Displaying similar documents to “On the equivalence of linear conjunctive grammars and trellis automata”

On the equivalence of linear conjunctive grammars and trellis automata

Alexander Okhotin (2004)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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This paper establishes computational equivalence of two seemingly unrelated concepts: linear conjunctive grammars and trellis automata. Trellis automata, also studied under the name of one-way real-time cellular automata, have been known since early 1980s as a purely abstract model of parallel computers, while linear conjunctive grammars, introduced a few years ago, are linear context-free grammars extended with an explicit intersection operation. Their equivalence implies the equivalence...

CD-systems of stateless deterministic R(1)-automata governed by an external pushdown store

Benedek Nagy, Friedrich Otto (2011)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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We study cooperating distributed systems (CD-systems) of stateless deterministic restarting automata with window size 1 that are equipped with an external pushdown store. In this way we obtain an automata-theoretical characterization for the class of word languages that are linearizations of context-free trace languages.

Similarity relations and cover automata

Jean-Marc Champarnaud, Franck Guingne, Georges Hansel (2010)

RAIRO - Theoretical Informatics and Applications

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Cover automata for finite languages have been much studied a few years ago. It turns out that a simple mathematical structure, namely similarity relations over a finite set of words, is underlying these studies. In the present work, we investigate in detail for themselves the properties of these relations beyond the scope of finite languages. New results with straightforward proofs are obtained in this generalized framework, and previous results concerning cover automata are obtained...