object WeakeningContractionMacroRule extends ConvenienceConstructor
This macro rule simulates multiple weakenings and contractions in both cedents.
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- final def LKRuleCreationException(text: String): LKRuleCreationException
Create an LKRuleCreationException with a message starting with "Cannot create longName: ..."
Create an LKRuleCreationException with a message starting with "Cannot create longName: ..."
- text
The rest of the message.
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- def apply(p: LKProof, targetSequent: HOLSequent, strict: Boolean = true): LKProof
- p
An LKProof.
- targetSequent
The proposed end sequent.
- strict
If true, will require that the end sequent of p contains no formula that doesn't appear at least once in targetSequent.
- returns
p with its end sequent modified to targetSequent by means of weakening and contraction.
- def apply(p: LKProof, antMap: Map[Formula, Int], sucMap: Map[Formula, Int], strict: Boolean): LKProof
- p
An LKProof.
- antMap
Map of type Formula => Int that expresses “f should occur n times in the antecedent”.
- sucMap
Map of type Formula => Int that expresses “f should occur n times in the succedent”.
- strict
If true: requires that for f -> n in antMap or sucMap, if f occurs in the root of s1, then n > 0.
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- def findAndValidate(premise: HOLSequent)(antIndicesFormulas: Seq[IndexOrFormula], sucIndicesFormulas: Seq[IndexOrFormula]): (Seq[Int], Seq[Int])
Combines findIndicesOrFormulasInPremise and validateIndices.
Combines findIndicesOrFormulasInPremise and validateIndices. That is, it will return a pair of lists of indices and throw an exception if either list contains a -1.
- premise
The sequent in question.
- antIndicesFormulas
The list of indices or formulas in the antecedent.
- sucIndicesFormulas
The list of indices or formulas in the succedent.
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- def findIndicesOrFormulasInPremise(premise: HOLSequent)(antIndicesFormulas: Seq[IndexOrFormula], sucIndicesFormulas: Seq[IndexOrFormula]): (Seq[Formula], Seq[Int], Seq[Formula], Seq[Int])
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- def validateIndices(premise: HOLSequent)(antFormulas: Seq[Formula], antIndices: Seq[Int], sucFormulas: Seq[Formula], sucIndices: Seq[Int]): Unit
Throws an exception if the output of findFormulasInPremise contains any -1 entries.
Throws an exception if the output of findFormulasInPremise contains any -1 entries.
- premise
The sequent in question.
- antFormulas
The list of formulas in the antecedent.
- antIndices
The list of indices corresponding to antFormulas.
- sucFormulas
The list of formulas in the succedent.
- sucIndices
The list indices corresponding to sucFormulas.
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- def withSequentConnector(p: LKProof, targetSequent: HOLSequent, strict: Boolean = true): (LKProof, SequentConnector)
- p
An LKProof.
- targetSequent
The proposed end sequent.
- strict
If true, will require that the end sequent of p contains no formula that doesn't appear at least once in targetSequent.
- returns
p with its end sequent modified to targetSequent by means of weakening and contraction and an SequentConnector.
- def withSequentConnector(p: LKProof, antMap: Map[Formula, Int], sucMap: Map[Formula, Int], strict: Boolean): (LKProof, SequentConnector)
- p
An LKProof.
- antMap
Map of type Formula => Int that expresses “f should occur n times in the antecedent”.
- sucMap
Map of type Formula => Int that expresses “f should occur n times in the succedent”.
- strict
If true: requires that for f -> n in antMap or sucMap, if f occurs in the root of s1, then n > 0.
- returns
A proof and an SequentConnector connecting its end sequent to the end sequent of p.
This is the API documentation for GAPT.
The main package is gapt.