case class DefIntro(subProof: ResolutionProof, idx: SequentIndex, definition: Definition, args: Seq[Expr]) extends PropositionalResolutionRule with Product with Serializable

Definition introduction.

Γ :- Δ, φ(x)
--------
Γ :- Δ, D(x)

This inference should only be used on descendants of Input inferences.

Source
resolution.scala
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. DefIntro
  2. Serializable
  3. Serializable
  4. PropositionalResolutionRule
  5. LocalResolutionRule
  6. ContextRule
  7. ResolutionProof
  8. SequentProof
  9. DagProof
  10. Product
  11. Equals
  12. AnyRef
  13. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
  1. Hide All
  2. Show All
Visibility
  1. Public
  2. All

Instance Constructors

  1. new DefIntro(subProof: ResolutionProof, idx: SequentIndex, definition: Definition, args: Seq[Expr])

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 DefIntro to any2stringadd[DefIntro] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (DefIntro, B)
    Implicit
    This member is added by an implicit conversion from DefIntro to ArrowAssoc[DefIntro] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. val args: Seq[Expr]
  7. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  8. 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
  9. def auxFormula: Formula
  10. 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
  11. 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
    PropositionalResolutionRuleSequentProof
  12. val by: Expr
  13. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  14. lazy val conclusion: Sequent[Formula]

    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    ContextRuleSequentProof
  15. def contexts: Seq[Sequent[Formula]]
    Attributes
    protected
    Definition Classes
    ContextRule
  16. 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
  17. val defAtom: Atom
  18. val defConst: HOLAtomConst
  19. val definition: Definition
  20. def definitions: Map[HOLAtomConst, Expr]

    All definitions introduced by any subproof.

    All definitions introduced by any subproof.

    Definition Classes
    ResolutionProof
    Exceptions thrown

    Exception if inconsistent definitions are used

  21. 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
  22. def ensuring(cond: (DefIntro) ⇒ Boolean, msg: ⇒ Any): DefIntro
    Implicit
    This member is added by an implicit conversion from DefIntro to Ensuring[DefIntro] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  23. def ensuring(cond: (DefIntro) ⇒ Boolean): DefIntro
    Implicit
    This member is added by an implicit conversion from DefIntro to Ensuring[DefIntro] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  24. def ensuring(cond: Boolean, msg: ⇒ Any): DefIntro
    Implicit
    This member is added by an implicit conversion from DefIntro to Ensuring[DefIntro] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  25. def ensuring(cond: Boolean): DefIntro
    Implicit
    This member is added by an implicit conversion from DefIntro to Ensuring[DefIntro] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  26. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  27. def equals(that: Any): Boolean
    Definition Classes
    DagProof → Equals → AnyRef → Any
  28. val expandedFormula: Expr
  29. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  30. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from DefIntro to StringFormat[DefIntro] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  31. def formulasToBeDeleted: Seq[Seq[SequentIndex]]
    Attributes
    protected
    Definition Classes
    ContextRule
  32. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  33. val hashCode: Int
    Definition Classes
    DagProof
  34. val idx: SequentIndex
    Definition Classes
    DefIntroPropositionalResolutionRule
  35. def immediateSubProofs: Seq[ResolutionProof]

    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    PropositionalResolutionRuleDagProof
  36. def introducedDefinitions: Map[HOLAtomConst, Expr]

    Definitions introduced by the bottom-most inference rule.

    Definitions introduced by the bottom-most inference rule.

    Definition Classes
    DefIntroResolutionProof
  37. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  38. 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
  39. def longName: String

    The name of this rule (in words).

    The name of this rule (in words).

    Definition Classes
    DagProof
  40. def mainFormulaSequent: Sequent[Formula]
    Definition Classes
    DefIntroContextRule
  41. def mainFormulas: Seq[Formula]

    The list of main formulas of the rule.

    The list of main formulas of the rule.

    Definition Classes
    SequentProof
  42. def mainIndices: Vector[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
    ContextRuleSequentProof
  43. def name: String

    The name of this rule (in symbols).

    The name of this rule (in symbols).

    Definition Classes
    DagProof
  44. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  45. final def notify(): Unit
    Definition Classes
    AnyRef
  46. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  47. 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
    ContextRuleSequentProof
  48. def premises: Seq[Sequent[Formula]]

    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  49. def skolemFunctions: SkolemFunctions
    Definition Classes
    ResolutionProof
  50. def stepString(subProofLabels: Map[Any, String]): String
    Attributes
    protected
    Definition Classes
    ResolutionProofSequentProofDagProof
  51. def stringifiedConclusion(implicit sig: BabelSignature): String
    Definition Classes
    ResolutionProof
  52. val subProof: ResolutionProof
    Definition Classes
    DefIntroPropositionalResolutionRule
  53. 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
  54. def subProofs: Set[ResolutionProof]

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

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

    Definition Classes
    DagProof
  55. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  56. def toString(): String
    Definition Classes
    DagProof → AnyRef → Any
  57. 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
  58. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  59. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  60. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  61. def [B](y: B): (DefIntro, B)
    Implicit
    This member is added by an implicit conversion from DefIntro to ArrowAssoc[DefIntro] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

Inherited from Serializable

Inherited from Serializable

Inherited from LocalResolutionRule

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 DefIntro to any2stringadd[DefIntro]

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

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

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

Ungrouped