Unified correspondence as a proof-theoretic tool
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 …
phenomena, well known from the area of modal logic, and the theory of display calculi …
[HTML][HTML] Fuzzy logic
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 …
“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
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 …
distributive logics. The developments we consider are technically rooted in dual …
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 …
sequent and labelled calculi are particular instances. We then provide a uniform and …
Distributive residuated frames and generalized bunched implication algebras
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 …
Lambek calculus by simple structural rules have the cut elimination property. Also …
The logic of resources and capabilities
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 …
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 …
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 …
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 …
we present a systematic procedure for transforming axioms into structural rules. The …