Dahlqvist, F;
Pym, D;
(2017)
Coalgebraic completeness-via-canonicity for distributive substructural logics.
Journal of Logical and Algebraic Methods in Programming
, 93
pp. 1-22.
10.1016/j.jlamp.2017.07.002.
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Abstract
We prove strong completeness of a range of substructural logics with respect to a natural poset-based relational semantics using a coalgebraic version of completeness-via-canonicity. By formalizing the problem in the language of coalgebraic logics, we develop a modular theory which covers a wide variety of different logics under a single framework, and lends itself to further extensions. Moreover, we believe that the coalgebraic framework provides a systematic and principled way to study the relationship between resource models on the semantics side, and substructural logics on the syntactic side.
| Type: | Article |
|---|---|
| Title: | Coalgebraic completeness-via-canonicity for distributive substructural logics |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.jlamp.2017.07.002 |
| Publisher version: | https://doi.org/10.1016/j.jlamp.2017.07.002 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Completeness, Canonicity, Coalgebraic logic, Substructural logic, Resource modelling, Separation logic |
| 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.ucl.ac.uk/id/eprint/10045065 |
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