David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Philosophical Logic 36 (5):557 - 570 (2007)
Two consecution calculi are introduced: one for the implicational fragment of the logic of entailment with truth and another one for the disjunction free logic of nondistributive relevant implication. The proof technique-attributable to Gentzen-that uses a double induction on the degree and on the rank of the cut formula is shown to be insufficient to prove admissible various forms of cut and mix in these calculi. The elimination theorem is proven, however, by augmenting the earlier double inductive proof with additional inductions. We also give a new purely inductive proof of the cut theorem for the original single cut rule in Gentzen's sequent calculus LK without any use of mix
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
H. E. Baber (1987). How Bad Is Rape? Hypatia 2 (2):125-138.
P. X. Monaghan (2010). A Novel Interpretation of Plato's Theory of Forms. Metaphysica 11 (1):63-78.
J. L. Schellenberg (2005). The Hiddenness Argument Revisited. Religious Studies 41 (3):287-303.
H. M. Malm (1989). Commodification or Compensation: A Reply to Ketchum. Hypatia 4 (3):128-135.
Peter J. Taylor (1994). Shifting Frames: From Divided to Distributed Psychologies of Scientific Agents. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:304-310.
Tang Yijie & Yan Xin (2008). The Contemporary Significance of Confucianism. Frontiers of Philosophy in China 3 (4):477-501.
Dale Hample, Bing Han & David Payne (2010). The Aggressiveness of Playful Arguments. Argumentation 24 (4):405-421.
Robert Batterman (1992). Quantum Chaos and Semiclassical Mechanics. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:50-65.
Added to index2011-05-29
Total downloads8 ( #317,106 of 1,780,627 )
Recent downloads (6 months)1 ( #290,888 of 1,780,627 )
How can I increase my downloads?