Proof Theory for Modal Logic

Philosophy Compass 6 (8):523-538 (2011)
Abstract
The axiomatic presentation of modal systems and the standard formulations of natural deduction and sequent calculus for modal logic are reviewed, together with the difficulties that emerge with these approaches. Generalizations of standard proof systems are then presented. These include, among others, display calculi, hypersequents, and labelled systems, with the latter surveyed from a closer perspective.
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DOI 10.1111/j.1747-9991.2011.00418.x
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References found in this work BETA
Modal Logic.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2002 - Cambridge University Press.
Basic Proof Theory.A. S. Troelstra - 2000 - Cambridge University Press.
The Mathematics of Metamathematics.Helena Rasiowa - 1963 - Warszawa, Państwowe Wydawn. Naukowe.

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Citations of this work BETA
Vagueness: Subvaluationism.Pablo Cobreros - 2013 - Philosophy Compass 8 (5):472-485.
Proof Analysis in Intermediate Logics.Roy Dyckhoff & Sara Negri - 2012 - Archive for Mathematical Logic 51 (1-2):71-92.
Proofs and Countermodels in Non-Classical Logics.Sara Negri - 2014 - Logica Universalis 8 (1):25-60.

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Similar books and articles
Proof Theory of Modal Logic.H. Wansing (ed.) - 1996 - Kluwer Academic Publishers.
Modal Logic as Dialogical Logic.Patrick Blackburn - 2001 - Synthese 127 (1-2):57 - 93.
Lower Bounds for Modal Logics.Pavel Hrubeš - 2007 - Journal of Symbolic Logic 72 (3):941 - 958.
First Steps in Modal Logic.Sally Popkorn - 1994 - Cambridge University Press.
Basic Proof Theory.A. S. Troelstra - 2000 - Cambridge University Press.

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