We compare, in terms of expressive power, two notions of automata recognizing finite N-free pomsets: branching automata by Lodaya and Weil [Lodaya and Weil, 1998; Lodaya and Weil, 1998; Lodaya and Weil, 2000; Lodaya and Weil, 2001] and pomset automata by Kappé, Brunet, Luttik, Silva and Zanasi [Kappé et al., 2018]. In the general case, they are equivalent. We also consider sub-classes of both kind of automata that we prove equivalent.
@InProceedings{bedon:LIPIcs.FSTTCS.2021.37, author = {Bedon, Nicolas}, title = {{Branching Automata and Pomset Automata}}, booktitle = {41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021)}, pages = {37:1--37:13}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-215-0}, ISSN = {1868-8969}, year = {2021}, volume = {213}, editor = {Boja\'{n}czyk, Miko{\l}aj and Chekuri, Chandra}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2021.37}, URN = {urn:nbn:de:0030-drops-155486}, doi = {10.4230/LIPIcs.FSTTCS.2021.37}, annote = {Keywords: Finite N-free Pomsets, Finite Series-Parallel Pomsets, Branching Automata, Pomset Automata, Series-Parallel Rational Languages} }
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