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object AnalyticInductionProver

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  4. def apply(axioms: AxiomFactory, prover: ResolutionProver): AnalyticInductionProver

    Creates a new analytic induction prover.

    Creates a new analytic induction prover.

    axioms

    The axiom factories used by the prover.

    prover

    The internal prover that is to be used for proof search.

    returns

    A new analytic induction prover that uses the provided objects for proof search.

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  16. def singleInduction(sequent: Sequent[(String, Formula)], variable: Var)(implicit ctx: MutableContext): LKProof

    Tries to prove the given sequent by using a single induction on the specified variable.

    Tries to prove the given sequent by using a single induction on the specified variable.

    sequent

    A sequent of the form Γ, :- ∀x.A

    variable

    An eigenvariable α for the sequent Γ, :- ∀x.A

    ctx

    The context which defines the inductive types, etc.

    returns

    If the sequent is provable with at most one induction on α then a proof which uses a single induction on the formula A[x/α] and variable α is returned, otherwise the method does either not terminate or throws an exception.

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