Proof Theory for Modal Logic
Philosophy Compass 6 (8):523-538 (2011)
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Patrick Blackburn (2001). Modal Logic as Dialogical Logic. Synthese 127 (1-2):57 - 93.
George Boolos (1979). The Unprovability of Consistency: An Essay in Modal Logic. Cambridge University Press.
Sara Negri (2011). Proof Analysis: A Contribution to Hilbert's Last Problem. Cambridge University Press.
Sara Negri (2005). Proof Analysis in Modal Logic. Journal of Philosophical Logic 34 (5-6):507 - 544.
H. Kushida & M. Okada (2003). A Proof-Theoretic Study of the Correspondence of Classical Logic and Modal Logic. Journal of Symbolic Logic 68 (4):1403-1414.
Pavel Hrubeš (2007). Lower Bounds for Modal Logics. Journal of Symbolic Logic 72 (3):941-958.
Paolo Gentilini (1993). Syntactical Results on the Arithmetical Completeness of Modal Logic. Studia Logica 52 (4):549 - 564.
Dick Jongh, Marc Jumelet & Franco Montagna (1991). On the Proof of Solovay's Theorem. Studia Logica 50 (1):51 - 69.
Sally Popkorn (1994). First Steps in Modal Logic. Cambridge University Press.
George Boolos (1993). The Logic of Provability. Cambridge University Press.
Tapio Korte, Ari Maunu & Tuomo Aho (2009). Modal Logic From Kant to Possible Worlds Semantics. In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press.
A. S. Troelstra (2000). Basic Proof Theory. Cambridge University Press.
George Tourlakis (2010). On the Proof-Theory of Two Formalisations of Modal First-Order Logic. Studia Logica 96 (3):349-373.
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