Corcoran's Aristotelian syllogistic as a subsystem of first-order logic.
Andrade, Edgar J., Becerra, Edward (2007)
Revista Colombiana de Matemáticas
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Andrade, Edgar J., Becerra, Edward (2007)
Revista Colombiana de Matemáticas
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A. Simon (1993)
Banach Center Publications
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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.
Silvia Ghilezan, Silvia Likavec (2009)
Zbornik Radova
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Jan Jaspars (1993)
Banach Center Publications
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A "partial" generalization of Fine's definition [Fin] of normal forms in normal minimal modal logic is given. This means quick access to complete axiomatizations and decidability proofs for partial modal logic [Thi].
Tatjana Stojanović, Ana Kaplarević-Mališić, Zoran Ognjanović (2010)
Kragujevac Journal of Mathematics
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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;...
Rimatskiĭ, V.V. (2009)
Sibirskij Matematicheskij Zhurnal
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Vladimir Ristić (2006)
Kragujevac Journal of Mathematics
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A. Stern (1993)
Fundamenta Mathematicae
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The Rowland Institute for Science, 100 Cambridge Parkway, Cambridge, Massachusetts 02142, U.S.A. A construction is presented for generating sentences that satisfy a recursively enumerable set of interpretability properties. This construction is then used to prove three previously announced results concerning the lattice of local interpretability types of theories (also known as the Lattice of Chapters).
Silvia Likavec, Pierre Lescanne (2012)
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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