Lang, Timo;
(2023)
Some Analytic Systems of Rules.
In: Ramanayake, Revantha and Urban, Josef, (eds.)
Lecture Notes in Computer Science.
(pp. pp. 94-111).
Springer: Cham, Switzerland.
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Abstract
. We define two simple systems of rules, i.e. calculi with a global condition on the order of rule instances in a proof, for the modal logics of shift-reflexive and Euclidean frames respectively. Cutelimination, and therefore the subformula property, can be derived directly from the cut-elimination property of adjacent logics. We compare our system to the calculus of grafted hypersequents, which has previously been used to capture both logics. We then discuss an attempt to obtain similar ‘modular’ cut-elimination proofs in other systems of rules. This general attempt is carried out for two more logics, namely the modal logic of serial frames and the intermediate logic axiomatised by the law of the weak excluded middle.
| Type: | Proceedings paper |
|---|---|
| Title: | Some Analytic Systems of Rules |
| Event: | Automated Reasoning with Analytic Tableaux and Related Methods |
| Location: | Prague, Czechia |
| Dates: | 18 Sep 2021 - 21 Sep 2021 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/978-3-031-43513-3_6 |
| Publisher version: | https://doi.org/10.1007/978-3-031-43513-3_6 |
| Language: | English |
| Additional information: | Rights and permissions Open Access This chapter is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this chapter are included in the chapter's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the chapter's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10182303 |
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