@InProceedings{kolodziejczyk_et_al:LIPIcs.CSL.2016.36, author = {Kolodziejczyk, Leszek Aleksander and Michalewski, Henryk and Pradic, Pierre and Skrzypczak, Michal}, title = {{The Logical Strength of B\"{u}chi's Decidability Theorem}}, booktitle = {25th EACSL Annual Conference on Computer Science Logic (CSL 2016)}, pages = {36:1--36:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-022-4}, ISSN = {1868-8969}, year = {2016}, volume = {62}, editor = {Talbot, Jean-Marc and Regnier, Laurent}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2016.36}, URN = {urn:nbn:de:0030-drops-65765}, doi = {10.4230/LIPIcs.CSL.2016.36}, annote = {Keywords: nondeterministic automata, monadic second-order logic, B\"{u}chi's theorem, additive Ramsey's theorem, reverse mathematics} }