ACID-unification is NEXPTIME-decidable
Identifieur interne : 000727 ( PascalFrancis/Checkpoint ); précédent : 000726; suivant : 000728ACID-unification is NEXPTIME-decidable
Auteurs : Siva Anantharaman [France] ; Paliath Narendran [États-Unis] ; Michael Rusinowitch [France]Source :
- Lecture notes in computer science [ 0302-9743 ] ; 2003.
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Abstract
We consider the unification problem for the equational theory AC(U)ID obtained by adjoining a binary '*' which is distributive over an associative-commutative idempotent operator '+', possibly admitting a unit element U. We formulate the problem as a particular class of set constraints, and propose a method for solving it by using the dag automata introduced by W. Charatonik, that we enrich with labels for our purposes. AC(U)ID-unification is thus shown to be in NEXPTIME.
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<front><div type="abstract" xml:lang="en">We consider the unification problem for the equational theory AC(U)ID obtained by adjoining a binary '*' which is distributive over an associative-commutative idempotent operator '+', possibly admitting a unit element U. We formulate the problem as a particular class of set constraints, and propose a method for solving it by using the dag automata introduced by W. Charatonik, that we enrich with labels for our purposes. AC(U)ID-unification is thus shown to be in NEXPTIME.</div>
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