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20212026
most citedQualitative reasoning in a two-layered framework

7 citations · 31 across the 26 of their papers we have counts for

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6 papers · 1 filter

math.LO2023

Fuzzy bi-Gödel modal logic and its paraconsistent relatives

Marta Bilkova, Sabine Frittella, Daniil Kozhemiachenko

We present the axiomatisation of the fuzzy bi-Gödel modal logic (formulated in the language containing and treating the coimplication as a defined connective) and estab…

math.LO2023★ 2 cited

Knowledge and ignorance in Belnap--Dunn logic

Daniil Kozhemiachenko, Liubov Vashentseva

In this paper, we argue that the usual approach to modelling knowledge and belief with the necessity modality does not produce intuitive outcomes in the framework of the Bel…

math.LO2023★ 1 cited

Non-standard modalities in paraconsistent Gödel logic

Marta Bilkova, Sabine Frittella, Daniil Kozhemiachenko

We introduce a paraconsistent expansion of the Gödel logic with a De Morgan negation and modalities and . We equip it with Kripke semantics on…

math.LO2023

Paraconsistent Gödel modal logic on bi-relational frames

Marta Bilkova, Sabine Frittella, Daniil Kozhemiachenko

We further develop the paraconsistent Gödel modal logic. In this paper, we consider its version endowed with Kripke semantics on -valued frames with two fuzzy relations $R^+…

math.LO2023★ 2 cited

Two-layered logics for paraconsistent probabilities

Marta Bilkova, Sabine Frittella, Daniil Kozhemiachenko +1

We discuss two two-layered logics formalising reasoning with paraconsistent probabilities that combine the Lukasiewicz -valued logic with Baaz operator and the B…

math.LO2023

Presumptive Reasoning in a Paraconsistent Setting

Sabine Frittella, Daniil Kozhemiachenko, Bart Verheij

We explore presumptive reasoning in the paraconsistent case. Specifically, we provide semantics for non-trivial reasoning with presumptive arguments with contradictory assumptions…