object sequentialInductionAxioms extends InductionAxioms
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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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