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Proceedings of the 1st International Symposium on Square Bamboos and the Geometree (ISSBG 2022)

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Three-Valued Gödel Logic With Constants and Involution for Application to R-Functions
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Authors
Revaz Grigolia1, 2, *
1
Department of Mathematics, Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia
2
Institute of Cybernetics, Georgian Technical University, Tbilisi, Georgia
*
Corresponding author. Email: revaz.grigolia@tsu.ge
Corresponding Author
Revaz Grigolia
Article History
Received 26 December 2022
Revised 15 January 2023
Accepted 29 September 2023
Available Online 29 November 2023
DOI
https://doi.org/10.55060/s.atmps.231115.005
Keywords
Three-valued Gödel logic
R-functions
Abstract

In this article we introduce a new logic: three-valued Gödel logic with constants and involution using the possibility to represent n-variable R-functions (real functions) such that the number of branches is equal to 33n instead of 22n in the case of classical (2-valued) logic which increases the expressibility. This many-valued logic is offered for application in the class of R-functions partitioned in branches corresponding to some Gödel logic formulas.

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This is an open access article distributed under the CC BY-NC license.
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Cite This Article

ris 
TY  - CONF
AU  - Revaz Grigolia
PY  - 2023
DA  - 2023/11/29
TI  - Three-Valued Gödel Logic With Constants and Involution for Application to R-Functions
BT  - Proceedings of the 1st International Symposium on Square Bamboos and the Geometree (ISSBG 2022)
PB  - Athena Publishing
SP  - 47
EP  - 51
SN  - 2949-9429
UR  - https://doi.org/10.55060/s.atmps.231115.005
DO  - https://doi.org/10.55060/s.atmps.231115.005
ID  - Grigolia2023
ER  -
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