An affine-intuitionistic system of types and effects: confluence and termination

Roberto Amadio (1) , Patrick Baillot (2) , Antoine Madet (1)

1 PPS - Preuves, Programmes et Systèmes
2 LIP - Laboratoire de l'Informatique du Parallélisme

We present an affine-intuitionistic system of types and effects which can be regarded as an extension of Barber-Plotkin Dual Intuitionistic Linear Logic to multi-threaded programs with effects. In the system, dynamically generated values such as references or channels are abstracted into a finite set of regions. We introduce a discipline of region usage that entails the confluence (and hence determinacy) of the typable programs. Further, we show that a discipline of region stratification guarantees termination.

Domaines: Logique en informatique [cs.LO]

Roberto Amadio, Patrick Baillot, Antoine Madet. An affine-intuitionistic system of types and effects: confluence and termination. 2010. ⟨hal-00438101v2⟩