TY - UNPB N1 - This version is the author accepted manuscript. For information on re-use, please refer to the publisher?s terms and conditions. AV - public Y1 - 2021/09/03/ TI - How to write a coequation A1 - Dahlqvist, Fredrik A1 - Schmid, Todd T3 - Conference on Algebra and Coalgebra in Computer Science (CALCO 2021) CY - Salzburg, Austria PB - Coalgebra UR - https://www.coalg.org/calco-mfps2021/ ID - discovery10146158 N2 - There is a large amount of literature on the topic of covarieties, coequations and coequational specifications, dating back to the early seventies. Nevertheless, coequations have not (yet) emerged as an everyday practical specification formalism for computer scientists. In this review paper, we argue that this is partly due to the multitude of syntaxes for writing down coequations, which seems to have led to some confusion about what coequations are and what they are for. By surveying the literature, we identify four types of syntaxes: coequations-as-corelations, coequations-as-predicates, coequations-as-equations, and coequations-as-modal-formulas. We present each of these in a tutorial fashion, relate them to each other, and discuss their respective uses. ER -