Efficient solution of some problems in free partially commutative monoids
نویسندگان
چکیده
منابع مشابه
Efficient Solution to Some Problems in Free Partially Commutative Monoids
In theoretical computer science, and, in particular, in automata and formal language theory, questions arise concerning words and sets of words in free monoids. Results and techniques from the study of the combinatorial algebra of the free monoid have provided an “algebraic” basis for dealing with many of these questions. In recent years there has been increasing interest in properties of words...
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Let C be a finite alphabet, and C* the free monoid generated by Z. Let x, y E C* and x = uyv for U, v E C*. Then y is a factor of x. Moreover if u = 1, then y is a prefix of x, and if u = 1, then y is a suffix of x. Here 2. is the null word. One of the typical string matching problems over C* is the following: given a text string XEX* and a pattern string VEC*, decide whether or not y is a fact...
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Free partially commutative inverse monoids are investigated. Analogously to free partially commutative monoids (trace monoids), free partially commutative inverse monoids are the quotients of free inverse monoids modulo a partially defined commutation relation on the generators. A quasi linear time algorithm for the word problem is presented, more precisely, we give an O(n log(n)) algorithm for...
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Let M(A, θ) be a free partially commutative monoid. We give here a necessary and sufficient condition on a subalphabet B ⊂ A such that the right factor of a bisection M(A, θ) = M(B, θB).T be also partially commutative free. This extends strictly the (classical) elimination theory on partial commutations and allows to construct new factorizations of M(A, θ) and associated bases of LK(A, θ).
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We study a Leech homology of a locally bounded free partially commutative monoid M(E, I). Given a contravariant natural system of abelian groups F on M(E, I) we build a precubical set T (E, I) with a homological system of abelian groups F and prove that the Leech homology groups Hn(M(E, I), F ) are isomorphic to the cubical homology groups Hn(T (E, I), F ), n > 0. As a consequence we have confi...
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ژورنال
عنوان ژورنال: Information and Computation
سال: 1990
ISSN: 0890-5401
DOI: 10.1016/0890-5401(90)90010-f