Alexander Bentkamp

I am a PhD candidate in the Theoretical Computer Science section of the Vrije Universiteit Amsterdam, Netherlands. My PhD is part of the Matryoshka project, where I work on extending the superposition calculus to higher-order logic. I am also collaborating with the Lean Forward project. My PhD supervisors are Jasmin Blanchette, Wan Fokkink, and Uwe Waldmann. Before my PhD, I studied mathematics and computational linguistics.

Email: a.bentkampvu.nl

Phone: +31 20 598 9544

Address:
Vrije Universiteit Amsterdam
Department of Computer Science
Section Theoretical Computer Science
De Boelelaan 1111, 1081 HV Amsterdam, The Netherlands
Room: 12A71


Drafts:

Superposition with lambdas
Alexander Bentkamp, Jasmin Blanchette, Sophie Tourret, Petar Vukmirović, and Uwe Waldmann.
Draft article (PDF)

The Embedding Path Order for Lambda-Free Higher-Order Terms
Alexander Bentkamp.
Draft paper (PDF)Supplementary materialSlides (PDF)

Superposition for lambda-free higher-order logic
Alexander Bentkamp, Jasmin Blanchette, Simon Cruanes, and Uwe Waldmann.
Draft article (PDF)Supplementary material

Publications:

Efficient full higher-order unification
Petar Vukmirović, Alexander Bentkamp, and Visa Nummelin. In Ariola, Z.M. (ed.), 5th International Conference on Formal Structures for Computation and Deduction (FSCD 2020), LIPIcs 167, pp. 5:1–5:17, Schloss Dagstuhl—Leibniz-Zentrum für Informatik, 2020.
Web pagePostprint (PDF)Report (PDF)

Superposition with lambdas
Alexander Bentkamp, Jasmin Christian Blanchette, Sophie Tourret, Petar Vukmirović, and Uwe Waldmann. In Fontaine, P. (ed.) 27th International Conference on Automated Deduction (CADE-27), LNCS 11716, pp. 55–73, Springer, 2019.
Web pagePostprint (PDF)Report (PDF)Slides (PDF)

A formal proof of the expressiveness of deep learning
Alexander Bentkamp, Jasmin Christian Blanchette, and Dietrich Klakow. Journal of Automated Reasoning 63(2), pp. 347-368, 2019.
Web pagePostprint (PDF)

Superposition for lambda-free higher-order logic
Alexander Bentkamp, Jasmin Christian Blanchette, Simon Cruanes, and Uwe Waldmann. In Galmiche, D., Schulz, S., Sebastiani, R. (eds.) 9th International Joint Conference on Automated Reasoning (IJCAR 2018), LNCS 10900, pp. 28–46, Springer, 2018.
Web pagePostprint (PDF)Report (PDF)Slides (PDF)Supplementary material

A formal proof of the expressiveness of deep learning
Alexander Bentkamp, Jasmin Christian Blanchette, and Dietrich Klakow. In Ayala-Rincón, M., Muños, C. A. (eds.) 8th Conference on Interactive Theorem Proving (ITP 2017), LNCS 10499, pp. 46–64, Springer, 2017.
Web pagePostprint (PDF)Slides (PDF)

An Isabelle formalization of the expressiveness of deep learning (extended abstract)
Alexander Bentkamp, Jasmin Christian Blanchette, and Dietrich Klakow. In Hales, T. C., Kaliszyk, C., Schulz, S., Urban, J. (eds.) 2nd Conference on Artificial Intelligence and Theorem Proving (AITP 2017), pp. 22–23.
Abstract (PDF)Slides (PDF)

Theses:

An Isabelle formalization of the expressiveness of deep learning
Alexander Bentkamp. M.Sc. thesis, Universität des Saarlandes, 2016.
M.Sc. Thesis (PDF)

Homologische Betrachtung des Alexanderpolynoms
Alexander Bentkamp. B.Sc. thesis, Georg-August-Universität Göttingen, 2013.
B.Sc. Thesis (PDF)

Formal proof developments:

Embedding Path Order for Lambda-Free Higher-Order Terms
Alexander Bentkamp. Archive of Formal Proofs, 2018.
Formal proof development

Expressiveness of deep learning
Alexander Bentkamp. Archive of Formal Proofs, 2016.
Formal proof development

Latin Square
Alexander Bentkamp. Archive of Formal Proofs, 2016.
Formal proof development

Teaching: