@InProceedings{czajka:LIPIcs.TYPES.2016.9, author = {Czajka, Lukasz}, title = {{A Shallow Embedding of Pure Type Systems into First-Order Logic}}, booktitle = {22nd International Conference on Types for Proofs and Programs (TYPES 2016)}, pages = {9:1--9:39}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-065-1}, ISSN = {1868-8969}, year = {2018}, volume = {97}, editor = {Ghilezan, Silvia and Geuvers, Herman and Ivetic, Jelena}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2016.9}, URN = {urn:nbn:de:0030-drops-98533}, doi = {10.4230/LIPIcs.TYPES.2016.9}, annote = {Keywords: pure type systems, first-order logic, hammers, proof automation, dependent type theory} }