Linear logic Concurrent Constraint programming (LCC) is an extension of concurrent constraint programming (CC) where the constraint system is based on Girard’s linear logic instead of the classical logic. In this talk, we address the problem of observable equivalences for this programming framework. For this purpose, we present a new and truly distributed operational semantics for LCC based on a label transition system. Then we present different notions of observational equivalences inspired by the state of art of Milner’s process calculi.