Abstract

All changes to the internal structure of phonological segments arise from combinations of rules based on two set-theoretic operations: feature deletion by set subtraction and feature insertion by unification. Apparent cases of rules targeting underspecified segments reflect two kinds of vacuous rule application, one due to unification failure and the other due to vacuous unification. Despite this reduction of all segment-internal changes to two basic mechanisms we can account for a wide variety of patterns, including the reciprocal neutralization and apparent exceptional behavior seen in Hungarian voicing assimilation.

Highlights

  • Background on Logical PhonologyI provide more details concerning the list of assumptions given in the previous section

  • Logical Phonology is an approach that is consistent with the notion of Substance Free phonology introduced by Hale & Reiss (2000; 2008); Reiss (2017b), that term has come to be applied to a variety of often inconsistent perspectives. (Substance Free) Logical Phonology attempts to characterize the formal nature of phonological computation without reference to any notion of markedness or functionalist concepts like contrast, ease of articulation or the idea that phonological computation ‘repairs’ illformed structures

  • The processes discussed at level three are not part of the model of Logical Phonology: they are just a way to relate our results to the kinds of data and problems that phonologists have traditionally discussed

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Summary

Introduction

(Ontological) proliferation is the enemy of (theoretical) elegance. In contrast, combinatorics is our friend: when we try to model some aspect of the world, we want to account for lots of phenomena with just a few building blocks that can be put together to allow for superficial variety and complexity. I propose that a complete account of changes within segments uses only the two primitive mechanisms: deletion of valued features like +Nasal via an operation of set subtraction, and insertion of valued features via an operation of set unification.. Recent work (Bale et al 2014; Bale & Reiss 2018; Bale et al 2020) has proposed these operations as elements of a basic inventory of computations for phonology: the novelty of this paper is the stronger claim that just these two operations are necessary and sufficient to model all intrasegmental changes This claim is embedded in the larger framework of assumptions in (1) that my co-authors and I adopt and justify (or at least acknowledge as temporary idealizations). The enviroments and conditions for processes such as long-distance vowel harmony are not treated, but the intention is that the accounts of segment internal changes developed here will be part of a full analysis of such processes

Background on Logical Phonology
Natural classes
Basic set operations
Logical relations among segments in patterns
Greek letter variables—α-notation
Segment mapping diagrams
The basic operations in rules
Unification rules
Set subtraction rules
Illustration of feature-filling and feature-changing
Exploiting unification failure to streamline grammar
Simple neutralization
Feature-changing allophony of φ and ψ
Feature-filling allophony of φ and ψ
Absolute neutralization
Three-to-two feature-filling mapping
Three-to-two with α-notation
A predicted allophonic pattern
Reciprocal neutralization
Simplified Hungarian Reciprocal Neutralization
Full Hungarian situation
Hungarian h
Hungarian cluster derivations
Conclusions
Full Text
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