Connections between cuts and maximum segments
Mirjana Borisavljević (2010)
Kragujevac Journal of Mathematics
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Mirjana Borisavljević (2010)
Kragujevac Journal of Mathematics
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Mirjana Borisavljević (2009)
Publications de l'Institut Mathématique
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Borisavljević, Mirjana (2003)
Publications de l'Institut Mathématique. Nouvelle Série
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Mirjana Borisavljević (2007)
Publications de l'Institut Mathématique
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de Paiva, Valeria, Ritter, Eike (2006)
Theory and Applications of Categories [electronic only]
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Elias Bittar (1999)
Banach Center Publications
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We define an equivalent variant of the Gentzen sequent calculus . In weakenings or contractions can be performed in parallel. This modification allows us to interpret a symmetrical system of mix elimination rules by a finite rewriting system; the termination of this rewriting system can be machine checked. We give also a self-contained strong normalization proof by structural induction. We give another strong normalization proof by a strictly monotone subrecursive interpretation;...
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.
Jȩdrzejewicz, Piotr (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Mariusz Giero (2012)
Formalized Mathematics
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We prove weak (finite set of premises) completeness theorem for extended propositional linear time temporal logic with irreflexive version of until-operator. We base it on the proof of completeness for basic propositional linear time temporal logic given in [20] which roughly follows the idea of the Henkin-Hasenjaeger method for classical logic. We show that a temporal model exists for every formula which negation is not derivable (Satisfiability Theorem). The contrapositive of that...
Silvia Ghilezan, Silvia Likavec (2009)
Zbornik Radova
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Marco Caminati (2011)
Formalized Mathematics
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Fifth of a series of articles laying down the bases for classical first order model theory. This paper presents multiple themes: first it introduces sequents, rules and sets of rules for a first order language L as L-dependent types. Then defines derivability and provability according to a set of rules, and gives several technical lemmas binding all those concepts. Following that, it introduces a fixed set D of derivation rules, and proceeds to convert them to Mizar functorial cluster...