Errata Corrige to “Pragmatic and dialogic interpretation of bi-intuitionism. Part I”

Gianluigi Bellin, Massimiliano Carrara, Daniele Chiffi, Alessandro Menti

DOI: http://dx.doi.org/10.12775/LLP.2015.005

Abstract


The goal of [3] is to sketch the construction of a syntactic categorical model of the bi-intuitionistic logic of assertions and hypotheses AH, axiomatized in a sequent calculus AH-G1, and to show that such a model has a chirality-like structure inspired by the notion of dialogue chirality by P-A. Melliès [8]. A chirality consists of a pair of adjoint functors L R, with L: A → B, R: B → A, and of a functor (.)* : A → Bop(0,1) satisfying certain conditions. The definition of the logic AH in [3] needs to be modified so that our categories A and B are actually dual. With this modification, a more complex structure emerges.


Keywords


bi-intuitionism; categorical proof theory; justificationism; meaning-as-use; speech-acts theory

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References


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