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Inference Rules in Nelson’s Logics, Admissibility and Weak Admissibility
Authors
A. Almukdad
D. Nelson
+23 more
E. Jerabek
E. Jerabek
E. Jerabek
E. Jerabek
E. Jerabek
G. Metcalfe
N.N. Vorob’ev
R. Cignoli
R. Iemhoff
R. Iemhoff
R. Routley
R.H. Thomason
S. Babenyshev
S. Babenyshev
S. Ghilardi
S.P. Odintsov
Sergei Odintsov
U. Rivieccio
V.V. Rybakov
V.V. Rybakov
V.V. Rybakov
Vladimir Rybakov
Y. Gurevich
Publication date
4 January 2015
Publisher
'Springer Science and Business Media LLC'
Doi
Cite
Abstract
© 2015, Springer Basel. Our paper aims to investigate inference rules for Nelson’s logics and to discuss possible ways to determine admissibility of inference rules in such logics. We will use the technique offered originally for intuitionistic logic and paraconsistent minimal Johannson’s logic. However, the adaptation is not an easy and evident task since Nelson’s logics do not enjoy replacement of equivalences rule. Therefore we consider and compare standard admissibility and weak admissibility. Our paper founds algorithms for recognizing weak admissibility and admissibility itself – for restricted cases, to show the problems arising in the course of study
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E-space: Manchester Metropolitan University's Research Repository
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oai:e-space.mmu.ac.uk:600915
Last time updated on 02/01/2019
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info:doi/10.1007%2Fs11787-014-...
Last time updated on 04/12/2019