@InProceedings{nakata:LIPIcs.CSL.2024.42, author = {Nakata, Satoshi}, title = {{Local Operators in Topos Theory and Separation of Semi-Classical Axioms in Intuitionistic Arithmetic}}, booktitle = {32nd EACSL Annual Conference on Computer Science Logic (CSL 2024)}, pages = {42:1--42:21}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-310-2}, ISSN = {1868-8969}, year = {2024}, volume = {288}, editor = {Murano, Aniello and Silva, Alexandra}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2024.42}, URN = {urn:nbn:de:0030-drops-196859}, doi = {10.4230/LIPIcs.CSL.2024.42}, annote = {Keywords: local operator, elementary topos, effective topos, realizability, intuitionistic arithmetic} }