@article{discovery10063343, journal = {Logical Methods in Computer Science}, year = {2021}, title = {Equivalence checking for weak bi-Kleene algebra}, number = {3}, month = {August}, pages = {19:1--19:53}, note = {This work is licensed under the Creative Commons Attribution License. To view a copy of this license, visit https://creativecommons.org/licenses/by/4.0/}, volume = {17}, author = {Kapp{\'e}, T and Brunet, P and Luttik, B and Silva, A and Zanasi, F}, abstract = {Pomset automata are an operational model of weak bi-Kleene algebra, which describes programs that can fork an execution into parallel threads, upon completion of which execution can join to resume as a single thread. We characterize a fragment of pomset automata that admits a decision procedure for language equivalence. Furthermore, we prove that this fragment corresponds precisely to series-rational expressions, i.e., rational expressions with an additional operator for bounded parallelism. As a consequence, we obtain a new proof that equivalence of series-rational expressions is decidable.}, url = {https://doi.org/10.46298/lmcs-17(3:19)2021} }