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International Joint Conference on Rough Sets

IJCRS 2017: Rough Sets pp 138–157Cite as

Actual Existence Predicate in Mereology and Mereotopology (Extended Abstract)

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10314))

Abstract

This paper is devoted to an axiomatic characterization of an ontological predicate called “actual existence”. We analyze this predicate in the context of some mereological and mereotopological systems. The resulting mereological system is a Boolean algebra with a predicate of actual existence and the resulting system in mereotopology is a Boolean algebra with predicate of actual existence and a binary relation called “actual contact”. For both systems we present standard models and prove the corresponding representation theorems.

The author is sponsored by Contract DN02/15/19.12.2016 with Bulgarian NSF. Project title: “Space, Time and Modality: Relational, Algebraic and Topological Models”. Thanks are due to the anonymous referees for their valuable remarks and suggestions.

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Author information

Authors and Affiliations

  1. Department of Mathematical Logic with Applications, Faculty of Mathematics and Computer Science, Sofia University, blvd James Bouchier 5, 1126, Sofia, Bulgaria

    Dimiter Vakarelov

Authors
  1. Dimiter Vakarelov
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Correspondence to Dimiter Vakarelov .

Editor information

Editors and Affiliations

  1. Polish-Japanese Academy of Information Technology, Warsaw, Poland

    Lech Polkowski

  2. University of Regina, Regina, Saskatchewan, Canada

    Yiyu Yao

  3. University of Warmia and Mazury, Olsztyn, Poland

    Piotr Artiemjew

  4. University of Milano-Bicocca, Milano, Italy

    Davide Ciucci

  5. Southwest Jiaotong University, Chengdu, China

    Dun Liu

  6. Warsaw University, Warszawa, Poland

    Dominik Ślęzak

  7. Silesian University, Sosnowiec, Poland

    Beata Zielosko

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Vakarelov, D. (2017). Actual Existence Predicate in Mereology and Mereotopology (Extended Abstract). In: Polkowski, L., et al. Rough Sets. IJCRS 2017. Lecture Notes in Computer Science(), vol 10314. Springer, Cham. https://doi.org/10.1007/978-3-319-60840-2_10

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  • DOI: https://doi.org/10.1007/978-3-319-60840-2_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60839-6

  • Online ISBN: 978-3-319-60840-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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