Four relevant Gentzen systems

Studia Logica 46 (1):55 - 71 (1987)
This paper is a study of four subscripted Gentzen systems G u R +, G u T +, G u RW + and G u TW +. [16] shows that the first three are equivalent to the semilattice relevant logics u R +, u T + and u RW + and conjectures that G u TW + is, equivalent to u TW +. Here we prove Cut Theorems for these systems, and then show that modus ponens is admissible — which is not so trivial as one normally expects. Finally, we give decision procedures for the contractionless systems, G u TW + and G u RW +.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF00396905
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,756
Through your library
References found in this work BETA
The Collected Papers of Gerhard Gentzen.Gerhard Gentzen - 1969 - Amsterdam: North-Holland Pub. Co..
Display Logic.Nuel D. Belnap - 1982 - Journal of Philosophical Logic 11 (4):375-417.
Gupta's Rule of Revision Theory of Truth.Nuel D. Belnap - 1982 - Journal of Philosophical Logic 11 (1):103-116.
Semantics for Relevant Logics.Alasdair Urquhart - 1972 - Journal of Symbolic Logic 37 (1):159-169.
TW+ and RW+ Are Decidable.Steve Giambrone - 1985 - Journal of Philosophical Logic 14 (3):235 - 254.

View all 9 references / Add more references

Citations of this work BETA
Modal Translations in Substructural Logics.Kosta Došen - 1992 - Journal of Philosophical Logic 21 (3):283 - 336.
Proof Theories for Semilattice Logics.Steve Giambrone & Alasdaire Urquhart - 1987 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 33 (5):433-439.
A Dilemma for Priest's Dialethism?Anthony Everett - 1996 - Australasian Journal of Philosophy 74 (4):657 – 668.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

17 ( #286,848 of 2,177,988 )

Recent downloads (6 months)

1 ( #317,698 of 2,177,988 )

How can I increase my downloads?

My notes
Sign in to use this feature

There  are no threads in this forum
Nothing in this forum yet.

Other forums