Jon Sterling

I am a doctoral student of Robert Harper at Carnegie Mellon University studying type theory, programming languages and semantics. Previously I received a B.A. in Linguistics from U.C. Berkeley. My other interests include category theory, topos theory, formalization of mathematics, Assyriology, and ancient languages and literature.

Research

I study the syntax and semantics of type theory and programming languages through the lens of categorical algebra, with an aim toward building better interactive proof assistants. What mathematics do we need to invent to get computer scientists and logicians to stop counting lentils?

My colleagues and I have developed the redtt proof assistant for Cartesian cubical type theory.

Recent News

Jul. 2019	received ICFP '19 Distinguished Paper Award
Jun. 2019	received FSCD '19 Best Paper Award for Junior Researchers

Recent Drafts

Jan. 2020

Gluing Models of Type Theory Along Flat Functors
J. Sterling and C. Angiuli.

Publications

ICFP '19	Implementing a Modal Dependent Type Theory. D. Gratzer, J. Sterling, and L. Birkedal. International Conference on Functional Programming (ICFP), 2019. Distinguished Paper Award. Preprint, Technical Report, Implementation, Citation
FSCD '19	Cubical Syntax for Reflection-Free Extensional Equality. J. Sterling, C. Angiuli, and D. Gratzer. International Conference on Formal Structures for Computation and Deduction (FSCD), 2019. Best Paper Award For Junior Researchers. Extended Version, Slides, Citation
LFMTP '18	The RedPRL Proof Assistant. C. Angiuli, E. Cavallo, K. Hou (Favonia), R. Harper, and J. Sterling. International Workshop on Logical Frameworks and Meta-Languages: Theory and Practice (LFMTP), 2018. Invited Paper Citation
LICS '18	Guarded Computational Type Theory. J. Sterling, R. Harper. Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS '18). Short Version, Extended Version, Slides, Citation
Apr. 2016	Dependent Types for Pragmatics. D. McAdams, J. Sterling. Redmond J., Pombo Martins O., Nepomuceno Fernández Á. (eds) Epistemology, Knowledge and the Impact of Interaction. Logic, Epistemology, and the Unity of Science, vol 38. Springer, Cham. Citation

Selected Talks

(Conference talks listed with publications.)

Jan. 2020	Gluing Models of Type Theory Along Flat Functors. J. Sterling and C. Angiuli CMU HoTT Seminar.
HoTT '19	Cubical Exact Equality and Categorical Gluing. J. Sterling, C. Angiuli, and D. Gratzer. International Conference on Homotopy Type Theory, 2019.
TYPES '19	XTT: Cubical Syntax for Extensional Equality (without equality reflection). J. Sterling, C. Angiuli, and D. Gratzer. TYPES, 2019.
Apr. 2019	Algebraic Type Theory and the Gluing Construction. CMU HoTT Seminar.
Aug. 2018	redtt: implementing cartesian cubical type theory. C. Angiuli, E. Cavallo, Favonia, R. Harper, A. Mőrtberg, and J. Sterling. Dagstuhl Seminar 18341: Formalization of Mathematics in Type Theory.

Selected Lectures

Fall 2017	Substructural Deduction. Guest lecture for Constructive Logic (15-317).
Fall 2017	Implementing Inference Rules in Standard ML. Tutorial for Constructive Logic (15-317), Fall 2017.

Teaching

Fall 2018	TA for Constructive Logic (15-317) with Karl Crary.
Fall 2017	TA for Constructive Logic (15-317) with Frank Pfenning.

Awards and Honors

2019	ICFP '19 Distinguished Paper Award
2019	FSCD '19 Best Paper Award for Junior Researchers
2011	W.K. Pritchett Prize in Elementary Greek, UC Berkeley

Other Activities

Together with my co-hosts David Christiansen and Darin Morrison, I helped create The Type Theory Podcast.