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at.logic.gapt.provers.viper

sequentialInductionAxioms

object sequentialInductionAxioms extends InductionAxioms

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  1. type ThrowsError[T] = Either[String, T]
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    InductionAxioms

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  1. final def !=(arg0: Any): Boolean
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  4. def apply(f: HOLFormula, vs: List[Var])(implicit ctx: Context): ThrowsError[List[HOLFormula]]

    Computes a sequence of induction axioms for the given formula and variables.

    Computes a sequence of induction axioms for the given formula and variables.

    f

    The formula for which the induction axioms are generated.

    vs

    The variables on which the induction is carried out.

    ctx

    The context defining types, constants, etc.

    returns

    Failure if the one of the given variables is not of inductive type. Otherwise a list of induction axioms of the form: ∀A∀{X < x}( IC(x,c1) ∧ ... ∧ IC(x,cl) -> ∀x∀{X > x}∀{X'}F ), where the input variables are X the input formula is of the form F' = ∀{X U X'}F FV(F') = A x in X {X < x} and {X > x} are subsets of X containing all variables with index smaller/greater than the index of x.

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    sequentialInductionAxiomsInductionAxioms
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Inherited from InductionAxioms

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