Reactive concurrent programming revisited

In this note we revisit the so-called reactive programming style, which evolves from the synchronous programming model of the Esterel language by weakening the assumption that the absence of an event can be detected instantaneously. We review some research directions that have been explored since the emergence of the reactive model ten years ago. We shall also outline some questions that remain to be investigated

Feasible reactivity in a synchronous pi-calculus

Reactivity is an essential property of a synchronous program. Informally, it guarantees that at each instant the program fed with an input will `react' producing an output. In the present work, we consider a refined property that we call ` feasible reactivity'. Beyond reactivity, this property guarantees that at each instant both the size of the program and its reaction time are bounded by a polynomial in the size of the parameters at the beginning of the computation and the size of the largest input. We propose a method to annotate programs and we develop related static analysis techniques that guarantee feasible reactivity for programs expressed in the S-pi-calculus. The latter is a synchronous version of the pi-calculus based on the SL synchronous programming model

Type-based complexity analysis for fork processes

International audienceWe introduce a type system for concurrent programs described as a parallel imperative language using while-loops and fork/wait instructions, in which processes do not share a global memory, in order to analyze computational complexity. The type system provides an analysis of the data-flow based both on a data ramification principle related to tiering discipline and on secure typed languages. The main result states that well-typed processes characterize exactly the set of functions computable in polynomial space under termination, confluence and lock-freedom assumptions. More precisely, each process computes in polynomial time so that the evaluation of a process may be performed in polynomial time on a parallel model of computation. Type inference of the presented analysis is decidable in linear time provided that basic operator semantics is known

Fine-grained and coarse-grained reactive noninterference

International audienceWe study the security property of noninterference in a core synchronous reactive language that we call CRL. In the synchronous reactive paradigm, programs communicate by means of broadcast events, and their parallel execution is regulated by a notion of instant. We first show that CRL programs are indeed reactive, namely that they always converge to a state of termination or suspension ("end of instant") in a finite number of steps. We define two bisimulation equivalences on CRL programs, corresponding respectively to a fine-grained and to a coarse-grained observation of programs. We show that coarse-grained bisimilarity is more abstract than fine-grained bisimilarity, as it is insensitive to the order of generation of events and to repeated emissions of the same event during an instant. Based on these bisimulations, two properties of Reactive Noninterference (RNI) are introduced, formalising secure information flow. Both properties are time-insensitive and termination-insensitive. Again, coarse-grained RNI is more abstract than fine-grained RNI. Finally, a type system guaranteeing both security properties is presented. Thanks to a design choice of CRL, which offers two separate constructs for loops and iteration, and to refined typing rules, this type system allows for a precise treatment of termination leaks, which are an issue in parallel languages

The SL synchronous language, revisited

International audienceWe revisit the SL synchronous programming model introduced by Boussinot and De Simone (IEEE, Trans. on Soft. Eng., 1996). We discuss an alternative design of the model including thread spawning and recursive definitions and we explore some basic properties of the revised model: determinism, reactivity, CPS translation to a tail recursive form, computational expressivity, and a compositional notion of program equivalence

Feasible reactivity for synchronous cooperative threads

We are concerned with programs composed of cooperative threads whose execution proceeds in synchronous rounds called instants. We develop static analysis methods to guarantee that each instant terminates in time polynomial in the size of the parameters of the program at the beginning of the computation