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A Linear-Time–Branching-Time Spectrum of Behavioral Specification Theories

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Abstract

We propose behavioral specification theories for most equivalences in the linear-time–branching-time spectrum. Almost all previous work on specification theories focuses on bisimilarity, but there is a clear interest in specification theories for other preorders and equivalences. We show that specification theories for preorders cannot exist and develop a general scheme which allows us to define behavioral specification theories, based on disjunctive modal transition systems, for most equivalences in the linear-time–branching-time spectrum.

Most of this work was carried out while the first author was still employed at Inria Rennes, France.

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Correspondence to Uli Fahrenberg .

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Fahrenberg, U., Legay, A. (2017). A Linear-Time–Branching-Time Spectrum of Behavioral Specification Theories. 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_5

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  • DOI: https://doi.org/10.1007/978-3-319-51963-0_5

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