Sorting and searching by distribution: from generic discrimination to generic tries

Fritz Henglein; Ralf Hinze

doi:10.1007/978-3-319-03542-0_23

Sorting and searching by distribution: from generic discrimination to generic tries

Fritz Henglein, Ralf Hinze

Department of Computer Science

1 Citation (Scopus)

Abstract

A discriminator partitions values associated with keys into groups listed in ascending order. Discriminators can be defined generically by structural recursion on representations of ordering relations. Employing type-indexed families we demonstrate how tries with an optimaltime lookup function can be constructed generically in worst-case linear time. We provide generic implementations of comparison, sorting, discrimination and trie building functions and give equational proofs of correctness that highlight core relations between these algorithms.

Original language	English
Title of host publication	Programming Languages and Systems : 11th Asian Symposium, APLAS 2013, Melbourne, VIC, Australia, December 9-11, 2013. Proceedings
Editors	Chung-chieh Shan
Number of pages	18
Publisher	Springer
Publication date	2013
Pages	315-332
ISBN (Print)	978-3-319-03542-0
ISBN (Electronic)	978-3-319-03542-0
DOIs	https://doi.org/10.1007/978-3-319-03542-0_23
Publication status	Published - 2013
Event	11th Asian Symposium on Programming Languages and Systems - Melbourne, Australia Duration: 9 Dec 2013 → 11 Dec 2013 Conference number: 11

Conference

Conference	11th Asian Symposium on Programming Languages and Systems
Number	11
Country/Territory	Australia
City	Melbourne
Period	09/12/2013 → 11/12/2013

Series	Lecture notes in computer science
Volume	8301
ISSN	0302-9743

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10.1007/978-3-319-03542-0_23

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Henglein, F., & Hinze, R. (2013). Sorting and searching by distribution: from generic discrimination to generic tries. In C. Shan (Ed.), Programming Languages and Systems: 11th Asian Symposium, APLAS 2013, Melbourne, VIC, Australia, December 9-11, 2013. Proceedings (pp. 315-332). Springer. Lecture notes in computer science Vol. 8301 https://doi.org/10.1007/978-3-319-03542-0_23

Sorting and searching by distribution : from generic discrimination to generic tries. / Henglein, Fritz; Hinze, Ralf.

Programming Languages and Systems: 11th Asian Symposium, APLAS 2013, Melbourne, VIC, Australia, December 9-11, 2013. Proceedings. ed. / Chung-chieh Shan. Springer, 2013. p. 315-332 (Lecture notes in computer science, Vol. 8301).

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Henglein, F & Hinze, R 2013, Sorting and searching by distribution: from generic discrimination to generic tries. in C Shan (ed.), Programming Languages and Systems: 11th Asian Symposium, APLAS 2013, Melbourne, VIC, Australia, December 9-11, 2013. Proceedings. Springer, Lecture notes in computer science, vol. 8301, pp. 315-332, 11th Asian Symposium on Programming Languages and Systems, Melbourne, Australia, 09/12/2013. https://doi.org/10.1007/978-3-319-03542-0_23

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Sorting and searching by distribution: from generic discrimination to generic tries

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