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Extending regular expressions with homomorphic replacement

  • We define H- and EH-expressions as extensions of regular expressions by adding homomorphic and iterated homomorphic replacement as new operations, resp. The definition is analogous to the extension given by Gruska in order to characterize context-free languages. We compare the families of languages obtained by these extensions with the families of regular, linear context-free, context-free, and EDT0L languages. Moreover, relations to language families based on patterns, multi-patterns, pattern expressions, H-systems and uniform substitutions are also investigated. Furthermore, we present their closure properties with respect to TRIO operations and discuss the decidability status and complexity of fixed and general membership, emptiness, and the equivalence problem.

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Author:Henning Bordihn, Juergen Dassow, Markus Holzer
Document Type:Article
Year of first Publication:2010
Year of Completion:2010
Release Date:2017/03/25
Source:RAIRO : theoretical informatics and applications. - ISSN 0988-3754. - 44 (2010), 2, S. 229 - 255
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Informatik und Computational Science
Peer Review:Referiert
Institution name at the time of publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Informatik