Abstract
Input-output conformance simulation 
has been proposed by Gregorio-Rodríguez, Llana and Martínez-Torres as a simulation-based behavioural preorder underlying model-based testing. This relation is inspired by Tretman’s classic 
relation, but has better worst-case complexity than 
and supports stepwise refinement. The goal of this paper is to develop the theory of 
by studying logical characterisations of this relation and its compositionality. More specifically, this article presents characterisations of 
in terms of modal logics and compares them with an existing logical characterisation for 
proposed by Beohar and Mousavi. A precongruence rule format for 
and a rule format ensuring that operations take quiescence properly into account are also given. Both rule formats are based on the GSOS format by Bloom, Istrail and Meyer.
Research partially supported by the Spanish projects DArDOS (TIN2015-65845-C3-1-R), TRACES (TIN2015-67522-C3-3-R) and SICOMORo-CM (S2013/ICE-3006), the project 001-ABEL-CM-2013 within the NILS Science and Sustainability Programme and the project Nominal SOS (project nr. 141558-051) of the Icelandic Research Fund.
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Notes
- 1.
In fact, the symbol used to denote the operator
in [3] is \(\langle \![\cdot ]\!\rangle \), but we prefer to use an alternative notation in order to avoid confusion with our modal operator \(\langle \!| \cdot |\!\rangle \).
in [References
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Aceto, L., Fábregas, I., Gregorio-Rodríguez, C., Ingólfsdóttir, A. (2017). Logical Characterisations and Compositionality of Input-Output Conformance Simulation. In: Steffen, B., Baier, C., van den Brand, M., Eder, J., Hinchey, M., Margaria, T. (eds) SOFSEM 2017: Theory and Practice of Computer Science. SOFSEM 2017. Lecture Notes in Computer Science(), vol 10139. Springer, Cham. https://doi.org/10.1007/978-3-319-51963-0_4
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