Towards a Semantic Characterization of Cut-Elimination

Studia Logica 82 (1):95-119 (2006)
  Copy   BIBTEX

Abstract

We introduce necessary and sufficient conditions for a (single-conclusion) sequent calculus to admit (reductive) cut-elimination. Our conditions are formulated both syntactically and semantically.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,202

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

A Simple Proof that Super-Consistency Implies Cut Elimination.Gilles Dowek & Olivier Hermant - 2012 - Notre Dame Journal of Formal Logic 53 (4):439-456.
Cut-Elimination: Syntax and Semantics.M. Baaz & A. Leitsch - 2014 - Studia Logica 102 (6):1217-1244.
Weak elimination of imaginaries for Boolean algebras.Roman Wencel - 2005 - Annals of Pure and Applied Logic 132 (2-3):247-270.
The Hauptsatz for Stratified Comprehension: A Semantic Proof.Marcel Crabbé - 1994 - Mathematical Logic Quarterly 40 (4):481-489.
Non-effective Quantifier Elimination.Mihai Prunescu - 2001 - Mathematical Logic Quarterly 47 (4):557-562.
The elimination argument.Andrew M. Bailey - 2014 - Philosophical Studies 168 (2):475-482.
Unifiability in extensions of K4.Çiğdem Gencer & Dick de Jongh - 2009 - Logic Journal of the IGPL 17 (2):159-172.

Analytics

Added to PP
2009-01-28

Downloads
44 (#343,283)

6 months
6 (#417,196)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Sentence connectives in formal logic.Lloyd Humberstone - forthcoming - Stanford Encyclopedia of Philosophy.
New Consecution Calculi for R→t.Katalin Bimbó & J. Michael Dunn - 2012 - Notre Dame Journal of Formal Logic 53 (4):491-509.
Sufficient conditions for cut elimination with complexity analysis.João Rasga - 2007 - Annals of Pure and Applied Logic 149 (1-3):81-99.

View all 6 citations / Add more citations