|
 |
Vendredi 19 Février
Heure: |
11:00 - 12:00 |
Lieu: |
Salle B107, bâtiment B, Université de Villetaneuse |
Résumé: |
Relational type-checking of connected proof-structures |
Description: |
Luc Pellissier It is possible to define a typing system for Multiplicative Exponential Linear Logic (MELL): in such a system, typing judgments are of the form ? R : x : ?, where R is a MELL proof-structure, ? is the list of types of the conclusions of R, and x an element of the relational interpretation of ?, meaning that x is an element of the relational interpretation of R (of type ?). As relational semantics can be used to infer execution properties of the proof-structure, these judgment can be considered as forms of quantitative typing. We provide an abstract machine that decides, if R satisfies a geometric condition, whether the judgment ? R : x : ? is valid. Also, the machine halts in bilinear time in the sizes of R and x. |
|
|