Castiglioni, Valentina and Gebler, Daniel and Tini, Simone - SOS-based Modal Decomposition on Nondeterministic Probabilistic Processes

lmcs:4641 - Logical Methods in Computer Science, June 25, 2018, Volume 14, Issue 2
SOS-based Modal Decomposition on Nondeterministic Probabilistic Processes

Authors: Castiglioni, Valentina and Gebler, Daniel and Tini, Simone

We propose a method for the decomposition of modal formulae on processes with nondeterminism and probability with respect to Structural Operational Semantics. The purpose is to reduce the satisfaction problem of a formula for a process to verifying whether its subprocesses satisfy certain formulae obtained from the decomposition. To deal with the probabilistic behavior of processes, and thus with the decomposition of formulae characterizing it, we introduce a SOS-like machinery allowing for the specification of the behavior of open distribution terms. By our decomposition, we obtain (pre)congruence formats for probabilistic bisimilarity, ready similarity and similarity.


Source : oai:arXiv.org:1701.08330
DOI : 10.23638/LMCS-14(2:18)2018
Volume: Volume 14, Issue 2
Published on: June 25, 2018
Submitted on: January 31, 2017
Keywords: Computer Science - Logic in Computer Science,F.3.2


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