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A weak intuitionistic propositional logic with purely constructive implication
Studia Logica 46 (4):371 - 382 (1987)
Abstract
We introduce subsystems WLJ and SI of the intuitionistic propositional logic LJ, by weakening the intuitionistic implication. These systems are justifiable by purely constructive semantics. Then the intuitionistic implication with full strength is definable in the second order versions of these systems. We give a relationship between SI and a weak modal system WM. In Appendix the Kripke-type model theory for WM is given.Author's Profile
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Citations of this work
Avicenna on Syllogisms Composed of Opposite Premises.Behnam Zolghadr - 2021 - In Mojtaba Mojtahedi, Shahid Rahman & MohammadSaleh Zarepour (eds.), Mathematics, Logic, and their Philosophies: Essays in Honour of Mohammad Ardeshir. Springer. pp. 433-442.
On a Generalization of Heyting Algebras I.Amirhossein Akbar Tabatabai, Majid Alizadeh & Masoud Memarzadeh - forthcoming - Studia Logica:1-45.
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