Current List of Publications

The older publications are not available electronically; please contact me for hard copy.

  • Inner and Outer Models for Constructive Set Theories, in The Handbook of Constructive Mathematics, to appear: Available in pdf format.

  • Feedback Hyperjump, Proceedings of LFCS 2020, Lecture Notes in Computer Science #11972, Springer, 2020, pp. 144-155: Available in pdf format; also, joint with Juan Aguilera, an improved version at Journal of Logic and Computation , Volume 31, Issue 1, January 2021, pp. 20-39, https://doi.org/10.1093/logcom/exaa085.

  • Notions of Cauchyness and Metastability, joint with Hannes Diener, Proceedings of LFCS 2018, Lecture Notes in Computer Science #10703, Springer, 2018, pp. 140-153: Available in pdf format; also an improved version at Journal of Logic and Computation , Volume 30, Issue 8, December 2020, pp. 1487-1504, https://doi.org/10.1093/logcom/exaa046.

  • An Introduction to Feedback Turing Computability, joint with Nathanael Ackerman and Cameron Freer, Journal of Logic and Computation, Volume 30, Issue 1, January 2020, pp. 27-60, https://doi.org/10.1093/logcom/exaa002: Available in pdf format.

  • Feedback Computability on Cantor Space, joint with Nathanael Ackerman and Cameron Freer, LICS 2015 issue, Logical Methods in Computer Science, Volume 15, Issue 2 (2019), pp. 7:1 - 7:18, see here: Available in pdf format.

  • Separating the Fan Theorem and Its Weakenings II, Proceedings of LFCS 2018, Lecture Notes in Computer Science #10703, Springer, 2018, pp. 242-255: Available in pdf format; also Journal of Symbolic Logic, 84 (2019), pp. 1484-1509, doi: 10.1017/jsl.2019.1: Available in pdf format.

  • Parallel Feedback Turing Computability, in Proceedings of LFCS '16, Lecture Notes in Computer Science #9537 (Sergei N. Artemov and Anil Nerode, eds.), Springer, 2016, pp. 236-250: Available in pdf format.

  • Feedback Turing Computability, and Turing Computability as Feedback, joint with Nathanael Ackerman and Cameron Freer, Proceedings of LICS 2015, Kyoto: Available in pdf format.

  • Choice and the Hat Game, joint with Stefan Geschke and Mona Rahn, Research Institute for Mathematical Sciences, Kyoto University, Kokyuroku series #1949, 2015, pp. 34-44: Available in pdf format.

  • Separating fragments of WLEM, LPO, and MP, joint with Matt Hendtlass, Journal of Symbolic Logic, 81, No. 4 (2016), pp. 1315-1343, doi: 10.1017/jsl.2016.38: Available in pdf format.

  • Elementary Epimorphisms between Models of Set Theory, joint with Norman Lewis Perlmutter, Archive for Mathematical Logic, 55 (2016), pp. 759-766: Available in pdf format.

  • On Extensions of Supercompactness, joint with Norman Lewis Perlmutter, Mathematical Logic Quarterly, 61, No. 3 (2015), pp. 217-223, doi: 10.1002/malq.201400030: Available in pdf format.

  • Realizability Models Separating Various Fan Theorems, joint with Michael Rathjen, Proceedings, Computability in Europe 2013, Lecture Notes in Computer Science #7921 (Bonizzoni, Brattka, and Loewe, eds.), Springer, 2013, pp. 306-315: Available in pdf format.

  • Separating the Fan Theorem and Its Weakenings, joint with Hannes Diener, in Proceedings of LFCS '13, Lecture Notes in Computer Science #7734 (Sergei N. Artemov and Anil Nerode, eds.), Springer, 2013, pp. 280-295; also Journal of Symbolic Logic, 79, No. 3 (2014), pp. 792-813, doi: 10.1017/jsl.2014.9, electronically at http://journals.cambridge.org/repo_A93dDBX7: Available in pdf, dvi, and ps formats. Also available, along with the BD-N results in the following paper, as slides.

  • Principles Weaker than BD-N, joint with Hannes Diener, Journal of Symbolic Logic, 78, No. 3 (2013), pp. 873-885: Available in pdf, dvi, and ps formats. Also available, along with the Fan Theorem results in the preceding paper, as slides.

  • Walker's Cancellation Theorem, joint with Fred Richman, Communications in Algebra, 42, No. 4 (2014), pp. 1644-1649, doi: 10.1080/00927872.2012.747598: Available in pdf format.

  • The Kripke Schema in Metric Topology, joint with Fred Richman and Peter Schuster, Mathematical Logic Quarterly, 58, No. 6 (2012), pp. 498-501, doi: 10.1002/malq.201200018: Available in pdf format.

  • On the Structure of Honest Elementary Degrees, joint with Lars Kristiansen, Jan-Christoph Schlage-Puchta, and Andreas Weiermann, Proceedings of the 2009-2011 CRM Infinity Project : Available in pdf format.

  • Feedback ITTMs and Sigma-0-3-Determinacy: Available as slides.

  • On the Failure of BD-N, Journal of Symbolic Logic, 78, No. 1 (2013), pp. 39-56: Available in pdf, dvi, and ps formats. Also available as slides.

  • Geometric Spaces with No Points, Journal of Logic and Analysis, http://logicandanalysis.org/, 2, No. 6 (2010), pp. 1-10, doi 10.4115/jla2010.2.6: Available in pdf, dvi, and ps formats. Also available as slides.

  • Zero Sets of Univariate Polynomials, joint with Fred Richman, Transaction of the AMS, 362 (2010), pp. 6619-6632: Available in pdf and dvi formats. Also available as slides under the name "The Weak Fundamental Theorem of Algebra."

  • Topological Forcing Semantics with Settling, Proceedings of LFCS '09, Lecture Notes in Computer Science (Sergei N. Artemov and Anil Nerode, eds.), Springer, 2009; also Annals of Pure and Applied Logic, 163 (2012), pp. 820-830, doi 10.1016/j.apal.2011.09.014: Available in pdf, dvi, and ps formats, and as slides.

  • Well-founded Iterations of Infinite Time Turing Machines, in Ways of Proof Theory (Ralf Schindler, ed.), Ontos, 2010: Available in pdf, dvi, and ps formats, and as slides.

  • Signed-Bit Representations of Real Numbers, joint with Fred Richman, Journal of Logic and Analysis, http://logicandanalysis.org/, 1, No. 18 (2009), pp. 1-18, doi 10.4115/jla.2009.1.10: Available in pdf, dvi, and ps formats, and as slides.

  • On the Constructive Dedekind Reals, joint with Michael Rathjen, Proceedings of LFCS '07, Lecture Notes in Computer Science #4514 (Sergei N. Artemov and Anil Nerode, eds.), Springer, 2007, pp. 349-362, also Logic and Analysis, 1, No. 2 (2008), pp. 131-152: Available in pdf, dvi, and ps formats. (The journal Logic and Analysis is now accessible via the website for The Journal of Logic and Analysis here.)

  • On the Cauchy Completeness of the Constructive Cauchy Reals, Mathematical Logic Quarterly, 53, No. 4-5 (2007), pp. 396-414: Available in pdf, dvi, and ps formats.

  • CZF and Second Order Arithmetic, Annals of Pure and Applied Logic, 141 (2006), pp. 29-34: Available in pdf, dvi, and ps formats.

  • Independence Results around Constructive ZF, Annals of Pure and Applied Logic, 132, No. 2-3 (2005), pp. 209-225: Available in pdf, dvi, and ps formats.

  • On the Regular Extension Axiom and Its Variants (joint with Michael Rathjen), Mathematical Logic Quarterly, 49, No. 5 (2003), pp. 511-518: Available in pdf format; see also Rathjen's home page.

  • IKP and Friends, Journal of Symbolic Logic, 67 (2002), pp. 1295-1322: Available in pdf, dvi, and ps formats.

  • Intuitionistic L, in Logical Methods in Computer Science: The Nerode Conference (Crossley et al., eds.), Birkhauser, 1993, pp. 555-571: Available here.

  • μ-definable Sets of Integers, Journal of Symbolic Logic, 58 (1993), pp. 291-313

  • An Introduction to γ-recursion Theory, Journal of Symbolic Logic, 55 (1990), pp. 194-206

  • μ-definable Sets of Integers, Proceedings of the 4th Annual Symposium on Logic in Computer Science, IEEE Computer Society Press, 1989, pp. 343-352

  • There's No Forcing a Least Uper Bound, Proceedings of the American Mathematical Society, 105 (1989), pp. 998-1002

  • Sacks Forcing Sometimes Needs Help to Produce a Minimal Upper Bound, Journal of Symbolic Logic, 54 (1989), pp. 490-498

  • Definability and Initial Segments of c-degrees, Journal of Symbolic Logic, 53 (1988), pp. 1070-1081

  • Admissibility Spectra and Minimality, Annals of Pure and Applied Logic, 40 (1988), pp. 257-276

  • Playing with Admissibility Spectra, Israel Journal of Mathematics, 63 (1988), pp. 243-256

  • Another Extension of Van de Wiele's Theorem, Annals of Pure and Applied Logic, 38 (1988), pp. 301-306

  • Hook-up Security and Generalized Restrictiveness, Proceedings of the 12th National Computer Security Conference, Baltimore, pp. 111-122

  • The SDOS Project -- Verifying Hook-Up Security, Proceedings of the 1987 Aerospece Computer Security Conference, Orlando, Florida , AIAA (with Doug Weber)

  • Simple R.E. Degree Structures, Journal of Symbolic Logic, 52 (1987), pp. 203-213

  • Uncountable Master Codes and the Jump Hierarchy, Journal of Symbolic Logic, 52 (1987), pp. 952-958

  • Lattices of c-degrees, Annals of Pure and Applied Logic, 36 (1987), pp. 115-118

  • Admissibility Spectra through Aleph-1, Israel Journal of Mathematics, 60 (1987), pp. 225-235