@InProceedings{brakensiek_et_al:LIPIcs.ICALP.2021.37, author = {Brakensiek, Joshua and Guruswami, Venkatesan and Sandeep, Sai}, title = {{Conditional Dichotomy of Boolean Ordered Promise CSPs}}, booktitle = {48th International Colloquium on Automata, Languages, and Programming (ICALP 2021)}, pages = {37:1--37:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-195-5}, ISSN = {1868-8969}, year = {2021}, volume = {198}, editor = {Bansal, Nikhil and Merelli, Emanuela and Worrell, James}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2021.37}, URN = {urn:nbn:de:0030-drops-141060}, doi = {10.4230/LIPIcs.ICALP.2021.37}, annote = {Keywords: promise constraint satisfaction, Boolean ordered PCSP, Shapley value, rich 2-to-1 conjecture, random minor} }