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SMT-LIB Theory of Nominative Data

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Information and Communication Technologies in Education, Research, and Industrial Applications (ICTERI 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1175))

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Abstract

In this article, we describe the theory of nominative data, formulate the basic principles of the composition-nominative approach, define the class of nominative data and functions, and describe a calculus for the Theory of Nominative Data. By using nominative data, we can increase the adequacy level of representation of data structures, functions, and compositions that are used in programming languages. Thus, in terms of composition-nominative approach, we can build program verification system based on a unified conceptual basis. Computer-aided verification of computer programs often uses SMT (satisfiability modulo theories) solvers. A common technique is to translate preconditions, postconditions, and assertions into SMT formulas in order to determine whether required properties can hold. The SMT-LIB Standard was created for forming a common standard and library for solving SMT problems. Now, it is one of the most used libraries for SMT systems. Formulas in SMT-LIB format are accepted by the great majority of current SMT solvers. The theory of nominative data is of interest for software modelling and verification, but currently lacks support in the SMT-LIB format. In the article, we propose the declaration for the theory of nominative data for the SMT-LIB Standard 2.6.

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References

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Author information

Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, Akademika Hlushkova Avenue, 4d, Kiev, 03680, Ukraine

    Liudmyla Omelchuk & Olena Shyshatska

Authors
  1. Liudmyla Omelchuk
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  2. Olena Shyshatska
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Corresponding author

Correspondence to Liudmyla Omelchuk .

Editor information

Editors and Affiliations

  1. Zaporizhzhia National University, Zaporizhzhia, Ukraine

    Vadim Ermolayev

  2. Université Cote d’Azur, Nice, France

    Frédéric Mallet

  3. University of Warmia and Mazury in Olsztyn, Olsztyn, Poland

    Vitaliy Yakovyna

  4. University of Klagenfurt, Klagenfurt am Wörthersee, Austria

    Heinrich C. Mayr

  5. Kherson State University, Kherson, Ukraine

    Aleksander Spivakovsky

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Omelchuk, L., Shyshatska, O. (2020). SMT-LIB Theory of Nominative Data. In: Ermolayev, V., Mallet, F., Yakovyna, V., Mayr, H., Spivakovsky, A. (eds) Information and Communication Technologies in Education, Research, and Industrial Applications. ICTERI 2019. Communications in Computer and Information Science, vol 1175. Springer, Cham. https://doi.org/10.1007/978-3-030-39459-2_5

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  • DOI: https://doi.org/10.1007/978-3-030-39459-2_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-39458-5

  • Online ISBN: 978-3-030-39459-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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