7 citations · 23 across the 14 of their papers we have counts for
14 papers
Filter-induced entailment relations in paraconsistent Gödel logics
Sabine Frittella, Daniil Kozhemiachenko
We consider two expansions of Gödel logic with two versions of paraconsistent negation. The first one is -- the expansion of with an in…
Two-layered logics for probabilities and belief functions over Belnap--Dunn logic
Marta Bilkova, Sabine Frittella, Daniil Kozhemiachenko +1
This paper is an extended version of an earlier submission to WoLLIC 2023. We discuss two-layered logics formalising reasoning with probabilities and belief functions that combine…
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…
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…
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^+…
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…
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…
Crisp bi-Gödel modal logic and its paraconsistent expansion
Marta Bilkova, Sabine Frittella, Daniil Kozhemiachenko
In this paper, we provide a Hilbert-style axiomatisation for the crisp bi-Gödel modal logic $\KbiG$. We prove its completeness w.r.t.\ crisp Kripke models where formulas at each st…
Qualitative reasoning in a two-layered framework
Marta Bilkova, Sabine Frittella, Daniil Kozhemiachenko +1
The reasoning with qualitative uncertainty measures involves comparative statements about events in terms of their likeliness without necessarily assigning an exact numerical value…
Updating belief functions over Belnap--Dunn logic
Sabine Frittella, Ondrej Majer, Sajad Nazari
Belief and plausibility are weaker measures of uncertainty than that of probability. They are motivated by the situations when full probabilistic information is not available. Howe…
Paraconsistent Gödel modal logic
Marta Bílková, Sabine Frittella, Daniil Kozhemiachenko
We introduce a~paraconsistent modal logic , based on Gödel logic with coimplication (bi-Gödel logic) expanded with a De Morgan negation . We use the l…
Reasoning with belief functions over Belnap--Dunn logic
Marta Bílková, Sabine Frittella, Daniil Kozhemiachenko +2
We design an expansion of Belnap--Dunn logic with belief and plausibility functions that allow non-trivial reasoning with inconsistent and incomplete probabilistic information. We…
Constraint tableaux for two-dimensional fuzzy logics
Marta Bílková, Sabine Frittella, Daniil Kozhemiachenko
We introduce two-dimensional logics based on Łukasiewicz and Gödel logics to formalize paraconsistent fuzzy reasoning. The logics are interpreted on matrices, where the common unde…
How to reason with inconsistent probabilistic information?
Marta Bílková, Sabine Frittella, Ondrej Majer +1
A recent line of research has developed around logics of belief based on evidence. The approach of Bílková et al understands belief as based on information confirmed by a reliable…