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      A Unified Theory of Program Logics: An Approach based on the π-Calculus

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      Visions of Computer Science - BCS International Academic Conference (VOCS)

      BCS International Academic Conference

      22 - 24 September 2008

      The π-calculus, Types, Hoare logics, Hennessy-Milner logics, Relay-guarantee logic, Logical full abstraction

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          Abstract

          Facing a staggering diversity of software behaviours in modern and future computing, we argue for the need of a unified theory of program logics for a wide variety of software behaviours as a foundation of software engineering.We propose Hennessy-Milner logic for typed π-calculi as one possible such foundation. The π-calculus enjoys a singular position among computational calculi through its ability to embed sequential and concurrent programs as name passing processes without losing semantic information, and through its connection to other basic theories such as Linear Logic and Game Semantics. The embedding of programs in processes leads to the embedding of logics for programs in the logic for processes, where the observational content of a given program logic is made explicit, analysed and justified on a uniform basis. As a case study, we show embeddings of Hoare logic for sequential programs and a rely-guarantee logic for shared variable concurrency, suggesting that the proposed framework can offer a unifying basis to capture fundamental notions in program logics such as partial/total correctness, sequentiality and different kinds of concurrent computing.

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          Author and article information

          Contributors
          Conference
          September 2008
          September 2008
          : 259-247
          Affiliations
          Department of Computer Science

          Queen Mary, University of London
          Department of Computing

          Imperial College London
          Article
          10.14236/ewic/VOCS2008.22
          © Kohei Honda et al. Published by BCS Learning and Development Ltd. Visions of Computer Science - BCS International Academic Conference

          This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

          Visions of Computer Science - BCS International Academic Conference
          VOCS
          Imperial College, London, UK
          22 - 24 September 2008
          Electronic Workshops in Computing (eWiC)
          BCS International Academic Conference
          Product
          Product Information: 1477-9358BCS Learning & Development
          Self URI (journal page): https://ewic.bcs.org/
          Categories
          Electronic Workshops in Computing

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