AC-superposition with constraints: No AC-unifiers needed
Identifieur interne : 00CD56 ( Main/Exploration ); précédent : 00CD55; suivant : 00CD57AC-superposition with constraints: No AC-unifiers needed
Auteurs : Robert Nieuwenhuis [Espagne] ; Albert Rubio [Espagne]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: We prove the completeness of (basic) deduction strategies with constrained clauses modulo associativity and commutativity (AC). Here each inference generates one single conclusion with an additional equality s=AC t in its constraint (instead of one conclusion for each minimal AC-unifier, i.e. exponentially many). Furthermore, computing AC-unifiers is not needed at all. A clause C〚 T〛 is redundant if the constraint T is not AC-unifiable. If C is the empty clause this has to be decided to know whether C〚 T 〛 denotes an inconsistency. In all other cases any sound method to detect unsatisfiable constraints can be used.
Url:
DOI: 10.1007/3-540-58156-1_40
Affiliations:
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