A Note on Weak Algebraic Theories

Daniel de Carvalho 1
1 CALLIGRAMME - Linear logic, proof networks and categorial grammars
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : In our PhD thesis, we showed that for the study of denotational semantics of Linear Logic, it is crucial to generalize the standard notion of monad on a category. An earlier generalization was already given by Hoofman : semi-monads. But it was not suitable for our problem. This is why we introduced another generalization : weak monads. In this report, we present this new notion and give some examples.
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Daniel de Carvalho. A Note on Weak Algebraic Theories. [Research Report] RR-6643, INRIA. 2008, pp.37. ⟨inria-00320983⟩

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