On the Paraconsistent Logic CG′3

Authors

  • Miguel Pérez-Gaspar Universidad Nacional Autónoma de México
  • Verónica Borja-Macías Universidad Tecnológica de la Mixteca
  • Everardo Barcenas Universidad Nacional Autónoma de México

DOI:

https://doi.org/10.13053/cys-25-2-3363

Keywords:

Many-valued logic, paraconsistent logic, Kripke-type semantics, Hilbert calculi, CG'3

Abstract

Paraconsistent logical systems are well-known reasoning frameworks aimed to infer new facts or properties under contradictory assumptions. Applications of these systems are well known in wide range of computer science domains. In this article, we study the paraconsistent logic CG′3, which can be viewed as an extension of the logic G′3. CG′3 is also 3-valued, but with two designated values. Main results can be summarized as follows: a Hilbert-type axiomatization, based on Kalmár’s approach; and a new notion of validity, based on also novel Kripke semantics.

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Published

2021-05-01

Issue

Vol. 25 No. 2 (2021): 25(2) 2021

Section

Report on PhD Thesis

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