We study valence systems, finite-control programs over infinite-state memories modeled in terms of graph monoids. Our contribution is a notion of bounded context switching (BCS). Valence systems generalize pushdowns, concurrent pushdowns, and Petri nets. In these settings, our definition conservatively generalizes existing notions. The main finding is that reachability within a bounded number of context switches is in NPTIME, independent of the memory (the graph monoid). Our proof is genuinely algebraic, and therefore contributes a new way to think about BCS. In addition, we exhibit a class of storage mechanisms for which BCS reachability belongs to PTIME.
@InProceedings{meyer_et_al:LIPIcs.CONCUR.2018.12, author = {Meyer, Roland and Muskalla, Sebastian and Zetzsche, Georg}, title = {{Bounded Context Switching for Valence Systems}}, booktitle = {29th International Conference on Concurrency Theory (CONCUR 2018)}, pages = {12:1--12:18}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-087-3}, ISSN = {1868-8969}, year = {2018}, volume = {118}, editor = {Schewe, Sven and Zhang, Lijun}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2018.12}, URN = {urn:nbn:de:0030-drops-95500}, doi = {10.4230/LIPIcs.CONCUR.2018.12}, annote = {Keywords: valence systems, graph monoids, bounded context switching} }
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