# LSV Seminar

The LSV seminar takes place on Tuesday at 11:00 AM. The usual location is the conference room at Pavillon des Jardins (venue).
If you wish to be informed by e-mail about upcoming seminars, please contact Stéphane Le Roux and Matthias Fuegger.

The seminar is open to public and does not require any form of registration.

## Past Seminars

### A semantic study of higher-order model-checking

- Date
- Tuesday, March 03 2015 at 11:00AM
- Place
- Salle de Conférence (Pavillon des Jardins)
- Speaker
- Charles Grellois (University Paris 7)

Using higher-order recusion schemes, one can model the computation flow
of functional programs, and produce trees abstracting their set of
executions. The higher-order model-checking problem is concerned with
the verification of a logical property -- typically expressed in monadic
second-order logic -- over this tree. A key feature of this logic being
that it allows to express finitary as well as infinitary properties.

Ong proved the decidability of this problem in 2006 using game
semantics to analyze higher-order recursion. Since then, other semantic
approaches lead to alternate proofs, each of them bringing a new
semantic insight to the problem. One of them, by Kobayashi and Ong, made
use of intersection types.

In this talk, I will introduce the higher-order model-checking problem,
and explain how Paul-André Melliès and I could obtain a new proof of
Ong's decidability result by carefully analyzing the Kobayashi-Ong type
system at the light of linear logic and of its semantics.