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Certifying circuits in Type Theory

The work

AuthorsSolange Coupet-Grimal; Line Jakubiec
Editors
Typearticle
Year2004
Citekeycoupetgrimal2004certifying

Where it appeared

Published inFormal Aspects of Computing
PublisherSpringer Science+Business Media
Volume16
Issue4
Pages352--373

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Abstract

Abstract We investigate how to take advantage of the particular features of the calculus of inductive constructions in the framework of hardware verification. First, we emphasize in a short case study the use of dependent types and of the constructive aspect of the logic for specifying and synthesizing combinatorial circuits. Then, co-inductive types are introduced to model the temporal aspects of sequential synchronous devices. Moore and Mealy automata are co-inductively axiomatized and are used to represent uniformly both the structures and the behaviors of the circuits. This leads to clear, general and elegant proof processes as is illustrated on the example of a realistic circuit: the ATM Switch Fabric. All the proofs are carried out using Coq.

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Filed under

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Cite it as

@article{coupetgrimal2004certifying,
  title        = {Certifying circuits in Type Theory},
  author       = {Solange Coupet-Grimal and Line Jakubiec},
  year         = {2004},
  journal      = {Formal Aspects of Computing},
  publisher    = {Springer Science+Business Media},
  volume       = {16},
  number       = {4},
  pages        = {352--373},
  doi          = {10.1007/s00165-004-0048-3},
}

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