Non-distributive logics: from semantics to meaning

W Conradie, A Palmigiano, C Robinson… - arXiv preprint arXiv …, 2020 - arxiv.org
We discuss an ongoing line of research in the relational (non topological) semantics of non-
distributive logics. The developments we consider are technically rooted in dual …

Rough concepts

W Conradie, S Frittella, K Manoorkar, S Nazari… - Information …, 2021 - Elsevier
The present paper proposes a novel way to unify Rough Set Theory and Formal Concept
Analysis. Our method stems from results and insights developed in the algebraic theory of …

[HTML][HTML] Modal reduction principles across relational semantics

W Conradie, A De Domenico, K Manoorkar… - Fuzzy Sets and …, 2024 - Elsevier
The present paper establishes systematic connections among the first-order correspondents
of Sahlqvist modal reduction principles in various relational semantic settings, including …

Syntactic completeness of proper display calculi

J Chen, G Greco, A Palmigiano… - ACM Transactions on …, 2022 - dl.acm.org
A recent strand of research in structural proof theory aims at exploring the notion of analytic
calculi (ie, those calculi that support general and modular proof-strategies for cut …

Slanted canonicity of analytic inductive inequalities

L De Rudder, A Palmigiano - ACM Transactions on Computational Logic …, 2021 - dl.acm.org
We prove an algebraic canonicity theorem for normal LE-logics of arbitrary signature, in a
generalized setting in which the non-lattice connectives are interpreted as operations …

The logic of vague categories

W Conradie, A Palmigiano, C Robinson… - arXiv preprint arXiv …, 2019 - arxiv.org
We introduce a complete many-valued semantics for basic normal lattice-based modal logic.
This relational semantics is grounded on many-valued formal contexts from Formal Concept …

Modelling socio-political competition

W Conradie, A Palmigiano, C Robinson… - Fuzzy Sets and …, 2021 - Elsevier
This paper continues the investigation of the logic of competing theories (be they scientific,
social, political etc.) initiated in [4]. We introduce a many-valued, multi-type modal language …

Modelling competing theories

W Conradie, A Craig, A Palmigiano… - arXiv preprint arXiv …, 2019 - arxiv.org
We introduce a complete many-valued semantics for two normal lattice-based modal logics.
This semantics is based on reflexive many-valued graphs. We discuss an interpretation and …

Description Logic for Rough Concepts

KB Manoorkar, A De Domenico… - … Joint Conference on …, 2024 - Springer
Rough concepts have been introduced in in the context of a mathematical framework
unifying Rough Set Theory (RST) and Formal Concept Analysis (FCA). Algebraically, the …

Unified inverse correspondence for LE-logics

A Palmigiano, M Panettiere - arXiv preprint arXiv:2405.01262, 2024 - arxiv.org
We generalize Kracht's theory of internal describability from classical modal logic to the
family of all logics canonically associated with varieties of normal lattice expansions (LE …