Characteristic Bisimulation for Higher-Order Session Processes

Authors Dimitrios Kouzapas, Jorge A. Pérez, Nobuko Yoshida

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Dimitrios Kouzapas
Jorge A. Pérez
Nobuko Yoshida

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Dimitrios Kouzapas, Jorge A. Pérez, and Nobuko Yoshida. Characteristic Bisimulation for Higher-Order Session Processes. In 26th International Conference on Concurrency Theory (CONCUR 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 42, pp. 398-411, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)


Characterising contextual equivalence is a long-standing issue for higher-order (process) languages. In the setting of a higher-order pi-calculus with sessions, we develop characteristic bisimilarity, a typed bisimilarity which fully characterises contextual equivalence. To our knowledge, ours is the first characterisation of its kind. Using simple values inhabiting (session) types, our approach distinguishes from untyped methods for characterising contextual equivalence in higher-order processes: we show that observing as inputs only a precise finite set of higher-order values suffices to reason about higher-order session processes. We demonstrate how characteristic bisimilarity can be used to justify optimisations in session protocols with mobile code communication.
  • Behavioural equivalences
  • session types
  • higher-order process calculi


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