object proveWithPi2Cut
Constructs a proof for a given schematic Pi2-grammar if a cut formula exists
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- proveWithPi2Cut.scala
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def
apply(endSequent: Sequent[Formula], seHs: Pi2SeHs, nameOfExistentialVariable: Var = fov"yCut", nameOfUniversalVariable: Var = fov"xCut"): Option[LKProof]
Constructs a proof for a given schematic Pi2-grammar if a cut formula exists
Constructs a proof for a given schematic Pi2-grammar if a cut formula exists
- endSequent
A provable Sequent for which the method builds a proof with Pi2-cut
- seHs
The given schematic Pi2-grammar
- nameOfExistentialVariable
The user can name the existential variable of the cut formula. (Default = xCut; In case the name is already taken the method looks for a similar name)
- nameOfUniversalVariable
The user can name the universal variable of the cut formula. (Default = yCut; In case the name is already taken the method looks for a similar name)
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Optiontype that contains a proof with Pi2-cut if a Pi2-cut formula exists
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def
giveProof(cutFormulaWithoutQuantifiers: Formula, seHs: Pi2SeHs, endSequent: Sequent[Formula], nameOfExVa: Var, nameOfUnVa: Var): Option[LKProof]
The construction of the proof itself
The construction of the proof itself
- cutFormulaWithoutQuantifiers
The quantifier-free cut formula that corresponds to the schematic Pi2-grammar
- seHs
The given schematic Pi2-grammar
- endSequent
A provable Sequent for which the method builds a proof with Pi2-cut
- nameOfExVa
Name of the existential variable of the cut-formula
- nameOfUnVa
Name of the universal variable of the cut-formula
- returns
Optiontype that contains a proof with Pi2-cut
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