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On the existence of continua of logics between some intermediate predicate logics
Studia Logica 64 (2):257-270 (2000)
Abstract
A method for constructing continua of logics squeezed between some intermediate predicate logics, developed by Suzuki [8], is modified and applied to intervals of the form [L, L+ ¬¬S], where Lis a predicate logic, Sis a closed predicate formula. This solves one of the problems from Suzuki's paper.My notes
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References found in this work
Presheaf semantics and independence results for some non-classical first-order logics.Silvio Ghilardi - 1989 - Archive for Mathematical Logic 29 (2):125-136.
Applications of trees to intermediate logics.Dov M. Gabbay - 1972 - Journal of Symbolic Logic 37 (1):135-138.
Axiomatization of the First‐Order Intermediate Logics of Bounded Kripkean Heights I.Shin'ichi Yokota - 1989 - Mathematical Logic Quarterly 35 (5):415-421.
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