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Associative Unification and Symbolic Reasoning Modulo Associativity in Maude

We have added support for associative unification to Maude 2.7.1. Associative unification is infinitary, i.e., there are unifica- tion problems u =? v such that there is an infinite minimal set of unifiers, whereas associative-commutative unification is finitary. A unique feature of the associative unification algorithm implemented in Maude is that it is guaranteed to terminate with a finite and complete set of associative unifiers for a fairly large class of unification problems occurring in prac- tice. For any problems outside this class, the algorithm returns a finite set of unifiers together with a warning that such set may be incom- plete. This paper describes this associative unification algorithm imple- mented in Maude and also how other symbolic reasoning Maude features such as (i) variant generation; (ii) variant unification; and (iii) narrow- ing based symbolic reachability analysis have been extended to deal with associativity.

Autores: Francisco Durán / Steven Eker / Santiago Escobar / Narciso Marti-Oliet / Jose Meseguer / Carolyn Talcott / 
Palabras Clave: associativity - narrowing - Rewriting Logic - unification

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