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A Formalized General Theory of Syntax with Bindings

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Interactive Theorem Proving (ITP 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10499))

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Abstract

We present the formalization of a theory of syntax with bindings that has been developed and refined over the last decade to support several large formalization efforts. Terms are defined for an arbitrary number of constructors of varying numbers of inputs, quotiented to alpha-equivalence and sorted according to a binding signature. The theory includes a rich collection of properties of the standard operators on terms, such as substitution and freshness. It also includes induction and recursion principles and support for semantic interpretation, all tailored for smooth interaction with the bindings and the standard operators.

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Acknowledgment

We thank the anonymous reviewers for suggesting textual improvements. Popescu has received funding from UK’s Engineering and Physical Sciences Research Council (EPSRC) via the grant EP/N019547/1, Verification of Web-based Systems (VOWS).

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Authors and Affiliations

  1. Department of Computer Science, Middlesex University, London, UK

    Lorenzo Gheri & Andrei Popescu

  2. Institute of Mathematics Simion Stoilow of the Romanian Academy, Bucharest, Romania

    Andrei Popescu

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  1. Lorenzo Gheri
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Correspondence to Andrei Popescu .

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Editors and Affiliations

  1. University of Brasília, Brasília D.F., Brazil

    Mauricio Ayala-Rincón

  2. NASA, Hampton, VA, USA

    César A. Muñoz

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Gheri, L., Popescu, A. (2017). A Formalized General Theory of Syntax with Bindings. In: Ayala-Rincón, M., Muñoz, C.A. (eds) Interactive Theorem Proving. ITP 2017. Lecture Notes in Computer Science(), vol 10499. Springer, Cham. https://doi.org/10.1007/978-3-319-66107-0_16

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