Variant Narrowing and Equational Unification
نویسندگان
چکیده
منابع مشابه
Variant Narrowing and Equational Unification
Narrowing is a well-known complete procedure for equational E-unification when E can be decomposed as a union E = ∆ ] B with B a set of axioms for which a finitary unification algorithm exists, and ∆ a set of confluent, terminating, and B-coherent rewrite rules. However, when B 6= ∅, effective narrowing strategies such as basic narrowing easily fail to be complete and cannot be used. This poses...
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Basic narrowing is a restricted form of narrowing which constrains narrowing steps to a set of unblocked (or basic) positions. In this work, we study the modularity of termination of basic narrowing in hierarchical combinations of TRSs, which provides new algorithmic criteria to prove termination of basic narrowing. Basic narrowing has a number of important applications including equational uni...
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Automated reasoning modulo an equational theory E is a fundamental technique in many applications. If E can be split as a disjoint union R ∪ Ax in such a way that R is a set of rewrite rules that are confluent, terminating, sort-decreasing, and coherent modulo a set of equational axioms Ax, it is well-known that narrowing with R modulo Ax provides a complete E-unification algorithm. However, na...
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If a set of equations E∪Ax is such that E is confluent, terminating, and coherent modulo Ax, narrowing with E modulo Ax provides a complete E∪Ax-unification algorithm. However, except for the hopelessly inefficient case of full narrowing, nothing seems to be known about effective narrowing strategies in the general modulo case beyond the quite depressing observation that basic narrowing is inco...
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ژورنال
عنوان ژورنال: Electronic Notes in Theoretical Computer Science
سال: 2009
ISSN: 1571-0661
DOI: 10.1016/j.entcs.2009.05.015