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A Certified Module to Study Digital Images with the Kenzo System

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Book cover Computer Aided Systems Theory – EUROCAST 2011 (EUROCAST 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6927))

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Abstract

Kenzo is a Computer Algebra system devoted to Algebraic Topology, written in the Common Lisp programming language. In this paper, programs which allow us to analyze monochromatic digital images with the Kenzo system are presented. Besides a complete automated proof of the correctness of our programs is provided. The proof is carried out using ACL2, a system for proving properties of programs written in (a subset of) Common Lisp.

Partially supported by Ministerio de Ciencia e Innovación, project MTM2009-13842-C02-01, and European Union’s 7th Framework Programme under grant agreement nr. 243847 (ForMath).

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Heras, J., Pascual, V., Rubio, J. (2012). A Certified Module to Study Digital Images with the Kenzo System. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2011. EUROCAST 2011. Lecture Notes in Computer Science, vol 6927. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27549-4_15

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  • DOI: https://doi.org/10.1007/978-3-642-27549-4_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27548-7

  • Online ISBN: 978-3-642-27549-4

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