4 papers · 1 filter
Tense logics based on posets
Ivan Chajda, Helmut Länger, Antonio Ledda +2
Not all logical systems can be captured using algebras. We see this in classical logic (formalized by Boolean algebras) and many-valued logics (like Lukasiewicz logic with MV-algeb…
Implication in sharply paraorthomodular and relatively paraorthomodular posets
Ivan Chajda, Davide Fazio, Helmut Länger +2
In this paper we show that several classes of partially ordered structures having paraorthomodular reducts, or whose sections may be regarded as paraorthomodular posets, admit a qu…
Intuitionistic Logic is a Connexive Logic
Davide Fazio, Antonio Ledda, Francesco Paoli
We show that intuitionistic logic is deductively equivalent to Connexive Heyting Logic (CHL), hereby introduced as an example of a strong connexive logic with intuitive semantics.…
An algebraic analysis of implication in non-distributive logics
Ivan Chajda, Kadir Emir, Davide Fazio +3
In this paper, we introduce the concept of a (lattice) skew Hilbert algebra as a natural generalization of Hilbert algebras. This notion allows a unified treatment of several struc…