David Knothe and Oliver Bringmann - Combining Big and Small-Step Semantics to Verify Loop Optimizations

See the paper at https://arxiv.org/abs/2602.19868:

 
See Patrick Cousot & Radhia Cousot. Abstract interpretation and application to logic programs. Journal of Logic Programming, 13(2--3):103--179, 1992, and also Coinductive big-step operational semantics by Xavier Leroy and Hervé Grall and Big-Stop Semantics: Small-Step Semantics in a Big-Step Judgment by David M. Kahn, Jan Hoffmann and Runming Li.

 

Starts at around 3 hours. 

See also Patrick Bahr - Safety First: How to Safely Disregard Unsafe Behaviour in Compiler Calculations. 

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