Results 111 to 120 of about 157,848 (165)

On the word problem for syntactic monoids of piecewise testable languages

open access: closedSemigroup Forum, 2011
Piecewise testable languages are widely studied area in the theory of automata. We analyze the algebraic properties of these languages via their syntactic monoids. In this paper a normal form is presented for 2- and 3-piecewise testable languages and a log-asymptotic estimate is given for the number of words over these monoids.
Kamilla Kátai-Urbán   +4 more
openalex   +3 more sources

The syntactic monoid

open access: closed, 1991
Abstract In this chapter we obtain another characterization of rational languages in terms of a monoid Syn(L), called the syntactic monoid of L, associated with every L ⊆ A*. The computation of Syn(L) is then discussed, via a notion important in its own right, namely the minimal automaton of L.
John Howie
openalex   +2 more sources

ON GROUPS WHICH ARE SYNTACTIC MONOIDS OF DETERMINISTIC CONTEXT-FREE LANGUAGES

open access: closedInternational Journal of Algebra and Computation, 2004
The author shows that the class of groups which are syntactic monoids of deterministic context-free languages is closed under restricted standard wreath products with virtually free top groups. This provides an answer to a question of T. Herbst.
Claas E. Röver
openalex   +4 more sources

On scattered syntactic monoids

open access: closed, 1993
The main result of this paper is a Myhill-Nerode-like theorem for languages L with the property that the commutative closure of L, com(L), is a regular language. This problem arises in a natural way when one considers the scattered deletion operation and some other related problems.
Alexandru Mateescu
openalex   +3 more sources

Syntactic Complexity of Circular Semi-Flower Automata [PDF]

open access: yesInternational Conference on Implementation and Application of Automata, 2013
We investigate the syntactic complexity of certain types of finitely generated submonoids of a free monoid. In fact, we consider those submonoids which are accepted by circular semi-flower automata (CSFA).
S. Singh, K. V. Krishna
semanticscholar   +3 more sources

Syntactic Minimization of Nondeterministic Finite Automata

International Symposium on Mathematical Foundations of Computer Science, 2021
Nondeterministic automata may be viewed as succinct programs implementing deterministic automata, i.e. complete specifications. Converting a given deterministic automaton into a small nondeterministic one is known to be computationally very hard; in fact,
R. Myers, Henning Urbat
semanticscholar   +1 more source

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