Class/Object

at.logic.gapt.proofs.resolution

Paramodulation

Related Docs: object Paramodulation | package resolution

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case class Paramodulation(subProof1: ResolutionProof, equation: SequentIndex, subProof2: ResolutionProof, literal: SequentIndex, replacementContext: Abs, leftToRight: Boolean) extends ResolutionProof with Product with Serializable

Paramodulation.

We allow rewriting any number of positions inside a single literal.

    (subProof1)            (subProof2)
  premise1 \/ t=s      premise2 \/ literal[t]
  -------------------------------------------
       premise1 \/ premise2 \/ literal[s]

Source
resolution.scala
Linear Supertypes
Type Hierarchy
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Inherited
  1. Paramodulation
  2. Serializable
  3. Serializable
  4. ResolutionProof
  5. SequentProof
  6. DagProof
  7. Product
  8. Equals
  9. AnyRef
  10. 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 Paramodulation(subProof1: ResolutionProof, equation: SequentIndex, subProof2: ResolutionProof, literal: SequentIndex, replacementContext: Abs, leftToRight: Boolean)

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Value Members

  1. final def !=(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any
  3. def +(other: String): String

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    Implicit information
    This member is added by an implicit conversion from Paramodulation to any2stringadd[Paramodulation] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (Paramodulation, B)

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    Implicit information
    This member is added by an implicit conversion from Paramodulation to ArrowAssoc[Paramodulation] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  6. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  7. val auxFormula: HOLAtom

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  8. val auxFormula_: LambdaExpression

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  9. def auxFormulas: Seq[Seq[HOLAtom]]

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    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
  10. def auxIndices: Seq[Seq[SequentIndex]]

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    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
    ParamodulationSequentProof
  11. val by: LambdaExpression

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  12. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  13. val conclusion: Sequent[HOLAtom]

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    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    ParamodulationSequentProof
  14. def dagLike: DagLikeOps[ResolutionProof]

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

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

    Definition Classes
    DagProof
  15. def depth: Int

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    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
  16. def ensuring(cond: (Paramodulation) ⇒ Boolean, msg: ⇒ Any): Paramodulation

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    Implicit information
    This member is added by an implicit conversion from Paramodulation to Ensuring[Paramodulation] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  17. def ensuring(cond: (Paramodulation) ⇒ Boolean): Paramodulation

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    Implicit information
    This member is added by an implicit conversion from Paramodulation to Ensuring[Paramodulation] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  18. def ensuring(cond: Boolean, msg: ⇒ Any): Paramodulation

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    Implicit information
    This member is added by an implicit conversion from Paramodulation to Ensuring[Paramodulation] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  19. def ensuring(cond: Boolean): Paramodulation

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    Implicit information
    This member is added by an implicit conversion from Paramodulation to Ensuring[Paramodulation] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  20. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  21. def equals(that: Any): Boolean

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    Definition Classes
    DagProof → Equals → AnyRef → Any
  22. val equation: SequentIndex

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  23. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  24. def formatted(fmtstr: String): String

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    Implicit information
    This member is added by an implicit conversion from Paramodulation to StringFormat[Paramodulation] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  25. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  26. val hashCode: Int

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    Definition Classes
    DagProof → AnyRef → Any
  27. def immediateSubProofs: Seq[ResolutionProof]

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    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    ParamodulationDagProof
  28. val inputClauses: Set[HOLClause]

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    Definition Classes
    ParamodulationResolutionProof
  29. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  30. val leftToRight: Boolean

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  31. val literal: SequentIndex

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  32. def longName: String

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    The name of this rule (in words).

    The name of this rule (in words).

    Definition Classes
    DagProof
  33. def mainFormulas: Seq[HOLAtom]

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    The list of main formulas of the rule.

    The list of main formulas of the rule.

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

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    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
    ParamodulationSequentProof
  35. def name: String

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    The name of this rule (in symbols).

    The name of this rule (in symbols).

    Definition Classes
    DagProof
  36. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  37. final def notify(): Unit

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    Definition Classes
    AnyRef
  38. final def notifyAll(): Unit

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    Definition Classes
    AnyRef
  39. def occConnectors: Seq[OccConnector[HOLAtom]]

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

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

    Definition Classes
    ParamodulationSequentProof
  40. def premises: Seq[Sequent[HOLAtom]]

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    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  41. val replacementContext: Abs

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  42. val rewrittenAtom: HOLAtom

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  43. def stepString(subProofLabels: Map[Any, String]): String

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    Attributes
    protected
    Definition Classes
    SequentProofDagProof
  44. val subProof1: ResolutionProof

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  45. val subProof2: ResolutionProof

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  46. def subProofs: Set[ResolutionProof]

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

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

    Definition Classes
    DagProof
  47. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  48. def toString(): String

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    Definition Classes
    DagProof → AnyRef → Any
  49. def treeLike: TreeLikeOps[ResolutionProof]

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

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

    Definition Classes
    DagProof
  50. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  51. final def wait(arg0: Long, arg1: Int): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  52. final def wait(arg0: Long): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  53. val what: LambdaExpression

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  54. def [B](y: B): (Paramodulation, B)

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    Implicit information
    This member is added by an implicit conversion from Paramodulation to ArrowAssoc[Paramodulation] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

Inherited from Serializable

Inherited from Serializable

Inherited from ResolutionProof

Inherited from DagProof[ResolutionProof]

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

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

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

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

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

Ungrouped