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Title:The Book of nGX
Authors:Birgit Alber, Alan Prince
Comment:File in form of Excel .xslx workbook, including one optional navigation macro as text. No familiarity with Excel is required.
Abstract:The system nGX is built from prosodic objects and constraints of a mostly familiar variety, yielding a mildly idealized typology of Quantity Insensitive languages (Alber & Prince ms.). In nGX, there is no distinction between main and secondary stress, and every output form must have at least one stressed syllable. Inputs are assumed stressless and no faithfulness constraints are posited. The foot type constraints Iamb and Trochee differ from what appears to be usually assumed, in that they penalize rather than accept monosyllabic feet. Positioning of feet is under the control of paired generalized alignment constraints. See Alber & Prince (ms., in prep.) and Alber, Delbusso, and Prince 2016 for further detailed discussion.

The acronym is derived from these characteristics: n = 'new' foot type constraints; G = generalized alignment; X = stress required in all forms.

The primary goal of this study is not to oust other views of stress prosody, but to understand the typology of nGX in a way that contributes to understanding the structure of OT typologies in general. We develop the system from a provably valid universal support that devolves from Gen.nGX and Con.nGX (Alber, DelBusso, and Prince 2016). We examine the patterning of outputs in the extensional typology (structures) and present a complete analysis of the intensional typology (grammars) in terms of Property Theory (Alber & Prince 2015, ms.). Also included in the analytical data are various views of the nGX typohedron, its position on the permutohedron (reduced dimensionally by suppression of one alignment constraint), as well its MOAT (Merchant & Prince 2016).

An effort has been made to proceed analytically in accord with the requirements imposed by the logic of the theory. Most of the known results concerning the structure of nGX are found here.

Although a basic knowledge of OT is presupposed, new and less familiar concepts are discussed and exemplified, so that the text may be read as an introduction to typological analysis as well as a detailed study of one system.

Table of Contents
0 Overview
1 Gen.nGX and Con.nGX
2 VTs and Optima
3 Factorial Typology: languages and grammars
4 Property Analysis, with 2 versions
5 Treeoids for both analyses
6 The MOAT and the UVT derived therefrom
7 Typohedra with property regions
8 Permutohedron with nGX.L on it
9 Calculations
10 References
Area/Keywords:formal analysis, analytical technique, typologies
Article:Version 2
Version 1