Freezing { Termination Proofs for Classical, Context-Sensitive and Innermost Rewriting
نویسنده
چکیده
Freezing is a powerful technique for orienting equations. Here we give a new presentation of it which is suitable for an eecient automatic use. Further, it is shown how slight modiications of it can be applied to context-sensitive and innermost term rewriting. The experimental results on an extensive test series of non-trivial examples performed using a prototype implementation strongly underlines the practical relevance of freezing not only in term rewriting but also in automated theorem proving.
منابع مشابه
Innermost Termination of Context-Sensitive Rewriting
Context-sensitive rewriting is a restriction of term rewriting used to model evaluation strategies in functional programming and in programming languages like OBJ. For example, under certain conditions termination of an OBJ program is equivalent to innermost termination of the corresponding contextsensitive rewrite system [25]. To prove termination of context-sensitive rewriting, several method...
متن کاملTermination of Rewriting With Strategy Annotations
We investigate termination of rewriting computations guided by strategy annotations. We show that proofs of termination can be obtained by proving (innermost) termination of context-sensitive rewriting (CSR). Hence, we investigate how to prove innermost termination of CSR using existing methods for proving termination of CSR.
متن کاملTermination of Innermost Context-Sensitive Rewriting Using Dependency Pairs
Innermost context-sensitive rewriting has been proved useful for modeling computations of programs of algebraic languages like Maude, OBJ, etc. Furthermore, innermost termination of rewriting is often easier to prove than termination. Thus, under appropriate conditions, a useful strategy for proving termination of rewriting is trying to prove termination of innermost rewriting. This phenomenon ...
متن کاملInnermost Termination of Context-Sensitive Rewriting
Innermost context-sensitive rewriting (CSR) has been proved useful for modeling the computational behavior of programs of algebraic languages like Maude, OBJ, etc, which incorporate an innermost strategy which is used to break down the nondeterminism which is inherent to reduction relations. Furthermore, innermost termination of rewriting is often easier to prove than termination. Thus, under a...
متن کاملUsing Context-Sensitive Rewriting for Proving Innermost Termination of Rewriting
Computational systems based on reducing expressions usually have a predefined reduction strategy to break down the nondeterminism which is inherent to reduction relations. The innermost strategy corresponds to call by value or eager computation, that is, the computational mechanism of several programming languages like Maude, OBJ, etc. where the arguments of a function call are always evaluated...
متن کامل