Packages

t

gapt.formats.ivy

IvyResolutionProof

sealed trait IvyResolutionProof extends SequentProof[FOLAtom, IvyResolutionProof]

** Implementation of Ivy's Resolution Calculus *** Ivy has it's own variation of resolution which only resolves over identical literals but has an instantiation rule. It should be possible to display the proofs in prooftool, but a translation to robinson resolution is neccessary for many applications.

Source
IvyResolution.scala
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. IvyResolutionProof
  2. SequentProof
  3. DagProof
  4. Product
  5. Equals
  6. AnyRef
  7. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. Protected

Abstract Value Members

  1. abstract def canEqual(that: Any): Boolean
    Definition Classes
    Equals
  2. abstract val clause_exp: SExpression
  3. abstract def conclusion: Sequent[FOLAtom]

    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    SequentProof
  4. abstract val id: String
  5. abstract def immediateSubProofs: Seq[IvyResolutionProof]

    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    DagProof
  6. abstract def productArity: Int
    Definition Classes
    Product
  7. abstract def productElement(n: Int): Any
    Definition Classes
    Product

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 IvyResolutionProof toany2stringadd[IvyResolutionProof] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (IvyResolutionProof, B)
    Implicit
    This member is added by an implicit conversion from IvyResolutionProof toArrowAssoc[IvyResolutionProof] 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 auxFormulas: Seq[Seq[FOLAtom]]

    A list of lists containing the auxiliary formulas of the rule.

    A list of lists containing the auxiliary formulas of the rule. The first list constains the auxiliary formulas in the first premise and so on.

    Definition Classes
    SequentProof
  8. def auxIndices: Seq[Seq[SequentIndex]]

    A list of lists of SequentIndices denoting the auxiliary formula(s) of the rule.

    A list of lists of SequentIndices denoting the auxiliary formula(s) of the rule. The first list contains the auxiliary formulas in the first premise and so on.

    Definition Classes
    IvyResolutionProofSequentProof
  9. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @IntrinsicCandidate()
  10. def dagLike: DagLikeOps[IvyResolutionProof]

    Operations that view the sub-proofs as a DAG, which ignore duplicate sub-proofs, see gapt.proofs.DagProof.DagLikeOps for a list.

    Operations that view the sub-proofs as a DAG, which ignore duplicate sub-proofs, see gapt.proofs.DagProof.DagLikeOps for a list.

    Definition Classes
    DagProof
  11. def depth: Int

    Depth of the proof, which is the maximum length of a path you can take via immediateSubProofs.

    Depth of the proof, which is the maximum length of a path you can take via immediateSubProofs.

    Definition Classes
    DagProof
  12. def ensuring(cond: (IvyResolutionProof) => Boolean, msg: => Any): IvyResolutionProof
    Implicit
    This member is added by an implicit conversion from IvyResolutionProof toEnsuring[IvyResolutionProof] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  13. def ensuring(cond: (IvyResolutionProof) => Boolean): IvyResolutionProof
    Implicit
    This member is added by an implicit conversion from IvyResolutionProof toEnsuring[IvyResolutionProof] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  14. def ensuring(cond: Boolean, msg: => Any): IvyResolutionProof
    Implicit
    This member is added by an implicit conversion from IvyResolutionProof toEnsuring[IvyResolutionProof] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. def ensuring(cond: Boolean): IvyResolutionProof
    Implicit
    This member is added by an implicit conversion from IvyResolutionProof toEnsuring[IvyResolutionProof] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  16. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  17. def equals(that: Any): Boolean
    Definition Classes
    DagProof → Equals → AnyRef → Any
  18. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @IntrinsicCandidate()
  19. val hashCode: Int
    Definition Classes
    DagProof
  20. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  21. def longName: String

    The name of this rule (in words).

    The name of this rule (in words).

    Definition Classes
    DagProof
  22. def mainFormulas: Seq[FOLAtom]

    The list of main formulas of the rule.

    The list of main formulas of the rule.

    Definition Classes
    SequentProof
  23. def mainIndices: Seq[SequentIndex]

    A list of SequentIndices denoting the main formula(s) of the rule.

    A list of SequentIndices denoting the main formula(s) of the rule.

    Definition Classes
    IvyResolutionProofSequentProof
  24. def name: String

    The name of this rule (in symbols).

    The name of this rule (in symbols).

    Definition Classes
    DagProof
  25. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  26. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @IntrinsicCandidate()
  27. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @IntrinsicCandidate()
  28. def occConnectors: Seq[SequentConnector]

    A list of occurrence connectors, one for each immediate subproof.

    A list of occurrence connectors, one for each immediate subproof.

    Definition Classes
    IvyResolutionProofSequentProof
  29. def premises: Seq[Sequent[FOLAtom]]

    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  30. def productElementName(n: Int): String
    Definition Classes
    Product
  31. def productElementNames: Iterator[String]
    Definition Classes
    Product
  32. def productIterator: Iterator[Any]
    Definition Classes
    Product
  33. def productPrefix: String
    Definition Classes
    Product
  34. def stepString(subProofLabels: Map[Any, String]): String
    Attributes
    protected
    Definition Classes
    SequentProofDagProof
  35. def subProofAt(pos: List[Int]): IvyResolutionProof

    Returns the subproof at the given position: p.subProofAt(Nil) is p itself; p.subProofAt(i :: is) is the ith subproof of p.subProofAt(is).

    Returns the subproof at the given position: p.subProofAt(Nil) is p itself; p.subProofAt(i :: is) is the ith subproof of p.subProofAt(is).

    Definition Classes
    DagProof
  36. def subProofs: Set[IvyResolutionProof]

    Set of all (transitive) sub-proofs including this.

    Set of all (transitive) sub-proofs including this.

    Definition Classes
    DagProof
  37. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  38. def toString(): String
    Definition Classes
    DagProof → AnyRef → Any
  39. def treeLike: TreeLikeOps[IvyResolutionProof]

    Operations that view the sub-proofs as a tree, see gapt.proofs.DagProof.TreeLikeOps for a list.

    Operations that view the sub-proofs as a tree, see gapt.proofs.DagProof.TreeLikeOps for a list.

    Definition Classes
    DagProof
  40. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  41. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  42. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.Throwable]) @Deprecated
    Deprecated
  2. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from IvyResolutionProof toStringFormat[IvyResolutionProof] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @deprecated @inline()
    Deprecated

    (Since version 2.12.16) Use formatString.format(value) instead of value.formatted(formatString), or use the f"" string interpolator. In Java 15 and later, formatted resolves to the new method in String which has reversed parameters.

  3. def [B](y: B): (IvyResolutionProof, B)
    Implicit
    This member is added by an implicit conversion from IvyResolutionProof toArrowAssoc[IvyResolutionProof] 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.

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd fromIvyResolutionProof to any2stringadd[IvyResolutionProof]

Inherited by implicit conversion StringFormat fromIvyResolutionProof to StringFormat[IvyResolutionProof]

Inherited by implicit conversion Ensuring fromIvyResolutionProof to Ensuring[IvyResolutionProof]

Inherited by implicit conversion ArrowAssoc fromIvyResolutionProof to ArrowAssoc[IvyResolutionProof]

Ungrouped