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Intermediate Logic

1997
Abstract Intermediate Logic is an ideal text for anyone who has taken a first course in logic and is progressing to further study. It examines logical theory, rather than the applications of logic, and does not assume any specific technological grounding.
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Omitting Types in an Intermediate Logic

Studia Logica, 2011
The authors prove an omitting-types theorem and one direction of the Ryll-Nardzewski theorem, from classical model theory, for a special intermediate logic, called semi-classical logic (SLC). The semi-classical logic is the logic of the class of linear constant-domain Kripke models with an extra constraint, i.e., every node of the model is identified ...
Bagheri, Seyed-Mohammad   +1 more
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On intermediate propositional logics

Journal of Symbolic Logic, 1959
By intermediate prepositional logics we mean prepositional logics between the intuitionistic and classical logics.K. Gödel [1] proved that there is a set of intermediate prepositional logics which possesses the order type ω. The method enables us to define intermediate logics in terms of axioms and rules of inference.
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Three Intermediate Logics

1981
We saw in previous chapters the following properties of h: (1) h is complete for the class of all finite trees (2) h + is complete for the class of all finite n-ary trees, for any n≥2. (3) h is complete for the infinite full binary tree.
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Frame Based Formulas for Intermediate Logics

Studia Logica, 2008
In the study of propositional logics, particularly of intermediate logics and normal modal logics, the so-called Jankov-de Jongh formulas defined by finite frames have been applied as a powerful tool to many important results in several topics such as axiomatizability, finite model property, splitting, construction of continuum many logics, and so on ...
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On finite approximability of ?-intermediate logics

Studia Logica, 1982
The aim of this note is to show (Theorem 1.6) that in each of the cases: ψ= {→, ∨ }, or {→, ∨, ∧ }, or {→, ∨, ℸ } there are uncountably many ψ-intermediate logics which are not finitely approximable. This result together with the results known in literature allow us to conclude (Theorem 2.2) that for each ψ: either all ψ-intermediate logics are ...
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Hypersequents, logical consequence and intermediate logics for concurrency

Annals of Mathematics and Artificial Intelligence, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Intermediate predicate logic without the beth property

Algebra and Logic, 1998
Previously, the author has proven [Algebra Logika 35, No. 1, 105-117 (1996; Zbl 0897.03022)] that the interpolation property is missing in all predicate superintuitionistic logics which contain the logic \(J^*_{fd}\) (characterized by all Kripke frames whose domains of all nonmaximal worlds are finite) and are contained in a logic specified by all two ...
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One-variable fragments of intermediate logics over linear frames

Information and Computation, 2022
George Metcalfe, Ricardo Oscar Rodriguez
exaly  

Intermediate Logics

2000
Dov M. Gabbay, Nicola Olivetti
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