Bisimulation equivalence is decidable in polynomial time over normed graphs generated by a context-free grammar. We present a new algorithm, working in time $O(n^5)$, thus improving the previously known complexity $O(n^8 * polylog(n))$. It also improves the previously known complexity $O(n^6 * polylog(n))$ of the equality problem for simple grammars.
@InProceedings{czerwinski_et_al:LIPIcs.FSTTCS.2010.260, author = {Czerwinski, Wojciech and Lasota, Slawomir}, title = {{Fast equivalence-checking for normed context-free processes}}, booktitle = {IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2010)}, pages = {260--271}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-23-1}, ISSN = {1868-8969}, year = {2010}, volume = {8}, editor = {Lodaya, Kamal and Mahajan, Meena}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2010.260}, URN = {urn:nbn:de:0030-drops-28690}, doi = {10.4230/LIPIcs.FSTTCS.2010.260}, annote = {Keywords: bisimulation, norm, context-free grammar, simple grammar} }
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