@InProceedings{lammich_et_al:LIPIcs.ITP.2019.23, author = {Lammich, Peter and Nipkow, Tobias}, title = {{Proof Pearl: Purely Functional, Simple and Efficient Priority Search Trees and Applications to Prim and Dijkstra}}, booktitle = {10th International Conference on Interactive Theorem Proving (ITP 2019)}, pages = {23:1--23:18}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-122-1}, ISSN = {1868-8969}, year = {2019}, volume = {141}, editor = {Harrison, John and O'Leary, John and Tolmach, Andrew}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2019.23}, URN = {urn:nbn:de:0030-drops-110788}, doi = {10.4230/LIPIcs.ITP.2019.23}, annote = {Keywords: Priority queue, Dijkstra’s algorithm, Prim’s algorithm, verification, Isabelle} }