Authors: Zoran Petric, Kosta Dosen Title: Coherence and Confluence Abstract: It seems that what categorists call coherence logicians would, roughly speaking, call completeness. This is a question whether we assumed for a particular brand of categories all the equations between arrows we should have assumed. The simplest coherence questions are those where it is intended that all arrows of the same type should be equal, i.e. where the category envisaged is a preorder. In such cases a technique similar to the one used in proving confluence of reductions in lambda-calculus can be applied.