- Tytuł:
- On Theses Without Iterated Modalities of Modal Logics Between C1 and S5. Part 1
- Autorzy:
- Pietruszczak, Andrzej
- Powiązania:
- https://bibliotekanauki.pl/articles/749944.pdf
- Data publikacji:
- 2017
- Wydawca:
- Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
- Tematy:
-
first-degree theses of modal logics
theses without iterated modalities
Pollack’s theory of Basic Modal Logic
basic theories for modal logics between C1 and S5 - Opis:
- This is the first, out of two papers, in which we identify all logics between C1 and S5 having the same theses without iterated modalities. All these logics canbe divided into certain groups. Each such group depends only on which of thefollowing formulas are theses of all logics from this group: (N), (T), (D), ⌜(T)∨ ☐q⌝,and for any n > 0 a formula ⌜(T) ∨ (altn)⌝, where (T) has not the atom ‘q’, and(T) and (altn) have no common atom. We generalize Pollack’s result from [12],where he proved that all modal logics between S1 and S5 have the same theseswhich does not involve iterated modalities (i.e., the same first-degree theses).
- Źródło:
-
Bulletin of the Section of Logic; 2017, 46, 1/2
0138-0680
2449-836X - Pojawia się w:
- Bulletin of the Section of Logic
- Dostawca treści:
- Biblioteka Nauki
Artykuł