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On context-free rewriting with a simple restriction and its computational completeness

Published online by Cambridge University Press:  06 March 2009

Tomáš Masopust  and
Alexander Meduna
Tomáš Masopust
Affiliation:
Faculty of Information Technology, Brno University of Technology, Božetěchova 2, Brno 61266, Czech Republic. [email protected]; [email protected]
Alexander Meduna
Affiliation:
Faculty of Information Technology, Brno University of Technology, Božetěchova 2, Brno 61266, Czech Republic. [email protected]; [email protected]
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Abstract

This paper discusses context-free rewriting systems inwhich there exist two disjoint finite sets of rules, and a symbol, referred to as a condition of applicability, is attached to each rule in either of these two sets. In one set, a rule with a symbol attached to it is applicable if the attached symbol occurs in the current rewritten string while in the other set, such a rule is applicable if the attached symbol does not occur there. The present paper demonstrates that these rewriting systems are computationally complete. From this main result, the paper derives several consequences and solves several open problems.

Keywords

Formal languagescontext-free grammarcontext-free rewriting systemderivation restrictiongenerative power.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 43 , Issue 2 , April 2009 , pp. 365 - 378
Copyright
© EDP Sciences, 2008

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References

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