Recent theoretical advances in theories of categorization response times have made it possible to differentiate mental architectures that specify how processes occurring over several information-processing channels are combined (e.g., in serial or in parallel). This article introduces the numerical computations necessary to generate predictions for a class of logical rule-based models that have recently been used to account for speeded perceptual categorization judgments (Fifić, M., Little, D.R. & Nosofsky, R. M. . Psychological Review, 117:309-348, 2010).