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at.logic.gapt.examples

SquareEdgesExampleProof

object SquareEdgesExampleProof extends ProofSequence

Functions to construct cut-free FOL LK proofs of the sequents

P(0,0), ∀x,y. P(x,y) → P(s(x),y), ∀x,y. P(x,y) → P(x,s(y)) :- P(sn(0),sn(0))

where n is an Integer parameter >= 0.

The proofs constructed here go along the edges of P, i.e. first all X-steps are performed, then all Y-steps are performed

Source
ProofSequences.scala
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  1. final def !=(arg0: Any): Boolean
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  3. final def ==(arg0: Any): Boolean
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  4. def apply(n: Int): LKProof

    n

    An integer >= 0.

    returns

    A proof of P(0,0), ∀x,y. P(x,y) → P(s(x),y), ∀x,y. P(x,y) → P(x,s(y)) :- P(sn(0),sn(0))

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    SquareEdgesExampleProofProofSequence
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