A Framework for Intuitionistic Grammar Logics
Research output: Contribution to book/Conference proceedings/Anthology/Report › Conference contribution › Contributed › peer-review
Contributors
Abstract
We generalize intuitionistic tense logics to the multi-modal case by placing grammar logics on an intuitionistic footing. We provide axiomatizations for a class of base intuitionistic grammar logics as well as provide axiomatizations for extensions with combinations of seriality axioms and what we call intuitionistic path axioms. We show that each axiomatization is sound and complete with completeness being shown via a typical canonical model construction.
Details
| Original language | English |
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| Title of host publication | Logic and Argumentation - 4th International Conference, CLAR 2021, Proceedings |
| Editors | Pietro Baroni, Christoph Benzmüller, Yì N. Wáng |
| Publisher | Springer International Publishing AG |
| Pages | 495-503 |
| Number of pages | 9 |
| Volume | 13040 |
| Publication status | Published - 1 Oct 2021 |
| Peer-reviewed | Yes |
External IDs
| Scopus | 85118169768 |
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| ORCID | /0000-0003-3214-0828/work/142249488 |
Keywords
ASJC Scopus subject areas
Keywords
- Bi-relational model, Completeness, Context-free, Converse, Grammar logic, Intuitionistic logic, Modal logic, Path axiom