Bibliographic Details
| Title: |
Intuitionistic monotone modal logic via translation. |
| Authors: |
Groot, Jim de1 (AUTHOR) |
| Source: |
Journal of Logic & Computation. Jun2026, Vol. 36 Issue 4, p1-39. 39p. |
| Subjects: |
Modal logic, Intuitionistic mathematics, First-order logic, Axioms, Kripke semantics |
| Abstract: |
We introduce a monotone modal analogue of the intuitionistic (normal) modal logic |$\textsf{IK}$| using a translation into a suitable (intuitionistic) first-order logic. We axiomatize the logic and give a semantics by means of intuitionistic neighbourhood models, which contain neighbourhoods whose value can change when moving along the intuitionistic accessibility relation. We compare the resulting logic with other intuitionistic monotone modal logics and show how it can be embedded into a multimodal version of |$\textsf{IK}$|. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
