On Semantics of a Term Calculus for Classical Logic
Silvia Likavec, Pierre Lescanne (2012)
Publications de l'Institut Mathématique
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Silvia Likavec, Pierre Lescanne (2012)
Publications de l'Institut Mathématique
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Theory and Applications of Categories [electronic only]
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Trnková, V, Sichler, J. (2008)
Theory and Applications of Categories [electronic only]
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Marmolejo, F., Wood, R.J. (2008)
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Đorđe Kadijević (2005)
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Freyd, Peter (2008)
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Giordano, P. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Szabolcs Mikulás (1993)
Banach Center Publications
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In [vB88], Johan van Benthem introduces Relational Semantics (RelSem for short), and states Soundness Theorem for Lambek Calculus (LC) w.r.t. RelSem. After doing this, he writes: "it would be very interesting to have the converse too", i.e., to have Completeness Theorem. The same question is in [vB91, p. 235]. In the following, we state Strong Completeness Theorems for different versions of LC.
Radul, Taras (2001)
Revista Colombiana de Matemáticas
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