Indexed systems of sequents and cut-elimination

Journal of Philosophical Logic 26 (6):671-696 (1997)
Cut reductions are defined for a Kripke-style formulation of modal logic in terms of indexed systems of sequents. A detailed proof of the normalization (cutelimination) theorem is given. The proof is uniform for the propositional modal systems with all combinations of reflexivity, symmetry and transitivity for the accessibility relation. Some new transformations of derivations (compared to standard sequent formulations) are needed, and some additional properties are to be checked. The display formulations [1] of the systems considered can be presented as encodings of Kripke-style formulations
Keywords Philosophy
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DOI 10.1023/A:1017948105274
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References found in this work BETA
Nuel D. Belnap (1982). Display Logic. Journal of Philosophical Logic 11 (4):375-417.
Saul A. Kripke (1963). Semantical Analysis of Intuitionistic Logic I. In Michael Dummett & J. N. Crossley (eds.), Journal of Symbolic Logic. North Holland 92--130.

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Citations of this work BETA
Sara Negri (2011). Proof Theory for Modal Logic. Philosophy Compass 6 (8):523-538.
Sara Negri (2005). Proof Analysis in Modal Logic. Journal of Philosophical Logic 34 (5/6):507 - 544.

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