Errata Corrige to “Pragmatic and dialogic interpretation of bi-intuitionism. Part I”
Journal Title: Logic and Logical Philosophy - Year 2016, Vol 25, Issue 2
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.
Authors and Affiliations
Gianluigi Bellin, Alessandro Menti, Massimiliano Carrara, Daniele Chiffi
Keywords
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Errata Corrige to “Pragmatic and dialogic interpretation of bi-intuitionism. Part I”
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...