- Tytuł:
- Simple Decision Procedure for S5 in Standard Cut-Free Sequent Calculus
- Autorzy:
- Indrzejczak, Andrzej
- Powiązania:
- https://bibliotekanauki.pl/articles/749928.pdf
- Data publikacji:
- 2016
- Wydawca:
- Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
- Tematy:
-
Modal logic S5
decidability
normal forms
sequent calculus - Opis:
- In the paper a decision procedure for S5 is presented which uses a cut-free sequent calculus with additional rules allowing a reduction to normal modal forms. It utilizes the fact that in S5 every formula is equivalent to some 1-degree formula, i.e. a modally-flat formula with modal functors having only boolean formulas in its scope. In contrast to many sequent calculi (SC) for S5 the presented system does not introduce any extra devices. Thus it is a standard version of SC but with some additional simple rewrite rules. The procedure combines the proces of saturation of sequents with reduction of their elements to some normal modal form.
- Źródło:
-
Bulletin of the Section of Logic; 2016, 45, 2
0138-0680
2449-836X - Pojawia się w:
- Bulletin of the Section of Logic
- Dostawca treści:
- Biblioteka Nauki
Artykuł