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Extending Separation Logic with Fixpoints and Postponed Substitution

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Algebraic Methodology and Software Technology (AMAST 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3116))

Abstract

We are interested in static analysis of programs which use shared mutable data structures. We introduce a backward and a forward analyses with a separation logic called BI μν. This logic is an extension of BI logic [7], to which we add fixpoint connectives and a postponed substitution. This allows us to express recursive definitions within the logic as well as the axiomatic semantics of while statements. Unlike the existing rule-based approach to program proof using separation logic, our approach does not have syntactical restrictions on the use of rules.

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Sims, ÉJ. (2004). Extending Separation Logic with Fixpoints and Postponed Substitution. In: Rattray, C., Maharaj, S., Shankland, C. (eds) Algebraic Methodology and Software Technology. AMAST 2004. Lecture Notes in Computer Science, vol 3116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27815-3_36

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  • DOI: https://doi.org/10.1007/978-3-540-27815-3_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22381-8

  • Online ISBN: 978-3-540-27815-3

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