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Titlebook: Word Equations and Related Topics; Second International Habib Abdulrab,Jean-Pierre Pécuchet Conference proceedings 1993 Springer-Verlag Ber

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The naming problem for left distributivity,ibe an algorithm for solving this question using conjugacy in a free group. The correctness of the algorithm is reduced to a conjecture involving some particular words. A skew version of the conjecture is established.
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Theorem proving by combinatorial optimization,wn that this problem can be formulated as a constraint satisfaction problem (CSP), whose system has a generalized covering type (we recall that a CSP consists in proving the emptiness of a domain defined by a set of diophantinc constraints, or the existence of a solution). We propose a new method -d
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Solving string equations with constant restrictions,, ..} of variables and a string equation ..... where .., .. ε (. ∪ .).. Furthermore sets .(..) ∈ ., 1 ≤ . <- ., are given which are called constant restrictions. A substitution . solves the equation s.... and satisfies the constant restrictions ..), 1 ≤ ., if σ(..) = .(..) and σ(..) . ((..)) ∪ .). f
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,LOP: Toward a new implementation of Makanin’s Algorithm,t express in a very natural way all the programming concepts needed in such an implementation..Then we describe a programming system LOP (Logic, Objects and Parallelism) aimed at integrating these paradigms.
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Unification in the combination of disjoint theories,titution unifies . if σ(.) . σ(.), i.e. σ(.), σ(.) are equivalent modulo theory ...In particular we give a unification algorithm for theories . = .. ∪ ⋯ ∪ .. which are combinations of theories with disjoint signatures, ε(..) ∩ ε(..) = Φ for . ≠ .. Our method works if for each theory .. there exists
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Solving string equations with constant restrictions,ing the decision algorithm of Makanin we obtain an algorithm which decides whether or not a given string equation has a solution satisfying the constant restrictions. Furthermore we think that we have, as a by-product, a very nice presentation of Makanin‘s algorithm.
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0302-9743 hesubsets of rank two in a freemonoid (a fast decision algorithm), and a solution of thecomplement problem in associative-commutative theories.978-3-540-56730-1978-3-540-47636-8Series ISSN 0302-9743 Series E-ISSN 1611-3349
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