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The Basic Constructive Logic for Absolute Consistency

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Abstract

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.

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References

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Authors and Affiliations

  1. Universidad de Salamanca, Campus Unamuno, Edificio FES, 37007, Salamanca, Spain

    José M. Méndez

  2. Dpto. de Historia y Filosofía de la CC, la Ed. y el Leng, Facultad de Filosofía, Universidad de La Laguna, Campus de Guajara, 38071, La Laguna, Tenerife, Spain

    Gemma Robles

Authors
  1. José M. Méndez
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  2. Gemma Robles
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Correspondence to José M. Méndez.

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Méndez, J.M., Robles, G. The Basic Constructive Logic for Absolute Consistency. J of Log Lang and Inf 18, 199–216 (2009). https://doi.org/10.1007/s10849-008-9077-2

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  • DOI: https://doi.org/10.1007/s10849-008-9077-2

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