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On the equivalence of linear conjunctive grammars and trellis automata

Published online by Cambridge University Press:  15 March 2004

Alexander Okhotin
Alexander Okhotin*
Affiliation:
School of Computing, Queen's University, Kingston, Ontario, Canada; [email protected].
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Abstract

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 of several other formal systems, including a certain restricted class of Turing machines and a certain type of language equations, thus giving further evidence for the importance of the language family they all generate.

Keywords

Conjunctive grammartrellis automatoncellular automatonlanguage equationTuring machine.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 38 , Issue 1 , January 2004 , pp. 69 - 88
Copyright
© EDP Sciences, 2004

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