Compositional timing-aware semantics for synchronous programming

In this paper we propose a WCRT analysis technique for synchronous programs, executed as sequential or multi-threaded code, based on formal power series in min-max-plus algebra. The algebraic model constitutes the first fully declarative timing-aware semantics of synchronous programs with arbitrary hierarchical control-flow structure. Under signal abstraction this model permits efficient compositional WCRT analyses based on structural boxes as the unit of composition. The algebraic model leads to a sound methodology to deal with the state space explosion arising from tick alignment of parallel composition by reduction to the maximum weighted clique problem.