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A coalgebraic treatment of conditional transition systems with upgrades

Beohar, H; König, B; Küpper, S; Silva, A; Wissmann, T; (2018) A coalgebraic treatment of conditional transition systems with upgrades. Logical Methods in Computer Science , 14 (1) 10.23638/LMCS-14(1:19)2018. Green open access

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Abstract

We consider conditional transition systems, that model software product lines with upgrades, in a coalgebraic setting. By using Birkhoff's duality for distributive lattices, we derive two equivalent Kleisli categories in which these coalgebras live: Kleisli categories based on the reader and on the so-called lattice monad over Poset. We study two different functors describing the branching type of the coalgebra and investigate the resulting behavioural equivalence. Furthermore we show how an existing algorithm for coalgebra minimisation can be instantiated to derive behavioural equivalences in this setting.

Type: Article
Title: A coalgebraic treatment of conditional transition systems with upgrades
Open access status: An open access version is available from UCL Discovery
DOI: 10.23638/LMCS-14(1:19)2018
Language: English
Additional information: This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit https://creativecommons.org/licenses/by-nd/4.0/
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10061152
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