionProver toEnsuring[AnalyticInductionProver] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- final def eq(arg0: AnyRef): Boolean
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- def equals(arg0: AnyRef): Boolean
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- def expansionProof(sequent: Sequent[(String, Formula)])(implicit ctx: MutableContext): 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.
- final def getClass(): Class[_ <: AnyRef]
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- @native() @IntrinsicCandidate()
- def hashCode(): Int
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- def inductiveLKProof(sequent: Sequent[(String, Formula)])(implicit ctx: MutableContext): 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.
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- def isValid(sequent: Sequent[(String, Formula)])(implicit ctx: MutableContext): 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.
- def lkProof(sequent: Sequent[(String, Formula)])(implicit ctx: MutableContext): 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.
- 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 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.
- def resolutionProof(sequent: Sequent[(String, Formula)])(implicit ctx: MutableContext): 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.
- final def synchronized[T0](arg0: => T0): T0
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- def toString(): String
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- final def wait(arg0: Long, arg1: Int): Unit
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Deprecated Value Members
- def finalize(): Unit
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- protected[lang]
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- @throws(classOf[java.lang.Throwable]) @Deprecated
- Deprecated
- def formatted(fmtstr: String): String
- Implicit
- This member is added by an implicit conversion from AnalyticInductionProver toStringFormat[AnalyticInductionProver] performed by method StringFormat in scala.Predef.
- Definition Classes
- StringFormat
- Annotations
- @deprecated @inline()
- Deprecated
(Since version 2.12.16) Use
formatString.format(value)
instead ofvalue.formatted(formatString)
, or use thef""
string interpolator. In Java 15 and later,formatted
resolves to the new method in String which has reversed parameters.
- def →[B](y: B): (AnalyticInductionProver, B)
- Implicit
- This member is added by an implicit conversion from AnalyticInductionProver toArrowAssoc[AnalyticInductionProver] performed by method ArrowAssoc in scala.Predef.
- Definition Classes
- ArrowAssoc
- Annotations
- @deprecated
- Deprecated
(Since version 2.13.0) Use
->
instead. If you still wish to display it as one character, consider using a font with programming ligatures such as Fira Code.
This is the API documentation for GAPT.
The main package is gapt.