Weak-linearity, globality and in-place update

Computational interpretations of linear logic allow static control of memory resources: the data produced by the program are endowed through its type with attributes that determine its life cycle. This has promoted numerous investigations into safe introduction of in-place update. Various type systems have been proposed for this aim, but linearity and correctness of in-place update are properties that are not fully compatible. The main achievement of this work is to establish a simple theoretical framework that will allow us to clarify the potential (and limits) of linearity to guarantee the process of transforming a functional program into an imperative one.