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Mathematical Synthesis of Equational Deduction Systems

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Typed Lambda Calculi and Applications (TLCA 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5608))

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Abstract

Our view of computation is still evolving. The concrete theories for specific computational phenomena that are emerging encompass three aspects: specification and programming languages for describing computations, mathematical structures for modelling computations, and logics for reasoning about properties of computations. To make sense of this complexity, and also to compare and/or relate different concrete theories, meta-theories have been built. These metatheories are used for the study, formalisation, specification, prototyping, and testing of concrete theories.

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References

  1. Fiore, M., Hur, C.-K.: On the construction of free algebras for equational systems. In: Special issue for Automata, Languages and Programming (ICALP 2007). Theoretical Computer Science, vol. 410, pp. 1704–1729. Elsevier, Amsterdam (2009)

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  2. Fiore, M., Hur, C.-K.: Term equational systems and logics. In: Proceedings of the 24th Conference on the Mathematical Foundations of Programming Semantics (MFPS XXIV). Electronic Notes in Theoretical Computer Science, vol. 218, pp. 171–192. Elsevier, Amsterdam (2008)

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  3. Fiore, M.: Algebraic theories and equational logics. In: Invited tutorial at the 24th Conference on the Mathematical Foundations of Programming Semantics, MFPS XXIV (2008), http://www.cl.cam.ac.uk/~mpf23/

  4. Fiore, M.: Second-order and dependently-sorted abstract syntax. In: 23rd Annual IEEE Symposium on Logic in Computer Science (LICS 2008), pp. 57–68. IEEE Computer Society Press, Los Alamitos (2008)

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  5. Hur, C.-K.: Categorical Equational Systems: Algebraic Models and Equational Reasoning. Forthcoming PhD thesis. Computer Laboratory, University of Cambridge (2009)

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Author information

Authors and Affiliations

  1. Computer Laboratory, University of Cambridge, UK

    Marcelo Fiore & Chung-Kil Hur

Authors
  1. Marcelo Fiore
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  2. Chung-Kil Hur
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Editor information

Editors and Affiliations

  1. Laboratoire PPS (CNRS / Paris 7), Case 7014, Université Paris Diderot - Paris 7, 75205, Paris Cedex 13, France

    Pierre-Louis Curien

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© 2009 Springer-Verlag Berlin Heidelberg

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Fiore, M., Hur, CK. (2009). Mathematical Synthesis of Equational Deduction Systems. In: Curien, PL. (eds) Typed Lambda Calculi and Applications. TLCA 2009. Lecture Notes in Computer Science, vol 5608. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02273-9_1

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  • DOI: https://doi.org/10.1007/978-3-642-02273-9_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02272-2

  • Online ISBN: 978-3-642-02273-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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