A demo implementation of a simple bidirectional type-checker (for STLC) in Lean 4.
Presentation recording: https://www.youtube.com/watch?v=BL-OXeTtw1g
Slides: https://drive.google.com/file/d/1qAx97cydrJ6qP8dCV5wrivXamKXLyGfD/view?usp=sharing
Pfenning, Frank (2004). Lecture notes for 15-312: Foundations of Programming Languages
Christiansen, D. R. (2013). Bidirectional typing rules: A tutorial
Dunfield, J., & Krishnaswami, N. (2021). Bidirectional typing. ACM Computing Surveys (CSUR), 54(5), 1-38