Packages

t

gapt.proofs

SequentProof

trait SequentProof[+Formula, This <: SequentProof[Formula, This]] extends DagProof[This]

Self Type
This
Source
SequentProof.scala
Linear Supertypes
DagProof[This], Product, Equals, AnyRef, Any
Known Subclasses
Flip, InitialClause, Instantiate, IvyResolutionProof, NewSymbol, Paramodulation, Propositional, Resolution, ContextRule, OpenAssumption, LKProof, AndLeftRule, AndRightRule, BinaryLKProof, BottomAxiom, CommonRule, ContractionLeftRule, ContractionRightRule, ContractionRule, ConversionLeftRule, ConversionRightRule, ConversionRule, CutRule, EqualityLeftRule, EqualityRightRule, EqualityRule, ExistsLeftRule, ExistsRightRule, ExistsSkLeftRule, ForallLeftRule, ForallRightRule, ForallSkRightRule, ImpLeftRule, ImpRightRule, InductionRule, InitialSequent, LogicalAxiom, NegLeftRule, NegRightRule, OrLeftRule, OrRightRule, ProofLink, ReflexivityAxiom, SkolemQuantifierRule, StrongQuantifierRule, TopAxiom, UnaryLKProof, WeakQuantifierRule, WeakeningLeftRule, WeakeningRightRule, AndElim1Rule, AndElim2Rule, AndIntroRule, BinaryNDProof, BottomElimRule, CommonRule, ContractionRule, DefinitionRule, EqualityElimRule, EqualityIntroRule, ExcludedMiddleRule, ExistsElimRule, ExistsIntroRule, ForallElimRule, ForallIntroRule, ImpElimRule, ImpIntroRule, InductionRule, InitialSequent, LogicalAxiom, NDProof, NegElimRule, NegIntroRule, OrElimRule, OrIntro1Rule, OrIntro2Rule, TernaryNDProof, TheoryAxiom, TopIntroRule, UnaryNDProof, WeakeningRule, AllL, AllR, AndL, AndR1, AndR2, AvatarComponent, AvatarContradiction, AvatarSplit, BottomR, DefIntro, Defn, ExL, ExR, Factor, Flip, ImpL1, ImpL2, ImpR, InitialClause, Input, LocalResolutionRule, NegL, NegR, OrL1, OrL2, OrR, Paramod, PropositionalResolutionRule, Refl, Resolution, ResolutionProof, SkolemQuantResolutionRule, Subst, Taut, TopL, WeakQuantResolutionRule, RefutationSketch, SketchAxiom, SketchComponentElim, SketchComponentIntro, SketchInference, SketchSplitCombine
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. SequentProof
  2. DagProof
  3. Product
  4. Equals
  5. AnyRef
  6. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
  1. Hide All
  2. Show All
Visibility
  1. Public
  2. Protected

Abstract Value Members

  1. abstract 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.

  2. abstract def canEqual(that: Any): Boolean
    Definition Classes
    Equals
  3. abstract def conclusion: Sequent[Formula]

    The conclusion of the rule.

  4. abstract def immediateSubProofs: Seq[This]

    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    DagProof
  5. abstract def mainIndices: Seq[SequentIndex]

    A list of SequentIndices denoting the main formula(s) of the rule.

  6. abstract def occConnectors: Seq[SequentConnector]

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

  7. abstract def productArity: Int
    Definition Classes
    Product
  8. abstract def productElement(n: Int): Any
    Definition Classes
    Product

Concrete 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 SequentProof[Formula, This] toany2stringadd[SequentProof[Formula, This]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (SequentProof[Formula, This], B)
    Implicit
    This member is added by an implicit conversion from SequentProof[Formula, This] toArrowAssoc[SequentProof[Formula, This]] 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[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.

  8. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @IntrinsicCandidate()
  9. def dagLike: DagLikeOps[This]

    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
  10. 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
  11. def ensuring(cond: (SequentProof[Formula, This]) => Boolean, msg: => Any): SequentProof[Formula, This]
    Implicit
    This member is added by an implicit conversion from SequentProof[Formula, This] toEnsuring[SequentProof[Formula, This]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  12. def ensuring(cond: (SequentProof[Formula, This]) => Boolean): SequentProof[Formula, This]
    Implicit
    This member is added by an implicit conversion from SequentProof[Formula, This] toEnsuring[SequentProof[Formula, This]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  13. def ensuring(cond: Boolean, msg: => Any): SequentProof[Formula, This]
    Implicit
    This member is added by an implicit conversion from SequentProof[Formula, This] toEnsuring[SequentProof[Formula, This]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  14. def ensuring(cond: Boolean): SequentProof[Formula, This]
    Implicit
    This member is added by an implicit conversion from SequentProof[Formula, This] toEnsuring[SequentProof[Formula, This]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  16. def equals(that: Any): Boolean
    Definition Classes
    DagProof → Equals → AnyRef → Any
  17. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @IntrinsicCandidate()
  18. val hashCode: Int
    Definition Classes
    DagProof
  19. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  20. def longName: String

    The name of this rule (in words).

    The name of this rule (in words).

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

    The list of main formulas of the rule.

  22. def name: String

    The name of this rule (in symbols).

    The name of this rule (in symbols).

    Definition Classes
    DagProof
  23. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  24. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @IntrinsicCandidate()
  25. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @IntrinsicCandidate()
  26. def premises: Seq[Sequent[Formula]]

    The upper sequents of the rule.

  27. def productElementName(n: Int): String
    Definition Classes
    Product
  28. def productElementNames: Iterator[String]
    Definition Classes
    Product
  29. def productIterator: Iterator[Any]
    Definition Classes
    Product
  30. def productPrefix: String
    Definition Classes
    Product
  31. def stepString(subProofLabels: Map[Any, String]): String
    Attributes
    protected
    Definition Classes
    SequentProof → DagProof
  32. def subProofAt(pos: List[Int]): This

    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
  33. def subProofs: Set[This]

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

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

    Definition Classes
    DagProof
  34. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  35. def toString(): String
    Definition Classes
    DagProof → AnyRef → Any
  36. def treeLike: TreeLikeOps[This]

    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
  37. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  38. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  39. 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 SequentProof[Formula, This] toStringFormat[SequentProof[Formula, This]] 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): (SequentProof[Formula, This], B)
    Implicit
    This member is added by an implicit conversion from SequentProof[Formula, This] toArrowAssoc[SequentProof[Formula, This]] 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 DagProof[This]

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd fromSequentProof[Formula, This] to any2stringadd[SequentProof[Formula, This]]

Inherited by implicit conversion StringFormat fromSequentProof[Formula, This] to StringFormat[SequentProof[Formula, This]]

Inherited by implicit conversion Ensuring fromSequentProof[Formula, This] to Ensuring[SequentProof[Formula, This]]

Inherited by implicit conversion ArrowAssoc fromSequentProof[Formula, This] to ArrowAssoc[SequentProof[Formula, This]]

Ungrouped