NDLI: A Constructive Solution to the Ranking Problem in Partial Order Optimality Theory

Content Provider	Springer Nature Link
Author	Djalali, Alex J.
Copyright Year	2017
Abstract	Partial order optimality theory (PoOT) (Anttila and Cho in Lingua 104:31–56, 1998) is a conservative generalization of classical optimality theory (COT) (Prince and Smolensky in Optimality theory: constraint interaction in generative grammar, Blackwell Publishers, Malden, 1993/2004) that makes possible the modeling of free variation and quantitative regularities without any numerical parameters. Solving the ranking problem for PoOT has so far remained an outstanding problem: allowing for free variation, given a finite set of input/output pairs, i.e., a dataset, $$\Delta $$ that a speaker S knows to be part of some language L, how can S learn the set of all grammars G under some constraint set C compatible with $$\Delta $$ ?. Here, allowing for free variation, given the set of all PoOT grammars GPoOT over a constraint set C , for an arbitrary $$\Delta $$ , I provide set-theoretic means for constructing the actual set G compatible with $$\Delta $$ . Specifically, I determine the set of all STRICT ORDERS of C that are compatible with $$\Delta $$ . As every strict total order is a strict order, our solution is applicable in both PoOT and COT, showing that the ranking problem in COT is a special instance of a more general one in PoOT.
Starting Page	89
Ending Page	108
Page Count	20
File Format	PDF
ISSN	09258531
Journal	Journal of Logic, Language and Information
Volume Number	26
Issue Number	2
e-ISSN	15729583
Language	English
Publisher	Springer Netherlands
Publisher Date	2017-04-07
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Optimality theory Classical optimality theory Partial order optimality theory Formal linguistics Linguistics Honology Formal phonology Order theory Set theory Ranking problem Logic Semantics Information Systems Applications (incl.Internet)
Content Type	Text
Resource Type	Article
Subject	Philosophy Computer Science Linguistics and Language

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