L-fuzzy relational mathematical morphology based on adjoint triples

N Madrid, M Ojeda-Aciego, J Medina, I Perfilieva - Information Sciences, 2019 - Elsevier
We propose an alternative to the standard structure of L-fuzzy Mathematical Morphology
(MM) by, on the one hand, considering L-fuzzy relations as structuring elements and, on the …

A family of decidable bi-intuitionistic modal logics

D Fernández-Duque, B McLean… - Proceedings of the …, 2023 - biblio.ugent.be
We investigate intuitionistic logics extended both with the co-implication connective of
Hilbert-Brouwer logic and with diamond and box modalities. We use a Kripke semantics …

New Foundations for the Proof Theory of Bi-Intuitionistic and Provability Logics Mechanized in Coq

I Shillito - 2022 - search.proquest.com
New Foundations for the Proof Theory of Bi-Intuitionistic and Provability Logics Mechanized in
Coq Page 1 New Foundations for the Proof Theory of Bi-Intuitionistic and Provability Logics …

Strong completeness and the finite model property for bi-intuitionistic stable tense logics

K Sano, JG Stell - arXiv preprint arXiv:1703.02198, 2017 - arxiv.org
Bi-Intuitionistic Stable Tense Logics (BIST Logics) are tense logics with a Kripke semantics
where worlds in a frame are equipped with a pre-order as well as with an accessibility …

Modal intuitionistic logics as dialgebraic logics

J de Groot, D Pattinson - Proceedings of the 35th Annual ACM/IEEE …, 2020 - dl.acm.org
Duality is one of the key techniques in the categorical treatment of modal logics. From the
duality between (modal) algebras and (descriptive) frames one derives eg completeness …

Three faces of recursion axioms: the case of constructive dynamic logic of relation changers

R Hatano, K Sano - Journal of Logic and Computation, 2023 - academic.oup.com
This paper proposes an intuitionistic generalization of van Benthem and Liu's dynamic logic
of relation changers, where relation changers are dynamic operators that rewrite each …

Taking Bi-Intuitionistic Logic First-Order: A Proof-Theoretic Investigation via Polytree Sequents

TS Lyon, I Shillito, A Tiu - arXiv preprint arXiv:2404.15855, 2024 - arxiv.org
It is well-known that extending the Hilbert axiomatic system for first-order intuitionistic logic
with an exclusion operator, that is dual to implication, collapses the domains in the model …

[PDF][PDF] The logic of discrete qualitative relations

G Sindoni, JG Stell - … on Spatial Information Theory (COSIT 2017 …, 2017 - drops.dagstuhl.de
We consider a modal logic based on mathematical morphology which allows the expression
of mereotopological relations between subgraphs in the setting of the discrete space. A …

Intuitionistic Public Announcement Logic with Distributed Knowledge

R Murai, K Sano - Studia Logica, 2024 - Springer
We develop intuitionistic public announcement logic over intuitionistic K, KT, K 4, and S 4
with distributed knowledge. We reveal that a recursion axiom for the distributed knowledge …

Expressing discrete spatial relations under granularity

G Sindoni, K Sano, JG Stell - Journal of Logical and Algebraic Methods in …, 2021 - Elsevier
The logic UBiSKt is a bi-intuitionistic modal logic with universal modalities having a
semantics in which formulae are interpreted as subgraphs. We use the logic to formalize the …