Note on intersections of maximal clones.
Doroslovački, Rade, Pantović, Jovanka, Vojvodić, Gradimir (1999)
Novi Sad Journal of Mathematics
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Doroslovački, Rade, Pantović, Jovanka, Vojvodić, Gradimir (1999)
Novi Sad Journal of Mathematics
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Lidia Typańska-Czajka (2019)
Bulletin of the Section of Logic
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The only maximal extension of the logic of relevant entailment E is the classical logic CL. A logic L ⊆ [E,CL] called pre-maximal if and only if L is a coatom in the interval [E,CL]. We present two denumerable infinite sequences of premaximal extensions of the logic E. Note that for the relevant logic R there exist exactly three pre-maximal logics, i.e. coatoms in the interval [R,CL].
Doroslovački, Rade, Pantović, Jovanka, Tošić, Ratko, Vojvodić, Gradimir (1999)
Novi Sad Journal of Mathematics
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Roy O. Davies, Ivo G. Rosenberg (1985)
Colloquium Mathematicae
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Haddad, Lucien, Lau, Dietlinde (2000)
Beiträge zur Algebra und Geometrie
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Erkko Lehtonen, Ágnes Szendrei (2010)
Discussiones Mathematicae - General Algebra and Applications
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For each clone C on a set A there is an associated equivalence relation analogous to Green's R-relation, which relates two operations on A if and only if each one is a substitution instance of the other using operations from C. We study the maximal and submaximal clones on a three-element set and determine which of them have only finitely many relative R-classes.
Antonio Vera López, Gustavo A. Fernández Alcober (1989)
Extracta Mathematicae
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H. Länger (1978)
Fundamenta Mathematicae
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Carlo Sbordone, Ingemar Wik (1994)
Publicacions Matemàtiques
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The famous result of Muckenhoupt on the connection between weights w in A-classes and the boundedness of the maximal operator in L(w) is extended to the case p = ∞ by the introduction of the geometrical maximal operator. Estimates of the norm of the maximal operators are given in terms of the A-constants. The equality of two differently defined A-constants is proved. Thereby an answer is given to a question posed by R. Johnson. For non-increasing functions on the positive real line a...
Frank Terpe (1971)
Colloquium Mathematicae
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J. W. Bebernes, Steven K. Ingram (1971)
Annales Polonici Mathematici
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Chris Brink (1993)
Banach Center Publications
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The purpose of this note is to show that a known and natural four-valued logic co-exists with classical two-valued logic in the familiar context of truth tables. The tool required is the power construction.
Reiner Hähnle, Gonzalo Escalada-Imaz (1997)
Mathware and Soft Computing
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Ton Sales (1994)
Mathware and Soft Computing
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Logic and Probability, as theories, have been developed quite independently and, with a few exceptions (like Boole's), have largely ignored each other. And nevertheless they share a lot of similarities, as well a considerable common ground. The exploration of the shared concepts and their mathematical treatment and unification is here attempted following the lead of illustrious researchers (Reichenbach, Carnap, Popper, Gaifman, Scott & Krauss, Fenstad, Miller, David Lewis, Stalnaker,...