Tense logics based on posets
| Authors | |
|---|---|
| Year of publication | 2025 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Logic and Computation |
| MU Faculty or unit | |
| Citation | |
| web | https://doi.org/10.1093/logcom/exae081 |
| Doi | http://dx.doi.org/10.1093/logcom/exae081 |
| Keywords | poset; orthomodular poset; Dedekind-MacNeille completion; implication; adjoint operator; adjoint pair; tense operator; tense logic |
| Description | Quantum mechanics, initially formalized with orthomodular lattices, benefits from a simpler approach using just partially ordered sets (posets). This paper explores how logical connectives are introduced in poset-based logics. Building on prior work by the authors, we delve deeper into 'dynamic' logics where truth values can change over time. We consider time sets with a preference relation and propositions whose truth depends on time. Tense operators, introduced by J.Burgess and extended for various logics, become a valuable tool. This paper proposes several approaches to this topic, aiming to inspire a further stream of research. |
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