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IFIP WG1.3 Foundations of System Specification

Talk "Efficient Coalgebraic Partition Refinement"

by Stefan Milius

Thu, 05 July 2018 at 02:40 pm in Royal Holloway, United Kingdom

Joint work with: Ulrich Dorsch, Lutz Schröder, Thorsten Wißmann

Abstract: We present a generic partition refinement algorithm that quotients coalgebraic systems by behavioural equivalence, an important task in reactive verification; coalgebraic generality implies in particular that we cover not only classical relational systems but also various forms of weighted systems. Under assumptions on the type functor that allow representing its finite coalgebras in terms of nodes and edges, our algorithm runs in time O(m log n) where n and m are the numbers of nodes and edges, respectively. Instances of our generic algorithm thus match the runtime of the best known algorithms for unlabelled transition systems, Markov chains, and deterministic automata (with fixed alphabets), and improve the best known algorithms for Segala systems.