Monotonic modal logics with a conjunction
Autor: | Paula Menchón, Sergio Arturo Celani |
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Rok vydání: | 2021 |
Předmět: |
Logic
010102 general mathematics Semilattice Monotonic function 0102 computer and information sciences Modal operator 01 natural sciences Algebra Philosophy Monotone polygon Modal Distributive property Algebraic semantics 010201 computation theory & mathematics Computer Science::Logic in Computer Science Completeness (order theory) 0101 mathematics Mathematics |
Zdroj: | Archive for Mathematical Logic. 60:857-877 |
ISSN: | 1432-0665 0933-5846 |
DOI: | 10.1007/s00153-021-00764-9 |
Popis: | Monotone modal logics have emerged in several application areas such as computer science and social choice theory. Since many of the most studied selfextensional logics have a conjunction, in this paper we study some distributive extensions obtained from a semilattice based deductive system with monotonic modal operators, and we give them neighborhood and algebraic semantics. For each logic defined our main objective is to prove completeness with respect to its characteristic class of monotonic frames. |
Databáze: | OpenAIRE |
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