Bisimilarity of Open Terms in Stream GSOS

Autor: Bonchi, Filippo, van Bussel, Tom, Lee, Matias David, Rot, Jurriaan
Rok vydání: 2018
Předmět:
Zdroj: Science of Computer Programming, Volume 172, pages 1-26, 2019, Elsevier
Druh dokumentu: Working Paper
DOI: 10.1016/j.scico.2018.10.007
Popis: Stream GSOS is a specification format for operations and calculi on infinite sequences. The notion of bisimilarity provides a canonical proof technique for equivalence of closed terms in such specifications. In this paper, we focus on open terms, which may contain variables, and which are equivalent whenever they denote the same stream for every possible instantiation of the variables. Our main contribution is to capture equivalence of open terms as bisimilarity on certain Mealy machines, providing a concrete proof technique. Moreover, we introduce an enhancement of this technique, called bisimulation up-to substitutions, and show how to combine it with other up-to techniques to obtain a powerful method for proving equivalence of open terms.
Databáze: arXiv