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## Section: New Results

### Factorization and Normalization, Essentially

Participant : Beniamino Accattoli.

This joint work with Claudia Faggian (CNRS researcher at Paris Diderot) and Giulio Guerrieri (Post-doc at Bath University) [15] refines a rewriting technique for proving factorization and normalization theorems for $\lambda$-calculi, that are theorems providing foundations to the design of functional programming languages and proof assistants. We both simplify and extend the scope of a widely used technique by Takahashi. At the concrete level, the new abstract technique is applied to four relevant case studies.