Quantales and (noncommutative) linear logic

Journal of Symbolic Logic 55 (1):41-64 (1990)
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From if to bi.Samson Abramsky & Jouko Väänänen - 2009 - Synthese 167 (2):207 - 230.
Type Logical Grammar: Categorial Logic of Signs.G. V. Morrill - 2012 - Dordrecht, Netherland: Springer Verlag.
Non-commutative logical algebras and algebraic quantales.Wolfgang Rump & Yi Chuan Yang - 2014 - Annals of Pure and Applied Logic 165 (2):759-785.

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