Journal of Logic, Language and Information

, Volume 18, Issue 2, pp 199–216

The Basic Constructive Logic for Absolute Consistency


DOI: 10.1007/s10849-008-9077-2

Cite this article as:
Méndez, J.M. & Robles, G. J of Log Lang and Inf (2009) 18: 199. doi:10.1007/s10849-008-9077-2


In this paper, consistency is understood as absolute consistency (i.e. non-triviality). The basic constructive logic BKc6, which is adequate to this sense of consistency in the ternary relational semantics without a set of designated points, is defined. Then, it is shown how to define a series of logics by extending BKc6 up to contractionless intuitionistic logic. All logics defined in this paper are paraconsistent logics.


Constructive negation Substructural logics Ternary relational semantics Paraconsistent logic 

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Universidad de SalamancaSalamancaSpain
  2. 2.Dpto. de Historia y Filosofía de la CC, la Ed. y el Leng, Facultad de FilosofíaUniversidad de La LagunaLa Laguna, TenerifeSpain

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