Package

at.logic.gapt

examples

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package examples

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  1. class AllQuantifiedConditionalAxiomHelper extends AnyRef

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    Auxiliary structure to deal with axioms of the schema: Forall variables cond1 -> cond2 -> ...

    Auxiliary structure to deal with axioms of the schema: Forall variables cond1 -> cond2 -> ... -> condn -> consequence |- ...

  2. trait ProofSequence extends AnyRef

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Value Members

  1. object BussTautology

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  2. object FactorialFunctionEqualityExampleProof extends ProofSequence

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    Proof of f(n) = g(n, 1), where f is the head recursive and g the tail recursive formulation of the factorial function

  3. object FactorialFunctionEqualityExampleProof2 extends ProofSequence

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  4. object LinearEqExampleProof extends ProofSequence

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  5. object LinearExampleProof extends ProofSequence

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  6. object PQPairs

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  7. object PigeonHolePrinciple

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  8. object SquareDiagonalExampleProof extends ProofSequence

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  9. object SquareEdges2DimExampleProof extends ProofSequence

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  10. object SquareEdgesExampleProof extends ProofSequence

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  11. object SumExampleProof extends ProofSequence

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  12. object SumOfOnesExampleProof extends ProofSequence

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  13. object SumOfOnesF2ExampleProof extends ProofSequence

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  14. object SumOfOnesFExampleProof extends ProofSequence

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    Constructs the cut-free FOL LK proof of the sequent

    Constructs the cut-free FOL LK proof of the sequent

    AUX, f(0) = 0, Forall x.f(s(x)) = f(x) + s(0) |- f(sn(0)) = sn(0) Where AUX is {Transitivity, Symmetry, Reflexity of =, Forall xy.x=y -> s(x) = s(y), f(0) = 0, Forall x.f(s(x)) = f(x) + s(0)}

  15. object UniformAssociativity3ExampleProof extends ProofSequence

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  16. val proofSequences: Seq[ProofSequence]

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