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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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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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On Extensions of Intermediate Logics by Strong Negation

Journal of Philosophical Logic, 1998
The structure \({\mathcal E} {\mathbf N}\) of extensions of Nelson logic \(N\) (intuitionistic logic with strong negation) and its correlations with the structure \({\mathcal E} {\mathbf {Int}}\) of intermediate logics is studied. The mapping from \(\Lambda\) to \(n( \Lambda) = N + \Lambda \) is an embedding of the complete lattice \({\mathcal E ...
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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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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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On logics intermediate between intuitionistic and classical predicate logic

Journal of Symbolic Logic, 1959
In [1] and [2] I investigated logics intermediate between intuitionistic and classical propositional logic. In the present paper I shall study inclusion and non-inclusion between certain intermediate predicate logics. All the logics considered result from intuitionistic predicate logic by addition of classically valid axiom schemes.
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Graded Cube of Opposition with Intermediate Quantifiers in Fuzzy Natural Logic

Communications in Computer and Information Science, 2020
Petra Murinova, Vilém Novak
exaly  

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