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2. Counting Tree Parses


 
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1. Title Title of document 2. Counting Tree Parses - Syntax-Prosody in Optimality Theory
 
2. Creator Author's name, affiliation, country Edward Shingler; SPOT Project, University of California, Santa Cruz;
 
2. Creator Author's name, affiliation, country Jennifer Bellik; University of California, Santa Cruz ;
 
3. Subject Discipline(s) Linguistics
 
4. Subject Keyword(s) optimality theory; syntax; prosody; phonology; match theory; align theory
 
5. Subject Subject classification Optimality Theory; Syntax; Prosody
 
6. Description Abstract A key component of an OT system is the Gen function, which defines the candidate set for that system. In the domain of syntax-prosody mapping, the candidates are pairs. The goal of this chapter is to develop a deeper understanding of how to construct the outputs in syntax-prosody mapping candidate sets, and of how the number of candidates grows with the addition of terminals. To those ends, this chapter describes the options that the SPOT app makes available for defining Gen, and establishes through mathematical reasoning that SPOT’s Gen functions are generating the correct number of candidates for each set of parameter values. We find that the cardinalities of SPOT’s Gen functions are related to: the powers of two, the Fibonacci sequence, and the super-Catalan or Little Schröder numbers, depending on the parameterization selected.
 
7. Publisher Organizing agency, location Equinox Publishing Ltd
 
8. Contributor Sponsor(s)
 
9. Date (YYYY-MM-DD) 30-Jun-2023
 
10. Type Status & genre Peer-reviewed Article
 
11. Type Type
 
12. Format File format PDF
 
13. Identifier Uniform Resource Identifier https://journals.equinoxpub.com/index.php/books/article/view/41003
 
14. Identifier Digital Object Identifier 10.1558/equinox.41003
 
15. Source Journal/conference title; vol., no. (year) Equinox eBooks Publishing; Syntax-Prosody in Optimality Theory
 
16. Language English=en en
 
18. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
19. Rights Copyright and permissions Copyright 2014 Equinox Publishing Ltd