@InProceedings{jungeblut_et_al:LIPIcs.SoCG.2022.48, author = {Jungeblut, Paul and Kleist, Linda and Miltzow, Tillmann}, title = {{The Complexity of the Hausdorff Distance}}, booktitle = {38th International Symposium on Computational Geometry (SoCG 2022)}, pages = {48:1--48:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-227-3}, ISSN = {1868-8969}, year = {2022}, volume = {224}, editor = {Goaoc, Xavier and Kerber, Michael}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2022.48}, URN = {urn:nbn:de:0030-drops-160567}, doi = {10.4230/LIPIcs.SoCG.2022.48}, annote = {Keywords: Hausdorff Distance, Semi-Algebraic Set, Existential Theory of the Reals, Universal Existential Theory of the Reals, Complexity Theory} }