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A note on normal forms for the closed fragment of system IL

Vedran Čačić orcid id orcid.org/0000-0003-2330-9740 ; epartment of Mathematics, University of Zagreb, Zagreb, Croatia
Mladen Vuković


Puni tekst: engleski pdf 230 Kb

str. 195-204

preuzimanja: 556

citiraj


Sažetak

In [8], P. Hájek and Švejdar determined normal forms for the system ILF, and showed that we can eliminate the modal operator $\rhd$ from $IL$--formulas.
The normal form for the closed fragment of the interpretability logic $IL$ is an open problem (see [13]).
We prove that in some cases we can eliminate the modal operator $\rhd$.
We give an example where it is impossible to eliminate $\rhd.$

Ključne riječi

modal logic; interpretability logic; normal form

Hrčak ID:

82998

URI

https://hrcak.srce.hr/82998

Datum izdavanja:

12.6.2012.

Posjeta: 1.304 *