@InProceedings{atserias_et_al:LIPIcs.CCC.2019.24, author = {Atserias, Albert and Hakoniemi, Tuomas}, title = {{Size-Degree Trade-Offs for Sums-of-Squares and Positivstellensatz Proofs}}, booktitle = {34th Computational Complexity Conference (CCC 2019)}, pages = {24:1--24:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-116-0}, ISSN = {1868-8969}, year = {2019}, volume = {137}, editor = {Shpilka, Amir}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2019.24}, URN = {urn:nbn:de:0030-drops-108464}, doi = {10.4230/LIPIcs.CCC.2019.24}, annote = {Keywords: Proof complexity, semialgebraic proof systems, Sums-of-Squares, Positivstellensatz, trade-offs, lower bounds, monomial size, degree} }