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Extended Floyd-Hoare Logic over Relational Nominative Data

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Information and Communication Technologies in Education, Research, and Industrial Applications (ICTERI 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 826))

Abstract

The classical Floyd-Hoare logic is defined for the case of total pre- and postconditions and partial programs (i.e. programs can be undefined on some input data, but conditions must be defined on all data). In this paper we propose an extension of this logic for the case of partial conditions and partial programs over structured data. These data are based on two constructing primitives: naming and relational structuring and are called relational nominative data. They can conveniently represent many data structures used in programming. The semantics of the proposed logic is represented by special algebras of partial functions and predicates over relational nominative data. Operations of these algebras are called compositions. We present an inference system for the mentioned logic and propose an approach to its formalization in Mizar proof assistant. The obtained results can be used in software verification.

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Notes

  1. 1.

    Research on using specialized external systems to increase computational power of the Mizar system is also conducted [19,20,21].

  2. 2.

    Due to the size, the MML is a subject of research on optimization of theorems and definitions [33]. It includes the improvement of legibility of proofs [34,35,36] and removing duplications.

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Author information

Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, 64/13, Volodymyrska Street, Kyiv, 01601, Ukraine

    Mykola Nikitchenko, Ievgen Ivanov & Andrii Kryvolap

  2. Institute of Informatics, University of Białystok, Ciołkowskiego 1M, 15-245, Białystok, Poland

    Artur Korniłowicz

Authors
  1. Mykola Nikitchenko
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  2. Ievgen Ivanov
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  3. Artur Korniłowicz
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  4. Andrii Kryvolap
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Correspondence to Mykola Nikitchenko .

Editor information

Editors and Affiliations

  1. Aristotle University of Thessaloniki, Thessaloniki, Greece

    Nick Bassiliades

  2. Zaporizhzhia National University, Zaporizhzhia, Ukraine

    Vadim Ermolayev

  3. University of Bamberg, Bamberg, Germany

    Hans-Georg Fill

  4. Lviv Polytechnic National University, Lviv, Ukraine

    Vitaliy Yakovyna

  5. University of Klagenfurt, Klagenfurt, Austria

    Heinrich C. Mayr

  6. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    Mykola Nikitchenko

  7. V. N. Karazin Kharkiv National University, Kharkiv, Ukraine

    Grygoriy Zholtkevych

  8. Kherson State University, Kherson, Ukraine

    Aleksander Spivakovsky

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Nikitchenko, M., Ivanov, I., Korniłowicz, A., Kryvolap, A. (2018). Extended Floyd-Hoare Logic over Relational Nominative Data. In: Bassiliades, N., et al. Information and Communication Technologies in Education, Research, and Industrial Applications. ICTERI 2017. Communications in Computer and Information Science, vol 826. Springer, Cham. https://doi.org/10.1007/978-3-319-76168-8_3

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