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FOSSACS
2011
Springer

Regularity and Context-Freeness over Word Rewriting Systems

13 years 2 months ago
Regularity and Context-Freeness over Word Rewriting Systems
We describe a general decomposition mechanism to express the derivation relation of a word rewriting system R as the composition of a (regular) substitution followed by the derivation relation of a system R ∪ D, where R is a strict sub-system of R and D is the Dyck rewriting system. From this decomposition, we deduce that the system R (resp. R−1 ) preserves regular (resp. context-free) languages whenever R ∪ D does. From this we can deduce regularity and context-freeness preservation properties for a generalization of tagged bifix systems.
Didier Caucal, Dinh Trong Hieu
Added 28 Aug 2011
Updated 28 Aug 2011
Type Journal
Year 2011
Where FOSSACS
Authors Didier Caucal, Dinh Trong Hieu
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