License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.FSCD.2016.4
URN: urn:nbn:de:0030-drops-59701
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/5970/
Nipkow, Tobias
Verified Analysis of Functional Data Structures
Abstract
In recent work the author has analyzed a number of classical
functional search tree and priority queue implementations with the
help of the theorem prover Isabelle/HOL. The functional correctness
proofs of AVL trees, red-black trees, 2-3 trees, 2-3-4 trees, 1-2
brother trees, AA trees and splay trees could be automated. The
amortized logarithmic complexity of skew heaps, splay trees, splay
heaps and pairing heaps had to be proved manually.
BibTeX - Entry
@InProceedings{nipkow:LIPIcs:2016:5970,
author = {Tobias Nipkow},
title = {{Verified Analysis of Functional Data Structures}},
booktitle = {1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)},
pages = {4:1--4:2},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-010-1},
ISSN = {1868-8969},
year = {2016},
volume = {52},
editor = {Delia Kesner and Brigitte Pientka},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2016/5970},
URN = {urn:nbn:de:0030-drops-59701},
doi = {10.4230/LIPIcs.FSCD.2016.4},
annote = {Keywords: Program Verification, Algorithm Analysis, Functional Programming}
}
Keywords: |
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Program Verification, Algorithm Analysis, Functional Programming |
Collection: |
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1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016) |
Issue Date: |
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2016 |
Date of publication: |
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17.06.2016 |