Efficient and Modular Coalgebraic Partition Refinement

Wißmann T, Dorsch U, Milius S, Schröder L (2020)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2020

Journal

Book Volume: 16

Pages Range: 1–63

Article Number: 8

Journal Issue: 1

Open Access Link: https://lmcs.episciences.org/6064

Abstract

We present a generic partition refinement algorithm that quotients coalgebraic systems by behavioural equivalence, an important task in system analysis and verification. Coalgebraic generality allows us to cover not only classical relational systems but also, e.g. various forms of weighted systems and furthermore to flexibly combine existing system types. 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)" role="presentation">(𝑚⋅log𝑛) where n" role="presentation">𝑛 and m" role="presentation">𝑚 are the numbers of nodes and edges, respectively. The generic complexity result and the possibility of combining system types yields a toolbox for efficient partition refinement algorithms. Instances of our generic algorithm match the run-time of the best known algorithms for unlabelled transition systems, Markov chains, deterministic automata (with fixed alphabets), Segala systems, and for color refinement.

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How to cite

APA:

Wißmann, T., Dorsch, U., Milius, S., & Schröder, L. (2020). Efficient and Modular Coalgebraic Partition Refinement. Logical Methods in Computer Science, 16(1), 1–63.

MLA:

Wißmann, Thorsten, et al. "Efficient and Modular Coalgebraic Partition Refinement." Logical Methods in Computer Science 16.1 (2020): 1–63.

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