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  • 标题:Hyper Partial Order Logic
  • 本地全文:下载
  • 作者:B{\'e}atrice B{\'e}rard ; Stefan Haar ; Loic H{\'e}lou{\"e}t
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2018
  • 卷号:122
  • 页码:1-21
  • DOI:10.4230/LIPIcs.FSTTCS.2018.20
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:We define HyPOL, a local hyper logic for partial order models, expressing properties of sets of runs. These properties depict shapes of causal dependencies in sets of partially ordered executions, with similarity relations defined as isomorphisms of past observations. Unsurprisingly, since comparison of projections are included, satisfiability of this logic is undecidable. We then address model checking of HyPOL and show that, already for safe Petri nets, the problem is undecidable. Fortunately, sensible restrictions of observations and nets allow us to bring back model checking of HyPOL to a decidable problem, namely model checking of MSO on graphs of bounded treewidth.
  • 关键词:Partial orders; logic; hyper-logic
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