Parallel Complexity Analysis with Temporal Session Types [article]

Ankush Das, Jan Hoffmann, Frank Pfenning
2018 arXiv   pre-print
We study the problem of parametric parallel complexity analysis of concurrent, message-passing programs. To make the analysis local and compositional, it is based on a conservative extension of binary session types, which structure the type and direction of communication between processes and stand in a Curry-Howard correspondence with intuitionistic linear logic. The main innovation is to enrich session types with the temporal modalities next ( A), always ( A), and eventually ( A), to
more » ... lly prescribe the timing of the exchanged messages in a way that is precise yet flexible. The resulting temporal session types uniformly express properties such as the message rate of a stream, the latency of a pipeline, the response time of a concurrent queue, or the span of a fork/join parallel program. The analysis is parametric in the cost model and the presentation focuses on communication cost as a concrete example. The soundness of the analysis is established by proofs of progress and type preservation using a timed multiset rewriting semantics. Representative examples illustrate the scope and usability of the approach.
arXiv:1804.06013v1 fatcat:ajqgodmbejbbnbnbx2sua6rdhi