@InProceedings{terui:LIPIcs.CSL.2018.37, author = {Terui, Kazushige}, title = {{MacNeille Completion and Buchholz' Omega Rule for Parameter-Free Second Order Logics}}, booktitle = {27th EACSL Annual Conference on Computer Science Logic (CSL 2018)}, pages = {37:1--37:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-088-0}, ISSN = {1868-8969}, year = {2018}, volume = {119}, editor = {Ghica, Dan R. and Jung, Achim}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2018.37}, URN = {urn:nbn:de:0030-drops-97049}, doi = {10.4230/LIPIcs.CSL.2018.37}, annote = {Keywords: Algebraic cut elimination, Parameter-free second order logic, MacNeille completion, Omega-rule} }