c

at.logic.gapt.provers.viper

SimpleInductionProofU

class SimpleInductionProofU extends SimpleInductionProof

Source
SIPs.scala
Linear Supertypes
Type Hierarchy
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Inherited
  1. SimpleInductionProofU
  2. SimpleInductionProof
  3. AnyRef
  4. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new SimpleInductionProofU(ExpSeq0: ExpansionSequent, ExpSeq1: ExpansionSequent, ExpSeq2: ExpansionSequent, t: List[FOLTerm], u: List[FOLTerm], inductionFormula: Formula = ...)

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 SimpleInductionProofU to any2stringadd[SimpleInductionProofU] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (SimpleInductionProofU, B)
    Implicit
    This member is added by an implicit conversion from SimpleInductionProofU to ArrowAssoc[SimpleInductionProofU] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. val EndSequent: Sequent[Formula]
    Definition Classes
    SimpleInductionProof
  7. val ExpSeq0: ExpansionSequent
    Definition Classes
    SimpleInductionProof
  8. val ExpSeq1: ExpansionSequent
    Definition Classes
    SimpleInductionProof
  9. val ExpSeq2: ExpansionSequent
    Definition Classes
    SimpleInductionProof
  10. def F(x1: FOLTerm, x2: FOLTerm, x3: FOLTerm): Formula
    Attributes
    protected
    Definition Classes
    SimpleInductionProof
  11. def Fprime(x1: FOLTerm, x2: FOLTerm): FOLFormula
    Attributes
    protected
    Definition Classes
    SimpleInductionProofUSimpleInductionProof
  12. val Gamma0: HOLSequent
    Definition Classes
    SimpleInductionProof
  13. val Gamma1: HOLSequent
    Definition Classes
    SimpleInductionProof
  14. val Gamma2: HOLSequent
    Definition Classes
    SimpleInductionProof
  15. val Sequent0: HOLSequent
  16. val Sequent1: Sequent[Formula]
  17. val Sequent2: Sequent[Formula]
  18. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  19. def baseProof(pi0: LKProof): LKProof
  20. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  21. def conclusionProof(pi2: LKProof): ForallLeftRule
  22. def ensuring(cond: (SimpleInductionProofU) ⇒ Boolean, msg: ⇒ Any): SimpleInductionProofU
    Implicit
    This member is added by an implicit conversion from SimpleInductionProofU to Ensuring[SimpleInductionProofU] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  23. def ensuring(cond: (SimpleInductionProofU) ⇒ Boolean): SimpleInductionProofU
    Implicit
    This member is added by an implicit conversion from SimpleInductionProofU to Ensuring[SimpleInductionProofU] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  24. def ensuring(cond: Boolean, msg: ⇒ Any): SimpleInductionProofU
    Implicit
    This member is added by an implicit conversion from SimpleInductionProofU to Ensuring[SimpleInductionProofU] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  25. def ensuring(cond: Boolean): SimpleInductionProofU
    Implicit
    This member is added by an implicit conversion from SimpleInductionProofU to Ensuring[SimpleInductionProofU] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  26. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  27. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  28. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  29. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from SimpleInductionProofU to StringFormat[SimpleInductionProofU] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  30. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  31. def hashCode(): Int
    Definition Classes
    AnyRef → Any
  32. def indFormIsQuantified: Boolean

    Returns true iff the induction formula needs to be quantified over.

    Returns true iff the induction formula needs to be quantified over.

    Definition Classes
    SimpleInductionProof
  33. val inductionFormula: Formula
    Definition Classes
    SimpleInductionProof
  34. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  35. def isSchematic: Boolean

    returns

    True if this is a schematic sip, i.e. the induction formula is unknown.

    Definition Classes
    SimpleInductionProof
  36. def isSolved: Boolean
    Definition Classes
    SimpleInductionProof
  37. def isSolved(prover: Prover): Boolean

    returns

    True if the induction formula is in fact a solution.

    Definition Classes
    SimpleInductionProof
  38. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  39. final def notify(): Unit
    Definition Classes
    AnyRef
  40. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  41. def solve(f: FOLFormula): SimpleInductionProofU

    TODO: Find a better name for this

    TODO: Find a better name for this

    f

    A FOLFormula

    returns

    This with the induction formula replaced by f

    Definition Classes
    SimpleInductionProof
  42. def stepProof(pi1: LKProof): LKProof
  43. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  44. val t: List[FOLTerm]
    Definition Classes
    SimpleInductionProof
  45. def toInstanceLKProof(n: Int, pi0: LKProof, pi1: LKProof, pi2: LKProof, rename: Boolean): LKProof

    Computes the nth instance proof, with user-supplied proofs π0, π1, π2.

    Computes the nth instance proof, with user-supplied proofs π0, π1, π2.

    n

    A natural number

    pi0

    Proof of the induction base.

    pi1

    Proof of the induction step.

    pi2

    Proof of the conclusion.

    returns

    The nth instance of this sip.

    Definition Classes
    SimpleInductionProofUSimpleInductionProof
  46. def toInstanceLKProof(n: Int, prover: Prover, rename: Boolean): LKProof

    Computes the nth instance proof,

    Computes the nth instance proof,

    n

    A natural number

    prover

    The prover used to generate π0 ,…,π2.

    returns

    The nth instance of this sip.

    Definition Classes
    SimpleInductionProof
  47. def toInstanceLKProof(n: Int, rename: Boolean): LKProof

    Computes the nth instance proof.

    Computes the nth instance proof. Uses prover9 to compute the subproofs.

    n

    A natural number

    returns

    The nth instance of this sip.

    Definition Classes
    SimpleInductionProof
  48. def toLKProof: LKProof

    Converts this into an LKProof, calling prover9 to provide π0, π1, π2.

    Converts this into an LKProof, calling prover9 to provide π0, π1, π2.

    returns

    The LKProof represented by this object

    Definition Classes
    SimpleInductionProof
  49. def toLKProof(prover: Prover): LKProof

    prover

    The prover used to generate π0 ,…,π2.

    Definition Classes
    SimpleInductionProof
  50. def toLKProof(pi0: LKProof, pi1: LKProof, pi2: LKProof): LKProof

    Converts this into an LKProof, with user-supplied proofs π0, π1, π2.

    Converts this into an LKProof, with user-supplied proofs π0, π1, π2.

    pi0

    Proof of the induction base.

    pi1

    Proof of the induction step.

    pi2

    Proof of the conclusion.

    returns

    The LKProof represented by this object.

    Definition Classes
    SimpleInductionProof
  51. def toSipGrammar: SipGrammar

    Extracts a SIP grammar from the SIP according to the paper.

    Extracts a SIP grammar from the SIP according to the paper.

    returns

    The grammar corresponding to the sip.

  52. def toString(): String
    Definition Classes
    AnyRef → Any
  53. val u: List[FOLTerm]
    Definition Classes
    SimpleInductionProof
  54. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  55. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  56. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  57. def [B](y: B): (SimpleInductionProofU, B)
    Implicit
    This member is added by an implicit conversion from SimpleInductionProofU to ArrowAssoc[SimpleInductionProofU] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

Inherited from SimpleInductionProof

Inherited from AnyRef

Inherited from Any

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

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

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

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

Ungrouped