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

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1 Citationer (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.

Originalsprog	Engelsk
Titel	Programming Languages and Systems : 11th Asian Symposium, APLAS 2013, Melbourne, VIC, Australia, December 9-11, 2013. Proceedings
Redaktører	Chung-chieh Shan
Antal sider	18
Forlag	Springer
Publikationsdato	2013
Sider	315-332
ISBN (Trykt)	978-3-319-03542-0
ISBN (Elektronisk)	978-3-319-03542-0
DOI	https://doi.org/10.1007/978-3-319-03542-0_23
Status	Udgivet - 2013
Begivenhed	11th Asian Symposium on Programming Languages and Systems - Melbourne, Australien Varighed: 9 dec. 2013 → 11 dec. 2013 Konferencens nummer: 11

Konference

Konference	11th Asian Symposium on Programming Languages and Systems
Nummer	11
Land/Område	Australien
By	Melbourne
Periode	09/12/2013 → 11/12/2013

Navn	Lecture notes in computer science
Vol/bind	8301
ISSN	0302-9743

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

Citationsformater

Henglein, F., & Hinze, R. (2013). Sorting and searching by distribution: from generic discrimination to generic tries. I C. Shan (red.), Programming Languages and Systems: 11th Asian Symposium, APLAS 2013, Melbourne, VIC, Australia, December 9-11, 2013. Proceedings (s. 315-332). Springer. Lecture notes in computer science Bind 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. red. / Chung-chieh Shan. Springer, 2013. s. 315-332 (Lecture notes in computer science, Bind 8301).

Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › peer review

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

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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.",

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

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