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Scunak

Books

1Reasoning in Simple Type Theory: Festschrift in Honor of Peter B. Andrews on His 70th Birthday, IFCoLog. Editors: Christoph Benzmüller, Chad E. Brown, Jörg Siekmann, Richard Statman. 2008. Available through Amazon
2Chad E. Brown. Automated Reasoning in Higher-Order Logic: Set Comprehension and Extensionality in Church's Type Theory. 2007. Available through Amazon

Articles in Refereed Journals

3Christoph Benzmüller, Chad E. Brown, Michael Kohlhase. Cut-Simulation in Impredicative Logics. Logical Methods in Computer Science. Volume 5, Issue 1:1-21, March 2009 LMCS Page pdf ps
4Peter B. Andrews, Chad E. Brown. TPS: A hybrid automatic-interactive system for developing proofs. J. Applied Logic 4:367-395, 2006.
5Christoph Benzmüller, Chad E. Brown, Michael Kohlhase. Higher-order semantics and extensionality. Journal of Symbolic Logic 69:1027-1088, 2004. bib pdf
6Peter B. Andrews, Matthew Bishop, Chad E. Brown, Sunil Issar, Frank Pfenning, Hongwei Xi. ETPS: A System to Help Students Write Formal Proofs. J. Autom. Reasoning 32:75-92, 2004.
7V. Anuradha, C. E. Brown, and R. Shivaji. Explosive non-negative solutions to two point boundary value problem, J. Nonlinear Analysis, TMA 26(3), 1996, pp. 613-630.

Articles in Proceedings of Conferences

8Chad E. Brown and Gert Smolka. Extended First-Order Logic. TPHOLs 2009, Springer LNCS 5674, August 2009 pdf Abstract with PDF and BIBTEX bib
9Chad E. Brown and Gert Smolka. Terminating Tableaux for the Basic Fragment of Simple Type Theory. TABLEAUX 2009:138-151, Springer LNCS 5607 Abstract with PDF and BIBTEX pdf bib
10Feryal Fulya Horozal, Chad E. Brown. Formal Representation of Mathematics in a Dependently Typed Set Theory. Toward Mechanized Mathematical Assistants (MKM 2007) 265-279, 2007. pdf
11Chad E. Brown. Verifying and Invalidating Textbook Proofs using Scunak. Mathematical Knowledge Management, MKM 2006 110-123, 2006. ps pdf bib
12Chad E. Brown. Combining Type Theory and Untyped Set Theory. 2006. ps pdf bib
13Christoph Benzmüller, Chad E. Brown, Michael Kohlhase. Cut-Simulation in Impredicative Logics. IJCAR 220-234, 2006. bib pdf
14Chad E. Brown. Reasoning in Extensional Type Theory with Equality. CADE 23-37, 2005. bib ps pdf
15Christoph Benzmüller, Chad E. Brown. A Structured Set of Higher-Order Problems. TPHOLs 66-81, 2005. bib pdf
16Chad E. Brown. Solving for Set Variables in Higher-Order Theorem Proving. CADE 408-422, 2002. ps

Articles in Collections

17Christoph Benzmüller, Chad E. Brown, Michael Kohlhase. Cut Elimination with xi-Functionality. Reasoning in Simple Type Theory: Festschrift in Honor of Peter B. Andrews on His 70th Birthday, 2008. bib pdf
18Chad E. Brown. M-Set Models. Reasoning in Simple Type Theory: Festschrift in Honor of Peter B. Andrews on His 70th Birthday, 2008. bib pdf
19Christoph Benzmüller, Chad E. Brown. The Curious Inference of Boolos in Mizar and OMEGA. From Insight to Proof: Festschrift in Honour of Andrzej Trybulec Studies in Logic, Grammar and Rhetoric. Editors R. Matuszewski and A. Zalewska. University of Bialystok. 10(23), 299--386. 2007 bib pdf

Workshops Articles

20Chad E. Brown. Encoding Functional Relations in Scunak. LFMTP'2006, 2006. pdf bib

System Descriptions

21Peter B. Andrews, Matthew Bishop, Chad E. Brown. System Description: TPS: A Theorem Proving System for Type Theory. CADE 164-169, 2000. ps

Technical Reports

22Julian Backes and Chad E. Brown. Analytic Tableaux for Higher-Order Logic with Choice. Technical Report, Saarbrücken, Germany, January 2010. Submitted. Abstract with PDF and BIBTEX
23Chad E. Brown and Gert Smolka. Analytic Tableaux for Simple Type Theory and its First-Order Fragment. Technical Report, Saarbrücken, Germany, December 2009. Submitted. Abstract with PDF and BIBTEX
24Chad E. Brown and Gert Smolka. Complete Cut-Free Tableaux for Equational Simple Type Theory. Technical Report, Saarbrücken, Germany, April 2009 Abstract with PDF and BIBTEX
25Peter B. Andrews, Matthew Bishop, Chad E. Brown, Sunil Issar, Frank Pfenning, Hongwei Xi. ETPS: A System to Help Students Write Formal Proofs. Department of Mathematical Sciences, Carnegie Mellon University. 03-002. 2003.
26Christoph Benzmüller, Chad E. Brown, Michael Kohlhase. Higher Order Semantics and Extensionality. Department of Mathematical Sciences, Carnegie Mellon University. 03-001. 2003.

Working Papers

27Chad E. Brown. Dependently Typed Set Theory. SEKI-Working-Paper SWP--2006--03 (ISSN 1860--5931). SEKI Publications. Saarland Univ., 2006. SEKI Page bib pdf