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- Afshari, Bahareh,1981Gothenburg University,Göteborgs universitet,Institutionen för filosofi, lingvistik och vetenskapsteori,Department of Philosophy, Linguistics and Theory of Science (author)
Uniform Interpolation from Cyclic Proofs: The Case of Modal Mu-Calculus
- Article/chapterEnglish2021
Publisher, publication year, extent ...
- 2021-08-30
- Cham :Springer,2021
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- LIBRIS-ID:oai:gup.ub.gu.se/309546
- https://gup.ub.gu.se/publication/309546URI
- https://doi.org/10.1007/978-3-030-86059-2_20DOI
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- Language:English
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Notes
- We show how to construct uniform interpolants in the context of the modal mu-calculus. D’Agostino and Hollenberg (2000) were the first to prove that this logic has the uniform interpolation property, employing a combination of semantic and syntactic methods. This article outlines a purely proof-theoretic approach to the problem based on insights from the cyclic proof theory of mu-calculus. We argue the approach has the potential to lend itself to other temporal and fixed point logics.
Subject headings and genre
- NATURVETENSKAP Data- och informationsvetenskap Datavetenskap hsv//swe
- NATURAL SCIENCES Computer and Information Sciences Computer Sciences hsv//eng
- NATURVETENSKAP Matematik Algebra och logik hsv//swe
- NATURAL SCIENCES Mathematics Algebra and Logic hsv//eng
- Cyclic proofs
- Modal mu-calculus
- Sequent calculus
- Uniform interpolation
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- Leigh, Graham E.,1983Gothenburg University,Göteborgs universitet,Institutionen för filosofi, lingvistik och vetenskapsteori,Department of Philosophy, Linguistics and Theory of Science(Swepub:gu)xleigr (author)
- Menéndez Turata, Guillermo (author)
- Göteborgs universitetInstitutionen för filosofi, lingvistik och vetenskapsteori (creator_code:org_t)
Related titles
- In:Automated Reasoning with Analytic Tableaux and Related Methods, 30th International Conference, TABLEAUX 2021, Birmingham, UK, September 6–9, 2021, Proceedings / Anupam Das, Sara Negri (eds.)Cham : Springer0302-97431611-33499783030860585
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