Multi-Tiered Strictly Local Functions

Burness, Phillip; McMullin, Kevin

doi:10.18653/v1/2020.sigmorphon-1.29

Cited by 3 publications

(3 citation statements)

References 23 publications

(30 reference statements)

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“…In an appendix to their article, prove that the ISL functions are not closed under composition (i.e., given two ISL functions f(w) and g(w), the single function equivalent to f(g(w)) is not guaranteed to be ISL), 12 and yet the main body of their article shows that certain opaque rule interactions such as counterfeeding and counterbleeding can nevertheless be modelled using a single ISL function, suggesting that overall phonological systems might generally obey strict locality. In a The particular subclass of multi-tiered functions that Burness & McMullin (2020) argue for lets each input element separately depend on its own set of tiers, provided that the set forms a strict superset-subset hierarchy. Further work is needed, however, to assess the degree to which 12 Although Chandlee & Lindell (under review) conjecture that closure is guaranteed when neither of the functions being combined contains a "null cycle" where infinite deletion is possible.…”

Section: Limitations Of Tier-based Strictly Local Functionsmentioning

confidence: 99%

“…A paradox ensues: the lowering requires a tier with only non-high vowels, while determining whether the vowel is word-final requires a tier with everything. The multi-tiered functions of Burness & McMullin (2020) seem well-suited 13 A reviewer also makes the interesting observation that the tier projection of a TSL function can only delete a segment or reproduce it exactly, precluding the ability to add information. 14 Dettweiler (2000) was unable to determine the exact meaning of of the suffix /-ni/, and so treats it as an adjective marker of uncertain status.…”

Section: Two-sided Contextsmentioning

confidence: 99%

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

Chandlee

Burness

McMullin

2021

Glossa: A Journal of General Linguistics

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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 a function. Viewing processes as mathematical objects in this way allows us to study properties of phonology that hold no matter how it is implemented. Work in this vein has found that a majority of phonological processes only consider information within a finite window, placing them in the highly restrictive class of Strictly Local (SL) functions (Chandlee 2014; Chandlee et al. 2014;2015). Long-distance phonological processes, however, lie outside the capabilities of the SL functions since they consider information that can be arbitrarily distant. The more powerful class of subsequential functions has been offered as a potential upper bound on the complexity of long-distance phonology (Heinz and Lai 2013; Luo 2017; Payne 2017), but we will argue that an even tighter bound is possible. Specifically, by incorporating an autosegmental tier (e.g., Goldsmith 1976) into the structure of an SL function, the non-local information crucial for applying long-distance processes can be rendered local. In addition to assessing the typological coverage of these Tier-based Strictly Local (TSL) functions (Burness and McMullin 2019; Hao and Andersson 2019; Hao and Bowers 2019), we show that they fail to generate a number of pathological patterns that can be characterized as subsequential functions. We therefore conclude that the TSL functions are a better hypothesized upper bound on phonological complexity.

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Section: Limitations Of Tier-based Strictly Local Functionsmentioning

confidence: 99%

Section: Two-sided Contextsmentioning

confidence: 99%

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

Chandlee

Burness

McMullin

2021

Glossa: A Journal of General Linguistics

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“…Preliminarily, the answer to this question is yes – Burness & McMullin (2020) describe the strictly piecewise (SP) class of functions, an extension of the SP languages (Heinz 2009; Rogers et al . 2010).…”

Section: Discussionmentioning

confidence: 99%

The atomic properties of stress

Koser

2022

Phonology

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This article posits a theory of iterative stress that separates each facet of the stress map into its constituent parts, or ‘atoms’. Through the well-defined notion of complexity provided by Formal Language Theory, it is shown that this division of the stress map results in a more restrictive characterisation of iterative stress than a single-function analysis does. While the single-function approach masks the complexity of the atomic properties present in the pattern, the compositional analysis makes it explicitly clear. It also demonstrates the degree to which, despite what appear to be significant surface differences in the patterns, the calculation of the stress function is largely the same, even between quantity-sensitive and quantity-insensitive patterns. These stress compositions are limited to one output-local function to iterate stress, and a small number of what I call edge-oriented functions to provide ‘cleanup’ when the iteration function alone fails to capture the pattern.

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Relativized Locality: Phases and Tiers in Long-Distance Allomorphy in Armenian

Dolatian

Guekguezian

2023

Linguistic Inquiry

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Linguistic processes tend to respect locality constraints. In this paper, we analyze the distribution of conjugation classes in Armenian verbs. We analyze a type of Tense allomorphy which applies across these classes. On the surface, we show that this allomorphy is long-distance. Specifically, it is sensitive to the interaction of multiple morphemes that are neither linearly nor structurally adjacent. However, we argue that this allomorphy respects ‘relativized adjacency’ (Toosarvandani 2016) or tier-based locality (Aksënova, Graf, and Moradi 2016). While not surface-local, the interaction in Armenian verbs is local on a tier projected from morphological features. This formal property of tier-based locality is substantively manifested as phase-based locality in Armenian (cf. Marvin 2002). In addition to being well-studied computationally, tier-based locality allows us to capture superficially non-local morphological processes while respecting the cross-linguistic tendency of locality. We speculate that tier-based locality is a cross-linguistic tendency in long-distance allomorphy, while phase-based locality is not necessarily so.

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Multi-Tiered Strictly Local Functions

Cited by 3 publications

References 23 publications

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

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

The atomic properties of stress

Relativized Locality: Phases and Tiers in Long-Distance Allomorphy in Armenian

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