Trait

at.logic.gapt.proofs.resolution

InitialClause

Related Doc: package resolution

Permalink

trait InitialClause extends ResolutionProof

Initial clause of a resolution proof.

This also includes some initial clauses which arise during proof transformations, e.g. ReflexivityClause or TautologyClause.

Clauses that come from the input CNF we're refuting are stored as InputClause.

Source
resolution.scala
Linear Supertypes
Known Subclasses
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. InitialClause
  2. ResolutionProof
  3. SequentProof
  4. DagProof
  5. Product
  6. Equals
  7. AnyRef
  8. 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

Abstract Value Members

  1. abstract def canEqual(that: Any): Boolean

    Permalink
    Definition Classes
    Equals
  2. abstract def conclusion: Sequent[HOLAtom]

    Permalink

    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    SequentProof
  3. abstract def inputClauses: Set[HOLClause]

    Permalink
    Definition Classes
    ResolutionProof
  4. abstract def productArity: Int

    Permalink
    Definition Classes
    Product
  5. abstract def productElement(n: Int): Any

    Permalink
    Definition Classes
    Product

Concrete Value Members

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

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

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

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

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

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

    Permalink
    Definition Classes
    Any
  7. def auxFormulas: Seq[Seq[HOLAtom]]

    Permalink

    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[Nothing]

    Permalink

    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
    InitialClauseSequentProof
  9. def clone(): AnyRef

    Permalink
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  10. def dagLike: DagLikeOps[ResolutionProof]

    Permalink

    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
  11. def depth: Int

    Permalink

    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: (InitialClause) ⇒ Boolean, msg: ⇒ Any): InitialClause

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

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

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

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

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

    Permalink
    Definition Classes
    DagProof → Equals → AnyRef → Any
  18. def finalize(): Unit

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

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

    Permalink
    Definition Classes
    AnyRef → Any
  21. val hashCode: Int

    Permalink
    Definition Classes
    DagProof → AnyRef → Any
  22. def immediateSubProofs: Seq[Nothing]

    Permalink

    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    InitialClauseDagProof
  23. final def isInstanceOf[T0]: Boolean

    Permalink
    Definition Classes
    Any
  24. def longName: String

    Permalink

    The name of this rule (in words).

    The name of this rule (in words).

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

    Permalink

    The list of main formulas of the rule.

    The list of main formulas of the rule.

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

    Permalink

    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
    InitialClauseSequentProof
  27. def name: String

    Permalink

    The name of this rule (in symbols).

    The name of this rule (in symbols).

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

    Permalink
    Definition Classes
    AnyRef
  29. final def notify(): Unit

    Permalink
    Definition Classes
    AnyRef
  30. final def notifyAll(): Unit

    Permalink
    Definition Classes
    AnyRef
  31. def occConnectors: Seq[Nothing]

    Permalink

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

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

    Definition Classes
    InitialClauseSequentProof
  32. def premises: Seq[Sequent[HOLAtom]]

    Permalink

    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  33. def productIterator: Iterator[Any]

    Permalink
    Definition Classes
    Product
  34. def productPrefix: String

    Permalink
    Definition Classes
    Product
  35. def stepString(subProofLabels: Map[Any, String]): String

    Permalink
    Attributes
    protected
    Definition Classes
    SequentProofDagProof
  36. def subProofs: Set[ResolutionProof]

    Permalink

    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

    Permalink
    Definition Classes
    AnyRef
  38. def toString(): String

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

    Permalink

    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
  40. final def wait(): Unit

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

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

    Permalink
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  43. def [B](y: B): (InitialClause, B)

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

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 InitialClause to any2stringadd[InitialClause]

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

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

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

Ungrouped