TY - JOUR A1 - Bordihn, Henning A1 - Dassow, Juergen A1 - Holzer, Markus T1 - Extending regular expressions with homomorphic replacement N2 - 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. Y1 - 2010 UR - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/32086 UR - http://www.rairo-ita.org/ SN - 0988-3754 ER -