This article is concerned with how to characterize and constrain the typology of reduplication and affixation, given Raimy’s (1999 et seq.) precedence-based theory of phonological representations as directed graphs. First, we establish a typology of attested reduplication and infixation anchor points based on an empirical survey. We then extend the SEARCH and COPY algorithms proposed by Mailhot & Reiss (2007) for long-distance assimilation (harmony) processes to the morphological domain, proposing modifications to reconcile this formalism with Raimy’s. Finally, we argue for an amended version of a proposal by Idsardi & Shorey (2007) regarding the process by which ‘looped’ representations created during the course of morphological concatenation are linearized.