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Semi-intuitionistic Logic
Studia Logica 98 (1-2):9-25 (2011)
Abstract
The purpose of this paper is to define a new logic $${\mathcal {SI}}$$ called semi-intuitionistic logic such that the semi-Heyting algebras introduced in [ 4 ] by Sankappanavar are the semantics for $${\mathcal {SI}}$$ . Besides, the intuitionistic logic will be an axiomatic extension of $${\mathcal {SI}}$$My notes
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Citations of this work
A Logic for Dually Hemimorphic Semi-Heyting Algebras and its Axiomatic Extensions.Juan Manuel Cornejo & Hanamantagouda P. Sankappanavar - 2022 - Bulletin of the Section of Logic 51 (4):555-645.
On Some Semi-Intuitionistic Logics.Juan M. Cornejo & Ignacio D. Viglizzo - 2015 - Studia Logica 103 (2):303-344.
Semi-intuitionistic Logic with Strong Negation.Juan Manuel Cornejo & Ignacio Viglizzo - 2018 - Studia Logica 106 (2):281-293.
Gentzen-Style Sequent Calculus for Semi-intuitionistic Logic.Diego Castaño & Juan Manuel Cornejo - 2016 - Studia Logica 104 (6):1245-1265.
Free‐decomposability in varieties of semi‐Heyting algebras.Manuel Abad, Juan Manuel Cornejo & Patricio Díaz Varela - 2012 - Mathematical Logic Quarterly 58 (3):168-176.
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