Simple termination of rewrite systems

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چکیده

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Simple Termination of Rewrite Systems

In this paper we investigate the concept of simple termination. A term rewriting system (TRS for short) is called simply terminating if its termination can be proved by means of a simplification order. We propose a new definition of simplification order and we investigate the properties of the resulting class of simply terminating systems.

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Termination of Non-simple Rewrite Systems

Rewriting is a computational process in which one term is derived from another by replacing a subterm with another subterm in accordance with a set of rules. If such a set of rules (rewrite system) has the property that no derivation can continue indefinitely, it is said to be terminating. Showing termination is an important component of theorem proving and of great interest in programming lang...

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Termination of Non-simple Rewrite Systems by Charles

Rewriting is a computational process in which one term is derived from another by replacing a subterm with another subterm in accordance with a set of rules. If such a set of rules rewrite system has the property that no derivation can continue indeenitely, it is said to be terminating. Showing termination is an important component of theorem proving and of great interest in programming languag...

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Proving Termination of Higher-order Rewrite Systems

This paper deals with termination proofs for Higher-Order Rewrite Systems (HRSs), introduced in [Nip9l, Nip93]. This formalism combines the computational aspects of term rewriting and simply typed lambda calculus. Our result is a proof technique for the termination of a HRS, similar to the proof technique "Termination by interpretation in a well-founded monotone algebra" described in [Zan93]. T...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 1997

ISSN: 0304-3975

DOI: 10.1016/s0304-3975(96)00172-7