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 Page 1 New Foundations for the Proof Theory of Bi-Intuitionistic and Provability Logics …
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 …
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 …
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 …
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 …
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 …
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 …
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 …