Selected publications at LSV

Message sequence charts (MSCs) naturally arise as executions of communicating finite-state machines (CFMs), in which finite-state processes exchange messages through unbounded FIFO channels. We study the first-order logic of MSCs, featuring Lamport's happened-before relation. Our main result states that every first-order sentence can be transformed into an equivalent CFM. This answers an open question and settles the exact relation between CFMs and fragments of monadic second-order logic. As a byproduct, we obtain self-contained normal-form constructions for first-order logic over MSCs (and, therefore, over words). In particular, we show that first-order logic over MSCs has the three-variable property.

   address = {Beijing, China},
   author = {Bollig, Benedikt and Fortin, Marie and Gastin, Paul},
   booktitle = {{P}roceedings of the 29th {I}nternational {C}onference on {C}oncurrency {T}heory ({CONCUR}'18)},
   editor = {Schewe, Sven and Zhang, Lijun},
   month = sep,
   note = {To appear},
   publisher = {Leibniz-Zentrum f{\"u}r Informatik},
   series = {Leibniz International Proceedings in Informatics},
   title = {It Is Easy to Be Wise After the Event: Communicating Finite-State Machines Capture First-Order Logic with ''Happened Before''},
   volume = {118},
   year = {2018},

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