Since 1986, Barendregt has taught at Radboud University Nijmegen, where he now holds the Chair of Foundations of Mathematics and Computer Science. His research group works on Constructive Interactive Mathematics. He is also adjunct professor at Carnegie Mellon University, Pittsburgh, US. He has been a visiting scholar at Darmstadt, ETH Zürich, Siena, and Kyoto.
H.P. Barendregt (1984). The Lambda Calculus — Its Syntax and Semantics. Studies in Logic and the Foundations of Mathematics. Vol. 103. Amsterdam: North-Holland. ISBN0-444-87508-5. — See Errata
H.P. Barendregt (2001). "Computing and Proving (invited lecture)". In Middeldorp, A. (ed.). Rewriting Techniques and Applications, 12th Int. Conf., RTA-01. LNCS. Vol. 2051. Springer.
H.P. Barendregt, W. Dekkers and R. Statman (2013). Lambda Calculus with Types. Perspectives in Logic. Cambridge University Press. ISBN978-052-176-614-2.
H.P. Barendregt and G. Manzonetto (2022). A Lambda Calculus Satellite. Mathematical Logic and Foundations. College Publications. ISBN978-1-84890-415-6.
^"NWO Spinoza Prize 2002". Netherlands Organisation for Scientific Research. 5 September 2014. Archived from the original on 3 March 2016. Retrieved 30 January 2016.