Termination of Order-Sorted Rewriting
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Auteurs : I. GnaedigSource :
Abstract
In this paper, the problem of termination of rewriting in order-sorted algebras is addressed for the first time. Our goal is to perform termination proofs of programs for executable specification languages like \(OBJ3\). An extension of Lexicographic Path Ordering is proposed, that gives a termination proof for order-sorted rewrite systems, that would not terminate in the unsorted case. We mention also, that this extension provides a termination tool for unsorted terminating systems, that usual orderings cannot handle. This paper is an extended abstract of the CRIN report n. 91-R-108.
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<front><div type="abstract" xml:lang="en" wicri:score="1707">In this paper, the problem of termination of rewriting in order-sorted algebras is addressed for the first time. Our goal is to perform termination proofs of programs for executable specification languages like \(OBJ3\). An extension of Lexicographic Path Ordering is proposed, that gives a termination proof for order-sorted rewrite systems, that would not terminate in the unsorted case. We mention also, that this extension provides a termination tool for unsorted terminating systems, that usual orderings cannot handle. This paper is an extended abstract of the CRIN report n. 91-R-108.</div>
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<BibTex type="inproceedings"><ref>gnaedig92b</ref>
<crinnumber>92-R-199</crinnumber>
<category>3</category>
<equipe>PROTHEO</equipe>
<author><e>Gnaedig, I.</e>
</author>
<title>Termination of Order-Sorted Rewriting</title>
<booktitle>{Proceedings Third International Conference Algebraic and Logic Programming, Volterra (Italy)}</booktitle>
<year>1992</year>
<editor>H. Kirchner and G. Levi</editor>
<volume>632</volume>
<series>Lecture Notes in Computer Science</series>
<pages>37-52</pages>
<month>sep</month>
<publisher>Springer Verlag</publisher>
<abstract>In this paper, the problem of termination of rewriting in order-sorted algebras is addressed for the first time. Our goal is to perform termination proofs of programs for executable specification languages like \(OBJ3\). An extension of Lexicographic Path Ordering is proposed, that gives a termination proof for order-sorted rewrite systems, that would not terminate in the unsorted case. We mention also, that this extension provides a termination tool for unsorted terminating systems, that usual orderings cannot handle. This paper is an extended abstract of the CRIN report n. 91-R-108.</abstract>
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