Long-distance phonological processes as tier-based strictly local functions

Whether we analyze phonological processes using a system of rules or constraints, the resulting map from underlying representations to surface pronunciations can be characterized as function. Viewing mathematical objects in this way allows us study properties phonology that hold no matter how it is implemented. Work vein has found majority only consider information within finite window, placing them highly restrictive class Strictly Local (SL) functions (Chandlee 2014; Chandlee et al. 2015). Long-distance processes, however, lie outside capabilities SL since they arbitrarily distant. The more powerful subsequential been offered potential characterization long-distance (Heinz & Lai 2013; Luo 2017; Payne 2017), but argue an intermediate offers natural model. Specifically, by incorporating autosegmental tier (e.g., Goldsmith 1976) into structure function, non-local crucial for applying long- distance rendered local. In addition assessing typological coverage these Tier-based (Burness McMullin 2019; Hao Andersson Bowers 2019), show fail generate two pathological behaviours (minimum requirements and modulo counting) accomplished with We therefore conclude tier-based computation better than computation.