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Uniform Interpolati...
Uniform Interpolation from Cyclic Proofs: The Case of Modal Mu-Calculus
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- Afshari, Bahareh, 1981 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för filosofi, lingvistik och vetenskapsteori,Department of Philosophy, Linguistics and Theory of Science
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- Leigh, Graham E., 1983 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för filosofi, lingvistik och vetenskapsteori,Department of Philosophy, Linguistics and Theory of Science
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Menéndez Turata, Guillermo (author)
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(creator_code:org_t)
- 2021-08-30
- 2021
- English.
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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 : Springer. - 0302-9743 .- 1611-3349. - 9783030860585
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Abstract
Subject headings
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- 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
- 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)
Keyword
- Cyclic proofs
- Modal mu-calculus
- Sequent calculus
- Uniform interpolation
Publication and Content Type
- ref (subject category)
- kon (subject category)
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