Linear Logic: from Stochastic Analysis to Software Testing

In this talk we continue the research presented at the last edition of BCTCS. We have presented a linear logical framework, which provides a constructive logical foundation for Pure and Applied Mathematics, particularly to Stochastic Analysis. In this work we extend the framework to provide a logical foundation to Software Testing. The phase semantics of Linear Logic is interpreted in terms of testing activities and logical operations provide in this way tests operators. Connections with our previous work in formal testing in a categorical logic setting are also sketched.