Algebraic closure in continuous logic.
Henson, C.Ward, Tellez, Hernando (2007)
Revista Colombiana de Matemáticas
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Henson, C.Ward, Tellez, Hernando (2007)
Revista Colombiana de Matemáticas
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Ognjanović, Zoran, Marković, Zoran, Rašković, Miodrag (2005)
Publications de l'Institut Mathématique. Nouvelle Série
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Zoran Ognjanović, Miodrag Rašković, Zoran Marković (2009)
Zbornik Radova
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Vladimir Ristić (2009)
Kragujevac Journal of Mathematics
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Mariusz Giero (2012)
Formalized Mathematics
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This is a preliminary article to prove the completeness theorem of an extension of basic propositional temporal logic. We base it on the proof of completeness for basic propositional temporal logic given in [12]. We introduce n-ary connectives and prove their properties. We derive temporal logic formulas.
de Paiva, Valeria, Ritter, Eike (2006)
Theory and Applications of Categories [electronic only]
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Marta Bílková (2001)
Commentationes Mathematicae Universitatis Carolinae
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We study relations between propositional Monotone Sequent Calculus (MLK --- also known as Geometric Logic) and Resolution with respect to the complexity of proofs, namely to the concept of the polynomial simulation of proofs. We consider Resolution on sets of monochromatic clauses. We prove that there exists a polynomial simulation of proofs in MLK by intuitionistic proofs. We show a polynomial simulation between proofs from axioms in MLK and corresponding proofs of contradiction (refutations)...
Buşneag, Dumitru, Piciu, Dana (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Mariusz Giero (2012)
Formalized Mathematics
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This is a second preliminary article to prove the completeness theorem of an extension of basic propositional temporal logic. We base it on the proof of completeness for basic propositional temporal logic given in [17]. We introduce two modified definitions of a subformula. In the former one we treat until-formula as indivisible. In the latter one, we extend the set of subformulas of until-formulas by a special disjunctive formula. This is needed to construct a temporal model. We also...