Theory of M-system

Author:

Essert Mario1,Kuzmanović Ivana2,Vazler Ivan3,Žilić Tihomir1

Affiliation:

1. Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Luičića 5, 10000 Zagreb, Croatia.

2. Department of Mathematics, J.J. Strossmayer University of Osijek, Trg Lj. Gaja 6, 31000 Osijek, Croatia.

3. Department of Physics, J.J. Strossmayer University of Osijek, Trg Lj. Gaja 6, 31000 Osijek, Croatia.

Abstract

Abstract This article introduces a new formal theory, the theory of $M$-system, which represents a many-valued logic system. Basic terms and concepts are defined which are the foundation for their further application. Though the theory comes from the field of electric circuitry, an attempt will be made to extend it to applications in linguistics. To check the examples used in this article, a Haskell program was made, which can be found at https://www.schoolofhaskell.com/user/ivazler/linguistic.

Funder

Croatian Science Foundation

Publisher

Oxford University Press (OUP)

Subject

Logic

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4. Representation and Inference for Natural Language: A First Course in Computational Semantics.;Blackburn.,2005

5. Ob odnom trechznacnom iscislenii i ego primenenii k analizu paradoksov klassiceskogo rassirennogo funkcionalnogo iscislenija.;Bochvar.;Matematiceskij Sbornik,1938

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