Published in: LIPIcs, Volume 219, 39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022)
Heiko Dietrich, Murray Elder, Adam Piggott, Youming Qiao, and Armin Weiß. The Isomorphism Problem for Plain Groups Is in Σ₃^{𝖯}. In 39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 219, pp. 26:1-26:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{dietrich_et_al:LIPIcs.STACS.2022.26, author = {Dietrich, Heiko and Elder, Murray and Piggott, Adam and Qiao, Youming and Wei{\ss}, Armin}, title = {{The Isomorphism Problem for Plain Groups Is in \Sigma₃^\{𝖯\}}}, booktitle = {39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022)}, pages = {26:1--26:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-222-8}, ISSN = {1868-8969}, year = {2022}, volume = {219}, editor = {Berenbrink, Petra and Monmege, Benjamin}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2022.26}, URN = {urn:nbn:de:0030-drops-158368}, doi = {10.4230/LIPIcs.STACS.2022.26}, annote = {Keywords: plain group, isomorphism problem, polynomial hierarchy, \Sigma₃^\{𝖯\} complexity class, inverse-closed finite convergent length-reducing rewriting system} }
Published in: LIPIcs, Volume 132, 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)
Laura Ciobanu and Murray Elder. Solutions Sets to Systems of Equations in Hyperbolic Groups Are EDT0L in PSPACE (Track B: Automata, Logic, Semantics, and Theory of Programming). In 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 132, pp. 110:1-110:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
@InProceedings{ciobanu_et_al:LIPIcs.ICALP.2019.110, author = {Ciobanu, Laura and Elder, Murray}, title = {{Solutions Sets to Systems of Equations in Hyperbolic Groups Are EDT0L in PSPACE}}, booktitle = {46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)}, pages = {110:1--110:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-109-2}, ISSN = {1868-8969}, year = {2019}, volume = {132}, editor = {Baier, Christel and Chatzigiannakis, Ioannis and Flocchini, Paola and Leonardi, Stefano}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2019.110}, URN = {urn:nbn:de:0030-drops-106867}, doi = {10.4230/LIPIcs.ICALP.2019.110}, annote = {Keywords: Hyperbolic group, Existential theory, EDT0L language, PSPACE} }
Published in: LIPIcs, Volume 80, 44th International Colloquium on Automata, Languages, and Programming (ICALP 2017)
Volker Diekert and Murray Elder. Solutions of Twisted Word Equations, EDT0L Languages, and Context-Free Groups. In 44th International Colloquium on Automata, Languages, and Programming (ICALP 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 80, pp. 96:1-96:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)
@InProceedings{diekert_et_al:LIPIcs.ICALP.2017.96, author = {Diekert, Volker and Elder, Murray}, title = {{Solutions of Twisted Word Equations, EDT0L Languages, and Context-Free Groups}}, booktitle = {44th International Colloquium on Automata, Languages, and Programming (ICALP 2017)}, pages = {96:1--96:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-041-5}, ISSN = {1868-8969}, year = {2017}, volume = {80}, editor = {Chatzigiannakis, Ioannis and Indyk, Piotr and Kuhn, Fabian and Muscholl, Anca}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2017.96}, URN = {urn:nbn:de:0030-drops-73976}, doi = {10.4230/LIPIcs.ICALP.2017.96}, annote = {Keywords: Twisted word equation, EDT0L, virtually free group, context-free group} }
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