Articles
Induction for termination with local strategies

https://doi.org/10.1016/S1571-0661(04)00284-1Get rights and content
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Abstract

In this paper, we propose a method for specifically proving termination of rewriting with particular strategies: local strategies on operators. An inductive proof procedure is proposed, based on an explicit induction on the termination property. Given a term, the proof principle relies on alternatively applying the induction hypothesis on its subterms, by abstracting the subterms with induction variables, and narrowing the obtained terms in one step, according to the strategy. The induction relation, an F -stable ordering having the subterm property, is not given a priori, but its existence is checked along the proof, by testing satisfiability of ordering constraints.

Keywords

Rewriting
termination
local strategy on operators
rule-based languages
induction
narrowing
ordering constraints

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