@InProceedings{chen_et_al:LIPIcs.CSL.2017.19, author = {Chen, Yijia and Flum, J\"{o}rg and Huang, Xuangui}, title = {{Slicewise Definability in First-Order Logic with Bounded Quantifier Rank}}, booktitle = {26th EACSL Annual Conference on Computer Science Logic (CSL 2017)}, pages = {19:1--19:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-045-3}, ISSN = {1868-8969}, year = {2017}, volume = {82}, editor = {Goranko, Valentin and Dam, Mads}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.19}, URN = {urn:nbn:de:0030-drops-76742}, doi = {10.4230/LIPIcs.CSL.2017.19}, annote = {Keywords: first-order logic, quantifier rank, parameterized AC^0, circuit depth} }