Blurb:

While Match Theory was intended to replace Align/Wrap Theory, Bellik et al. (to appear) have argued that both Match and Align constraints are needed to account for phonological phrasing in Japanese. Match and markedness alone cannot handle a left/right phrasing asymmetry in Japanese, while Align can. But Align cannot account for prosodic recursion of sufficient depth, and so Match is needed too. Here we analyze the resulting hybrid theory with Match, Align, and Binarity constraints. We define an OT system with these constraints, generate its factorial typology, and elucidate the relation between intensional properties of its grammars and extensional traits of its languages in terms of Property Theory (Alber & Prince 2021, to appear).