case class Paramod(subProof1: ResolutionProof, eqIdx: SequentIndex, leftToRight: Boolean, subProof2: ResolutionProof, auxIdx: SequentIndex, context: Expr) extends LocalResolutionRule with Product with Serializable
Paramodulation.
Γ :- Δ, t=s Π :- Λ, l[t]
----------------------------
Γ, Π :- Δ, Λ, l[s]- Source
- resolution.scala
- Alphabetic
- By Inheritance
- Paramod
- Serializable
- LocalResolutionRule
- ContextRule
- ResolutionProof
- SequentProof
- DagProof
- Product
- Equals
- AnyRef
- Any
- by any2stringadd
- by StringFormat
- by Ensuring
- by ArrowAssoc
- Hide All
- Show All
- Public
- Protected
Instance Constructors
- new Paramod(subProof1: ResolutionProof, eqIdx: SequentIndex, leftToRight: Boolean, subProof2: ResolutionProof, auxIdx: SequentIndex, context: Expr)
Value Members
- final def !=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def ##: Int
- Definition Classes
- AnyRef → Any
- def +(other: String): String
- def ->[B](y: B): (Paramod, B)
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- val assertions: HOLClause
Assertions of the proof.
Assertions of the proof.
Attention: this is interpreted as
assertions.toNegConjunction --> conclusion.toDisjunctionThese assertions indicate the splitting assumptions this proof depends on.
- Definition Classes
- ResolutionProof
- def auxFormula: Formula
- 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
- val auxIdx: SequentIndex
- 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
- Paramod → SequentProof
- def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native() @IntrinsicCandidate()
- lazy val conclusion: Sequent[Formula]
The conclusion of the rule.
The conclusion of the rule.
- Definition Classes
- ContextRule → SequentProof
- val context: Expr
- def contexts: Seq[Sequent[Formula]]
- Attributes
- protected
- Definition Classes
- ContextRule
- def dagLike: DagLikeOps[ResolutionProof]
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
- 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
- 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
- def ensuring(cond: (Paramod) => Boolean, msg: => Any): Paramod
- def ensuring(cond: (Paramod) => Boolean): Paramod
- def ensuring(cond: Boolean, msg: => Any): Paramod
- def ensuring(cond: Boolean): Paramod
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- val eqIdx: SequentIndex
- def equals(that: Any): Boolean
- Definition Classes
- DagProof → Equals → AnyRef → Any
- def formulasToBeDeleted: Seq[Seq[SequentIndex]]
- Attributes
- protected
- Definition Classes
- ContextRule
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @IntrinsicCandidate()
- val hashCode: Int
- Definition Classes
- DagProof
- def immediateSubProofs: Seq[ResolutionProof]
The immediate subproofs of this rule.
- def introducedDefinitions: Map[HOLAtomConst, Expr]
Definitions introduced by the bottom-most inference rule.
Definitions introduced by the bottom-most inference rule.
- Definition Classes
- ResolutionProof
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- 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
- val leftToRight: Boolean
- def longName: String
The name of this rule (in words).
The name of this rule (in words).
- Definition Classes
- DagProof
- def mainFormulaSequent: Sequent[Formula]
- Definition Classes
- Paramod → ContextRule
- def mainFormulas: Seq[Formula]
The list of main formulas of the rule.
The list of main formulas of the rule.
- Definition Classes
- SequentProof
- 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
- ContextRule → SequentProof
- def name: String
The name of this rule (in symbols).
The name of this rule (in symbols).
- Definition Classes
- DagProof
- final def ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- final def notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @IntrinsicCandidate()
- final def notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @IntrinsicCandidate()
- def occConnectors: IndexedSeq[SequentConnector]
A list of occurrence connectors, one for each immediate subproof.
A list of occurrence connectors, one for each immediate subproof.
- Definition Classes
- ContextRule → SequentProof
- def premises: Seq[Sequent[Formula]]
The upper sequents of the rule.
The upper sequents of the rule.
- Definition Classes
- SequentProof
- def productElementNames: Iterator[String]
- Definition Classes
- Product
- val rewrittenAuxFormula: Formula
- val s: Expr
- def skolemFunctions(implicit ctx: Context): SkolemFunctions
- Definition Classes
- ResolutionProof
- def skolemSymbols: Set[Const]
- Definition Classes
- ResolutionProof
- def stepString(subProofLabels: Map[Any, String]): String
- Attributes
- protected
- Definition Classes
- ResolutionProof → SequentProof → DagProof
- def stringifiedConclusion(implicit sig: BabelSignature): String
- Definition Classes
- ResolutionProof
- val subProof1: ResolutionProof
- val subProof2: ResolutionProof
- 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
- def subProofs: Set[ResolutionProof]
Set of all (transitive) sub-proofs including this.
Set of all (transitive) sub-proofs including this.
- Definition Classes
- DagProof
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- val t: Expr
- def toString(): String
- Definition Classes
- DagProof → AnyRef → Any
- def treeLike: TreeLikeOps[ResolutionProof]
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
- final def wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException]) @native()
- final def wait(): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
Deprecated Value Members
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable]) @Deprecated
- Deprecated
- def formatted(fmtstr: String): String
- Implicit
- This member is added by an implicit conversion from Paramod toStringFormat[Paramod] performed by method StringFormat in scala.Predef.
- Definition Classes
- StringFormat
- Annotations
- @deprecated @inline()
- Deprecated
(Since version 2.12.16) Use
formatString.format(value)instead ofvalue.formatted(formatString), or use thef""string interpolator. In Java 15 and later,formattedresolves to the new method in String which has reversed parameters.
- def →[B](y: B): (Paramod, B)
- Implicit
- This member is added by an implicit conversion from Paramod toArrowAssoc[Paramod] 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.
This is the API documentation for GAPT.
The main package is gapt.