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Algebraic Abstractions

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Recent Trends in Algebraic Development Techniques (WADT 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2267))

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Abstract

In this paper we study abstraction techniques for verification problems of the form C ⊨ ϕ, where C is a first-order structure and ϕ is a first-order formula (both w.r.t. a given signature ∑). This study is motivated by the need of such abstractions for the automatic verification of properties of cryptographic protocols, which in our approach are modeled by first-order structures. Our so-called algebraic abstractions will be correct by construction and optimal in some certain technical sense. Moreover, we provide guidelines to design specific algebraic abstractions suited for verification problems corresponding to cryptographic protocols.

This work is partially supported by the RNTL project EVA funded by the French Ministry of Research.

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Author information

Authors and Affiliations

  1. Laboratoire Spécification et Vérification (LSV), CNRS & ENS de Cachan, France

    Michel Bidoit & Alexandre Boisseau

Authors
  1. Michel Bidoit
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  2. Alexandre Boisseau
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Editor information

Editors and Affiliations

  1. DISI -Dipartimento e Informatica di Scienze dell’Informazione, Università di Genova, Via Dodecaneso,35, 16146, Genova, Italy

    Maura Cerioli  & Gianna Reggio  & 

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© 2002 Springer-Verlag Berlin Heidelberg

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Bidoit, M., Boisseau, A. (2002). Algebraic Abstractions. In: Cerioli, M., Reggio, G. (eds) Recent Trends in Algebraic Development Techniques. WADT 2001. Lecture Notes in Computer Science, vol 2267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45645-7_2

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  • DOI: https://doi.org/10.1007/3-540-45645-7_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43159-6

  • Online ISBN: 978-3-540-45645-2

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