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Dynamic Logic with Non-rigid Functions

A Basis for Object-Oriented Program Verification

  • Conference paper
Automated Reasoning (IJCAR 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4130))

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Abstract

We introduce a dynamic logic that is enriched by non-rigid functions, i.e., functions that may change their value from state to state (during program execution), and we present a (relatively) complete sequent calculus for this logic. In conjunction with dynamically typed object enumerators, non-rigid functions allow to embed notions of object-orientation in dynamic logic, thereby forming a basis for verification of object-oriented programs. A semantical generalisation of substitutions, called state update, which we add to the logic, constitutes the central technical device for dealing with object aliasing during function modification. With these few extensions, our dynamic logic captures the essential aspects of the complex verification system KeY and, hence, constitutes a foundation for object-oriented verification with the principles of reasoning that underly the successful KeY case studies.

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Author information

Authors and Affiliations

  1. Department of Computer Science, University of Koblenz-Landau,  

    Bernhard Beckert

  2. Department of Computing Science, University of Oldenburg,  

    André Platzer

Authors
  1. Bernhard Beckert
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  2. André Platzer
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Artificial Intelligence Research Group, University of Koblenz-Landau, Universitätsstr. 1, 56070, Koblenz

    Ulrich Furbach

  2. SRI International, MS EL256,, 333 Ravenswood Avenue, 94025-3493, Menlo Park, CA, USA

    Natarajan Shankar

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Beckert, B., Platzer, A. (2006). Dynamic Logic with Non-rigid Functions. In: Furbach, U., Shankar, N. (eds) Automated Reasoning. IJCAR 2006. Lecture Notes in Computer Science(), vol 4130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11814771_23

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  • DOI: https://doi.org/10.1007/11814771_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37187-8

  • Online ISBN: 978-3-540-37188-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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