Geodesic
Admissible inference rules of temporal intransitive logic with the operator "tomorrow"
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 3, pp. 347-354

Voir la notice de l'article provenant de la source Math-Net.Ru

We investigates non-transitive temporal logic with the "tomorrow" operator. In this logic, the operator "necessary" $\Box$ coincides with the operator “possible” $\Diamond$ (or almost coincides in reflexive case). In addition to the basic properties of the reflexive non-transitive logic ${{\mathcal L}}^r$ (decidability, finite approximability), admissible rules of this logic are investigated. The main result consists in proving the structural completeness of this logic and its tabular extensions.
Keywords: modal logic, frame and model Kripke, admissible and globally admissible inference rule. 
@article{JSFU_2024_17_3_a5,
     author = {Vitaliy V. Rimatsky and Olga V. Ganchukova},
     title = {Admissible inference rules of temporal intransitive logic with the operator "tomorrow"},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {347--354},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_3_a5/}
}
TY  - JOUR
AU  - Vitaliy V. Rimatsky
AU  - Olga V. Ganchukova
TI  - Admissible inference rules of temporal intransitive logic with the operator "tomorrow"
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2024
SP  - 347
EP  - 354
VL  - 17
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2024_17_3_a5/
LA  - en
ID  - JSFU_2024_17_3_a5
ER  - 
%0 Journal Article
%A Vitaliy V. Rimatsky
%A Olga V. Ganchukova
%T Admissible inference rules of temporal intransitive logic with the operator "tomorrow"
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2024
%P 347-354
%V 17
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2024_17_3_a5/
%G en
%F JSFU_2024_17_3_a5
Vitaliy V. Rimatsky; Olga V. Ganchukova. Admissible inference rules of temporal intransitive logic with the operator "tomorrow". Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 3, pp. 347-354. http://geodesic.mathdoc.fr/item/JSFU_2024_17_3_a5/