abstract class PropositionalResolutionRule extends LocalResolutionRule
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Instance Constructors
- new PropositionalResolutionRule()
Abstract Value Members
-
abstract
def
canEqual(that: Any): Boolean
- Definition Classes
- Equals
- abstract def idx: SequentIndex
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abstract
def
mainFormulaSequent: Sequent[Formula]
- Attributes
- protected
- Definition Classes
- ContextRule
-
abstract
def
productArity: Int
- Definition Classes
- Product
-
abstract
def
productElement(n: Int): Any
- Definition Classes
- Product
- abstract def subProof: ResolutionProof
Concrete Value Members
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final
def
!=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
-
final
def
##(): Int
- Definition Classes
- AnyRef → Any
-
def
+(other: String): String
- Implicit
- This member is added by an implicit conversion from PropositionalResolutionRule to any2stringadd[PropositionalResolutionRule] performed by method any2stringadd in scala.Predef.
- Definition Classes
- any2stringadd
-
def
->[B](y: B): (PropositionalResolutionRule, B)
- Implicit
- This member is added by an implicit conversion from PropositionalResolutionRule to ArrowAssoc[PropositionalResolutionRule] performed by method ArrowAssoc in scala.Predef.
- Definition Classes
- ArrowAssoc
- Annotations
- @inline()
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final
def
==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
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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.toDisjunction
These assertions indicate the splitting assumptions this proof depends on.
- Definition Classes
- ResolutionProof
-
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
-
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
- PropositionalResolutionRule → SequentProof
-
def
clone(): AnyRef
- Attributes
- protected[java.lang]
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate() @throws( ... )
-
lazy val
conclusion: Sequent[Formula]
The conclusion of the rule.
The conclusion of the rule.
- Definition Classes
- ContextRule → SequentProof
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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 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
-
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: (PropositionalResolutionRule) ⇒ Boolean, msg: ⇒ Any): PropositionalResolutionRule
- Implicit
- This member is added by an implicit conversion from PropositionalResolutionRule to Ensuring[PropositionalResolutionRule] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
-
def
ensuring(cond: (PropositionalResolutionRule) ⇒ Boolean): PropositionalResolutionRule
- Implicit
- This member is added by an implicit conversion from PropositionalResolutionRule to Ensuring[PropositionalResolutionRule] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
-
def
ensuring(cond: Boolean, msg: ⇒ Any): PropositionalResolutionRule
- Implicit
- This member is added by an implicit conversion from PropositionalResolutionRule to Ensuring[PropositionalResolutionRule] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
-
def
ensuring(cond: Boolean): PropositionalResolutionRule
- Implicit
- This member is added by an implicit conversion from PropositionalResolutionRule to Ensuring[PropositionalResolutionRule] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
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final
def
eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
-
def
equals(that: Any): Boolean
- Definition Classes
- DagProof → Equals → AnyRef → Any
-
def
formatted(fmtstr: String): String
- Implicit
- This member is added by an implicit conversion from PropositionalResolutionRule to StringFormat[PropositionalResolutionRule] performed by method StringFormat in scala.Predef.
- Definition Classes
- StringFormat
- Annotations
- @inline()
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def
formulasToBeDeleted: Seq[Seq[SequentIndex]]
- Attributes
- protected
- Definition Classes
- ContextRule
-
final
def
getClass(): Class[_]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
-
val
hashCode: Int
- Definition Classes
- DagProof
-
def
immediateSubProofs: Seq[ResolutionProof]
The immediate subproofs of this rule.
The immediate subproofs of this rule.
- Definition Classes
- PropositionalResolutionRule → DagProof
-
def
introducedDefinitions: Map[HOLAtomConst, Expr]
Definitions introduced by the bottom-most inference rule.
Definitions introduced by the bottom-most inference rule.
- Definition Classes
- ResolutionProof
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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
-
def
longName: String
The name of this rule (in words).
The name of this rule (in words).
- Definition Classes
- DagProof
-
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() @HotSpotIntrinsicCandidate()
-
final
def
notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- def occConn: SequentConnector
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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
- ContextRule → SequentProof
-
def
premises: Seq[Sequent[Formula]]
The upper sequents of the rule.
The upper sequents of the rule.
- Definition Classes
- SequentProof
-
def
productIterator: Iterator[Any]
- Definition Classes
- Product
-
def
productPrefix: String
- Definition Classes
- Product
-
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
-
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
-
def
toString(): String
- Definition Classes
- DagProof → AnyRef → Any
-
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
-
final
def
wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws( ... )
-
final
def
wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @throws( ... )
-
final
def
wait(): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws( ... )
-
def
→[B](y: B): (PropositionalResolutionRule, B)
- Implicit
- This member is added by an implicit conversion from PropositionalResolutionRule to ArrowAssoc[PropositionalResolutionRule] performed by method ArrowAssoc in scala.Predef.
- Definition Classes
- ArrowAssoc
This is the API documentation for GAPT.
The main package is gapt.