This volume of Computational Models of Argument focuses on the aim to develop software tools to assist users in constructing and evaluating arguments and counterarguments and/or to develop automated systems for constructing and evaluating arguments and counterarguments. Some articles provide a valuable snapshot of the leading research questions in the area of computational models of argument, others draw on the wealth of research on the philosophical questions surrounding the notions arising in argumentation, or address knowledge representation and reasoning issues emerging from modeling argumentation. They also consider appropriate models of wider rhetorical issues arising in argumentation and propose and evaluate algorithmic solutions associated with generating and judging constellations of arguments. Included are articles proposing standards for exchanging information associated with argumentation so that different systems can work together. In addition, some articles report practical working tools for computational argumentation.