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Algebraic Characterizations for Universal Fragments of Logic
Mathematical Logic Quarterly, 1999AbstractIn this paper we address our efforts to extend the well‐known connection in equational logic between equational theories and fully invariant congruences to other–possibly infinitary–logics. In the special case of algebras, this problem has been formerly treated by H. J. Hoehnke [10] and R. W. Quackenbush [14].
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THE RELEVANT FRAGMENT OF FIRST ORDER LOGIC
The Review of Symbolic Logic, 2015AbstractUnder a proper translation, the languages of propositional (and quantified relevant logic) with an absurdity constant are characterized as the fragments of first order logic preserved under (world-object) relevant directed bisimulations. Furthermore, the properties of pointed models axiomatizable by sets of propositional relevant formulas have ...
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Lattice logic as a fragment of (2-sorted) residuated modal logic
Journal of Applied Non-Classical Logics, 2018ABSTRACTCorrespondence and Shalqvist theories for Modal Logics rely on the simple observation that a relational structure F=(W,R) is at the same time the basis for a model of modal logic and for a model of first-order logic with a binary predicate for the accessibility relation.
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On Constructive Fragments of Classical Logic
2014In the late twenties and early thirties of the last century several results were obtained concerning relations between classical logic (CL) and intuitionistic logic. Glivenko, Kolmogorov, Godel, Gentzen and Kuroda, this last appeared in 1950, provided well-known interpretations of classical logic into intuitionistic logic, in this way transferring ...
Luiz Carlos Pereira +1 more
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Logical Fragments in Ibn Khaldūn’s Muqaddimah
2008H.P. van Ditmarsch Abstract In this short contribution we briefly present life and times of Ibn Khaldūn, his magistral accomplishment in the Muqaddimah, and present Muqaddimah fragments related to logic and epistemology from the perspective of modern modal logic.
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Molecules with a sense of logic: a progress report
Chemical Society Reviews, 2015Joakim Andréasson, Uwe Pischel
exaly
Tribotronic Logic Circuits and Basic Operations
Advanced Materials, 2015Chi Zhang, Zhong Lin Wang
exaly

