Formalizing a non-linear Henkin quantifier
E. López-Escobar (1991)
Fundamenta Mathematicae
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E. López-Escobar (1991)
Fundamenta Mathematicae
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Mirjana Borisavljević (2010)
Kragujevac Journal of Mathematics
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Mirjana Borisavljević (2010)
Publications de l'Institut Mathématique
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Jan von Plato (2017)
Bulletin of the Section of Logic
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The way from linearly written derivations in natural deduction, introduced by Jaskowski and often used in textbooks, is a straightforward root-first translation. The other direction, instead, is tricky, because of the partially ordered assumption formulas in a tree that can get closed by the end of a derivation. An algorithm is defined that operates alternatively from the leaves and root of a derivation and solves the problem.
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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Qimei Xiao, Wenjun Liu (2016)
Open Mathematics
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A quantale is a complete lattice equipped with an associative binary multiplication distributing over arbitrary joins. We define the notions of right (left, two) sided derivation and idempotent derivation and investigate the properties of them. It’s well known that quantic nucleus and quantic conucleus play important roles in a quantale. In this paper, the relationships between derivation and quantic nucleus (conucleus) are studied via introducing the concept of pre-derivation. ...
Utkina, E.A. (2005)
Lobachevskii Journal of Mathematics
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Barrenechea, A.L., Peña, C.C. (2005)
Lobachevskii Journal of Mathematics
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Yan, Dangui, Zhang, Chengchang (2011)
International Journal of Mathematics and Mathematical Sciences
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