Non-normal modal logics: Bi-neighbourhood semantics and its labelled calculi

T Dalmonte, N Olivetti, S Negri - Advances in Modal Logic 2018, 2018 - hal.science
The classical cube of non-normal modal logics is considered, and an alternative
neighbourhood semantics is given in which worlds are equipped with sets of pairs of …

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 …

Logics for rough concept analysis

G Greco, P Jipsen, K Manoorkar, A Palmigiano… - Logic and Its …, 2019 - Springer
Taking an algebraic perspective on the basic structures of Rough Concept Analysis as the
starting point, in this paper we introduce some varieties of lattices expanded with normal …

Algebraic proof theory for LE-logics

G Greco, P Jipsen, F Liang, A Palmigiano… - ACM Transactions on …, 2024 - dl.acm.org
In this article, we extend the research programme in algebraic proof theory from axiomatic
extensions of the full Lambek calculus to logics algebraically captured by certain varieties of …

Non-normal modal logics and conditional logics: Semantic analysis and proof theory

J Chen, G Greco, A Palmigiano, A Tzimoulis - Information and Computation, 2022 - Elsevier
We introduce proper display calculi for basic monotonic modal logic, the conditional logic
CK and a number of their axiomatic extensions. These calculi are sound, complete …

Proper multi-type display calculi for rough algebras

G Greco, F Liang, K Manoorkar, A Palmigiano - Electronic Notes in …, 2019 - Elsevier
In the present paper, we endow the logics of topological quasi Boolean algebras,
topological quasi Boolean algebras 5, intermediate algebras of types 1-3, and pre-rough …

Algebraic semantics for quasi-Nelson logic

F Liang, T Nascimento - … Workshop on Logic, Language, Information, and …, 2019 - Springer
Quasi-Nelson logic is a generalization of Nelson logic in the sense that the negation is not
necessary involutive. In this paper, we give a Hilbert-style presentation QN of quasi-Nelson …

Non normal logics: semantic analysis and proof theory

J Chen, G Greco, A Palmigiano, A Tzimoulis - … Language, Information, and …, 2019 - Springer
We introduce proper display calculi for basic monotonic modal logic, the conditional logic
CK and a number of their axiomatic extensions. These calculi are sound, complete …

Linear logic properly displayed

G Greco, A Palmigiano - ACM Transactions on Computational Logic, 2023 - dl.acm.org
We introduce proper display calculi for intuitionistic, bi-intuitionistic and classical linear
logics with exponentials, which are sound, complete, conservative, and enjoy cut elimination …

Vector spaces as Kripke frames

G Greco, F Liang, M Moortgat, A Palmigiano… - arXiv preprint arXiv …, 2019 - arxiv.org
In recent years, the compositional distributional approach in computational linguistics has
opened the way for an integration of the\emph {lexical} aspects of meaning into Lambek's …