We introduce transformations between hypersequent rules with context restrictions and Hilbert axioms extending classical (and intuitionistic) propositional logic and vice versa. The introduced rules are used to prove uniform cut elimination, decidability and complexity results as well as finite axiomatisations for many modal logics given by simple frame properties. Our work subsumes many logic-tailored results and allows for new results. As a case study we apply our methods to the logic of uniform deontic frames. © 2014 Springer International Publishing Switzerland.
CITATION STYLE
Lellmann, B. (2014). Axioms vs hypersequent rules with context restrictions: Theory and applications. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8562 LNAI, pp. 307–321). Springer Verlag. https://doi.org/10.1007/978-3-319-08587-6_23
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