case class Subst(subProof: ResolutionProof, substitution: Substitution) extends ResolutionProof with Product with Serializable

Substitution.

       Γ :- Δ
----------------------
substitution(Γ :- Δ)
Source
resolution.scala
Ordering
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Inherited
  1. Subst
  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 Subst(subProof: ResolutionProof, substitution: Substitution)

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

    Assertions of the proof.

    Assertions of the proof.

    Attention: this is interpreted as assertions.toNegConjunction --> conclusion.toDisjunction

    These assertions indicate the splitting assumptions this proof depends on.

    Definition Classes
    ResolutionProof
  8. def auxFormulas: Seq[Seq[Formula]]

    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
  9. 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
    SubstSequentProof
  10. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate() @throws( ... )
  11. val conclusion: Sequent[Formula]

    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    SubstSequentProof
  12. def dagLike: DagLikeOps[ResolutionProof]

    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
  13. def definitions: Map[HOLAtomConst, Expr]

    All definitions introduced by any subproof.

    All definitions introduced by any subproof.

    throws java.lang.Exception if inconsistent definitions are used

    Definition Classes
    ResolutionProof
  14. 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
  15. def ensuring(cond: (Subst) ⇒ Boolean, msg: ⇒ Any): Subst
    Implicit
    This member is added by an implicit conversion from Subst to Ensuring[Subst] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  16. def ensuring(cond: (Subst) ⇒ Boolean): Subst
    Implicit
    This member is added by an implicit conversion from Subst to Ensuring[Subst] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  17. def ensuring(cond: Boolean, msg: ⇒ Any): Subst
    Implicit
    This member is added by an implicit conversion from Subst to Ensuring[Subst] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  18. def ensuring(cond: Boolean): Subst
    Implicit
    This member is added by an implicit conversion from Subst to Ensuring[Subst] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  19. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  20. def equals(that: Any): Boolean
    Definition Classes
    DagProof → Equals → AnyRef → Any
  21. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from Subst to StringFormat[Subst] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  22. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  23. val hashCode: Int
    Definition Classes
    DagProof
  24. def immediateSubProofs: Seq[ResolutionProof]

    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    SubstDagProof
  25. def introducedDefinitions: Map[HOLAtomConst, Expr]

    Definitions introduced by the bottom-most inference rule.

    Definitions introduced by the bottom-most inference rule.

    Definition Classes
    ResolutionProof
  26. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  27. def isProof: Boolean

    Is this a proof of the empty clause with empty assertions, and consistent definitions?

    Is this a proof of the empty clause with empty assertions, and consistent definitions?

    Definition Classes
    ResolutionProof
  28. def longName: String

    The name of this rule (in words).

    The name of this rule (in words).

    Definition Classes
    DagProof
  29. def mainFormulas: Seq[Formula]

    The list of main formulas of the rule.

    The list of main formulas of the rule.

    Definition Classes
    SequentProof
  30. 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
    SubstSequentProof
  31. def name: String

    The name of this rule (in symbols).

    The name of this rule (in symbols).

    Definition Classes
    DagProof
  32. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  33. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  34. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  35. 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
    SubstSequentProof
  36. def premises: Seq[Sequent[Formula]]

    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  37. def skolemFunctions: SkolemFunctions
    Definition Classes
    ResolutionProof
  38. def stepString(subProofLabels: Map[Any, String]): String
    Attributes
    protected
    Definition Classes
    ResolutionProofSequentProofDagProof
  39. def stringifiedConclusion(implicit sig: BabelSignature): String
    Definition Classes
    ResolutionProof
  40. val subProof: ResolutionProof
  41. def subProofAt(pos: List[Int]): ResolutionProof

    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
  42. def subProofs: Set[ResolutionProof]

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

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

    Definition Classes
    DagProof
  43. val substitution: Substitution
  44. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  45. def toString(): String
    Definition Classes
    DagProof → AnyRef → Any
  46. def treeLike: TreeLikeOps[ResolutionProof]

    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
  47. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  48. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  49. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  50. def [B](y: B): (Subst, B)
    Implicit
    This member is added by an implicit conversion from Subst to ArrowAssoc[Subst] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @Deprecated @deprecated @throws( classOf[java.lang.Throwable] )
    Deprecated

    (Since version ) see corresponding Javadoc for more information.

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 Subst to any2stringadd[Subst]

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

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

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

Ungrouped