A paraconsistent route to semantic closure

作者:Alejandro Barrio Eduardo; Matias Pailos Federico; Enrique Szmuc Damian
来源:Logic Journal of the IGPL, 2017, 25(4): 387-407.
DOI:10.1093/jigpal/jzx009

摘要

In this article, we present a non-trivial and expressively complete paraconsistent naive theory of truth, as a step in the route towards semantic closure. We achieve this goal by expressing self-reference with a weak procedure, that uses equivalences between expressions of the language, as opposed to a strong procedure, that uses identities. Finally, we make some remarks regarding the sense in which the theory of truth discussed has a property closely related to functional completeness, and we present a sound and complete three-sided sequent calculus for this expressively rich theory.

  • 出版日期2017-8