Place, Thomas and van Rooijen, Lorijn and Zeitoun, Marc - On Separation by Locally Testable and Locally Threshold Testable Languages

lmcs:1163 - Logical Methods in Computer Science, September 18, 2014, Volume 10, Issue 3
On Separation by Locally Testable and Locally Threshold Testable Languages

Authors: Place, Thomas and van Rooijen, Lorijn and Zeitoun, Marc

A separator for two languages is a third language containing the first one and disjoint from the second one. We investigate the following decision problem: given two regular input languages, decide whether there exists a locally testable (resp. a locally threshold testable) separator. In both cases, we design a decision procedure based on the occurrence of special patterns in automata accepting the input languages. We prove that the problem is computationally harder than deciding membership. The correctness proof of the algorithm yields a stronger result, namely a description of a possible separator. Finally, we discuss the same problem for context-free input languages.


Source : oai:arXiv.org:1308.0181
DOI : 10.2168/LMCS-10(3:24)2014
Volume: Volume 10, Issue 3
Published on: September 18, 2014
Submitted on: November 25, 2013
Keywords: Computer Science - Formal Languages and Automata Theory


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