Séminaire,
3 avril 2014

## Fanny He (University of Bath (UK)), A characterization of the Taylor Expansion of λ-terms

### Programme

- 3 avril 2014, 15:30 - 16:30

### Résumé

The Taylor expansion of λ-terms, as introduced by Ehrhard and Regnier, expresses a λ-term as a series of multi-linear terms, which capture bounded computations. Normal forms of Taylor expansions give a notion of infinitary normal forms, refining the notion of Böhm trees in a quantitative setting. We give the algebraic conditions over a set of normal simple terms which characterize the property of being the normal form of the Taylor expansion of a λ-term. From this full completeness result, we give further conditions which semantically describe normalizable and total λ-terms.