Solving *-problems modulo Distributivity by a Reduction to AC1-unification
نویسندگان
چکیده
منابع مشابه
Solving *-Problems Modulo Distributivity by a Reduction to AC1-Unification
(Received) We show that uniication modulo both-sided distributivity of the symbol on + can be reduced to AC1-uniication for all uniication problems which do not involve the + operator. Moreover, in this case, we can describe \almost all" solutions in a nite way, although there are in general innnitely many minimal solutions for such problems.
متن کاملUnification Modulo ACU I Plus Homomorphisms/Distributivity
E-unification problems are central in automated deduction. In this paper, we consider theories that are extensions of the well-known ACI or ACUI , obtained by adding finitely many homomorphism symbols, or a symbol ‘∗’ that distributes over the ACUIsymbol denoted ‘+’. We first show that when we adjoin a set of commuting homomorphisms to ACUI , unification is undecidable. We then consider the ACU...
متن کاملA Partial Solution for D-Unification Based on a Reduction to AC1-Unification
We show that deciding uniication modulo both-sided dis-tributivity of a symbol over a symbol + can be reduced to AC1-uniication for all uniication problems which do not involve the + operator. Moreover, we can describe \almost all" solutions in a nite way, although there are in general innnitely many minimal solutions for such problems. As a consequence,-problems appear as a good candidate for ...
متن کاملOn Unification Modulo One-Sided Distributivity: Algorithms, Variants and Asymmetry
An algorithm for unification modulo one-sided distributivity is an early result by Tidén and Arnborg. More recently this theory has been of interest in cryptographic protocol analysis due to the fact that many cryptographic operators satisfy this property. Unfortunately the algorithm presented in the paper, although correct, has recently been shown not to be polynomial time bounded as claimed. ...
متن کاملOn the Complexity of the Tiden-Arnborg Algorithm for Unification modulo One-Sided Distributivity
Equational unification is central to automated deduction and its applications in areas such as symbolic protocol analysis. In particular, the unification problem for the theory AC (“Associativity-Commutativity”) and its extensions ACI (“AC plus Idempotence”) and ACUI (“ACI with Unit element”) have been studied in great detail in the past. Distributivity (of one binary operator over another) has...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 1993
ISSN: 0747-7171
DOI: 10.1006/jsco.1993.1060