Presenting finite posets

Conference of 8th International Workshop on Computing with Terms and Graphs, TERMGRAPH 2014 ; Conference Date: 13 July 2014; Conference Code:117524International audienceWe introduce a monoidal category whose morphisms are finite partial orders, with chosen minimal and maximal elements as source and target respectively. After recalling the notion of presentation of a monoidal category by the means of generators and relations, we construct a presentation of our category, which corresponds to a variant of the notion of bialgebra