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.Author's Profile
DOI
10.1111/j.1747-9991.2011.00418.x
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Citations of this work
Capturing naive validity in the Cut-free approach.Eduardo Barrio, Lucas Rosenblatt & Diego Tajer - 2016 - Synthese 199 (Suppl 3):707-723.
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.
References found in this work
Natural Deduction: A Proof-Theoretical Study.Dag Prawitz - 1965 - Stockholm, Sweden: Dover Publications.
Modal Logic: Graph. Darst.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2001 - Cambridge University Press.
