Packages

c

gapt.proofs.sketch

SketchAxiom

case class SketchAxiom(axiom: FOLClause) extends RefutationSketch with Product with Serializable

Axiom in a refutation sketch.

The clause axiom occurs as a clause in the CNF of the end-sequent we're proving.

axiom

Clause of the CNF.

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

Instance Constructors

  1. new SketchAxiom(axiom: FOLClause)

    axiom

    Clause of the CNF.

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 SketchAxiom toany2stringadd[SketchAxiom] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (SketchAxiom, B)
    Implicit
    This member is added by an implicit conversion from SketchAxiom toArrowAssoc[SketchAxiom] 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[Nothing]]

    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
    RefutationSketchSequentProof
  9. val axiom: FOLClause
  10. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @IntrinsicCandidate()
  11. def conclusion: FOLClause

    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    SketchAxiomSequentProof
  12. def dagLike: DagLikeOps[RefutationSketch]

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

    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    SketchAxiomDagProof
  23. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  24. def longName: String

    The name of this rule (in words).

    The name of this rule (in words).

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

    The list of main formulas of the rule.

    The list of main formulas of the rule.

    Definition Classes
    SequentProof
  26. def mainIndices: Seq[Nothing]

    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
    RefutationSketchSequentProof
  27. def name: String

    The name of this rule (in symbols).

    The name of this rule (in symbols).

    Definition Classes
    DagProof
  28. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  29. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @IntrinsicCandidate()
  30. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @IntrinsicCandidate()
  31. 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
    RefutationSketchSequentProof
  32. def premises: Seq[Sequent[FOLAtom]]

    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  33. def productElementNames: Iterator[String]
    Definition Classes
    Product
  34. def stepString(subProofLabels: Map[Any, String]): String
    Attributes
    protected
    Definition Classes
    SequentProofDagProof
  35. def subProofAt(pos: List[Int]): RefutationSketch

    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[RefutationSketch]

    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[RefutationSketch]

    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 SketchAxiom toStringFormat[SketchAxiom] 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): (SketchAxiom, B)
    Implicit
    This member is added by an implicit conversion from SketchAxiom toArrowAssoc[SketchAxiom] 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 Serializable

Inherited from RefutationSketch

Inherited from DagProof[RefutationSketch]

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd fromSketchAxiom to any2stringadd[SketchAxiom]

Inherited by implicit conversion StringFormat fromSketchAxiom to StringFormat[SketchAxiom]

Inherited by implicit conversion Ensuring fromSketchAxiom to Ensuring[SketchAxiom]

Inherited by implicit conversion ArrowAssoc fromSketchAxiom to ArrowAssoc[SketchAxiom]

Ungrouped