Unified correspondence as a proof-theoretic tool

G Greco, M Ma, A Palmigiano… - Journal of Logic and …, 2018 - academic.oup.com
The present article aims at establishing formal connections between correspondence
phenomena, well known from the area of modal logic, and the theory of display calculi …

[HTML][HTML] Fuzzy logic

P Cintula, CG Fermüller, C Noguera - 2016 - plato.stanford.edu
Fuzzy logic is intended to model logical reasoning with vague or imprecise statements like
“Petr is young (rich, tall, hungry, etc.)”. It refers to a family of many-valued logics, where the …

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 …

[图书][B] Logic and implication

P Cintula, C Noguera - 2021 - Springer
This research monograph presents our approach to the general algebraic study of non-
classical logics. More precisely, it offers a systematic study of weakly implicative logics, a …

Finite-valued semantics for canonical labelled calculi

M Baaz, O Lahav, A Zamansky - Journal of Automated Reasoning, 2013 - Springer
We define a general family of canonical labelled calculi, of which many previously studied
sequent and labelled calculi are particular instances. We then provide a uniform and …

Distributive residuated frames and generalized bunched implication algebras

N Galatos, P Jipsen - Algebra universalis, 2017 - Springer
We show that all extensions of the (non-associative) Gentzen system for distributive full
Lambek calculus by simple structural rules have the cut elimination property. Also …

The logic of resources and capabilities

M Bílková, G Greco, A Palmigiano… - The Review of …, 2018 - cambridge.org
We introduce the logic LRC, designed to describe and reason about agents' abilities and
capabilities in using resources. The proposed framework bridges two—up to now—mutually …

Defining Logical Systems via Algebraic Constraints on Proofs

AV Gheorghiu, DJ Pym - Journal of Logic and Computation, 2023 - academic.oup.com
We present a comprehensive programme analysing the decomposition of proof systems for
non-classical logics into proof systems for other logics, especially classical logic, using an …

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 …

Power and limits of structural display rules

A Ciabattoni, R Ramanayake - ACM Transactions on Computational …, 2016 - dl.acm.org
What can (and cannot) be expressed by structural display rules? Given a display calculus,
we present a systematic procedure for transforming axioms into structural rules. The …