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cs.LO2026

Reasoning About Probabilities, Actions, and Knowledge in Fuzzy Modal Logic

Daniil Kozhemiachenko, Igor Sedlár

We explore a fuzzy modal logic that can formalise probabilistic reasoning about actions and knowledge. In particular, we deal with contexts involving statements about events expres…

cs.LO2026

Probabilistic Abduction in a Fuzzy Logic Framework

Tommaso Flaminio, Katsumi Inoue, Daniil Kozhemiachenko

We study the problem of explaining observations about the probabilities of events, such as "it rains of the time", "rain and snow are equally likely", etc. We explain these…

cs.LO2025

Complexity of Łukasiewicz Modal Probabilistic Logics

Daniil Kozhemiachenko, Igor Sedlár

Modal probabilistic logics provide a framework for reasoning about probability in modal contexts, involving notions such as knowledge, belief, time, and action. In this paper, we s…

cs.LO2025

Paraconsistent Constructive Modal Logic

Han Gao, Daniil Kozhemiachenko, Nicola Olivetti

We present a family of paraconsistent counterparts of the constructive modal logic CK. These logics aim to formalise reasoning about contradictory but non-trivial propositional att…

cs.LO2025

Complexity of Abduction in Łukasiewicz Logic

Katsumi Inoue, Daniil Kozhemiachenko

We explore the problem of explaining observations in contexts involving statements with truth degrees such as `the lift is loaded', `the symptoms are severe', etc. To formalise the…

cs.LO2024

Abductive Reasoning in a Paraconsistent Framework

Meghyn Bienvenu, Katsumi Inoue, Daniil Kozhemiachenko

We explore the problem of explaining observations starting from a classically inconsistent theory by adopting a paraconsistent framework. We consider two expansions of the well-kno…