Timed Concurrent Constraint Programming Research Articles

A Symbolic Model for Timed Concurrent Constraint Programming

Concurrent Constraint Programming (ccp) is a model for concurrency where agents interact with each other by telling and asking constraints (i.e., formulas in logic) into a shared store of partial information. The ntcc calculus extends ccp with the notion of discrete time-units for the specification of reactive systems. Moreover, ntcc features constructors for non-deterministic choices and asynchronous behavior, thus allowing for (1) synchronization of processes via constraint entailment during a time-unit and (2) synchronization of processes along time-intervals. In this paper we develop the techniques needed for the automatic verification of ntcc programs based on symbolic model checking. We show that the internal transition relation, modeling the behavior of processes during a time-unit (1 above), can be symbolically represented by formulas in a suitable fragment of linear time temporal logic. Moreover, by using standard techniques as difference decision diagrams, we provide a compact representation of these constraints. Then, relying on a fixpoint characterization of the timed constructs, we obtain a symbolic model of the observable transition (2 above). We prove that our construction is correct with respect to the operational semantics. Finally, we introduce a prototypical tool implementing our method.

A Framework for Timed Concurrent Constraint Programming with External Functions

The timed concurrent constraint programming language (tccp in short) was introduced for modeling reactive systems. This language allows one to model in a very intuitive way typical ingredients of these systems such as timeouts, preemptions, etc. However, there is no natural way for modeling other desirable features such as functional computations, for example for calculating arithmetic results. In fact, although it is certainly possible to implement such kind of operations, each single step of the computation takes time in tccp, and avoiding interferences with the intended overall behavior of the (reactive) system is quite involved.In this paper, we propose an extension of tccp for modeling instantaneous computations which improves the expressiveness of the language, in the sense that operations that are cumbersome to implement in pure tccp, are executed by calling an efficient, external functional engine, while the tccp programmer can focus on the pure, and usually more complex, reactive part of the system. We also describe a case study which motivates the work, and discuss how the new capability presented here can also be used as a new tool for developers from the verification point of view.

Timed Concurrent Constraint Programming for Analysing Biological Systems

In this paper we present our first approach to model and verify biological systems using ntcc, a concurrent constraint process calculus. We argue that the partial information constructs in ntcc can provide a suitable language for such systems. We also illustrate how ntcc may provide a unified framework for the analysis of biological systems, as they can be described, simulated and verified using the elements provided by the calculus.

An axiomatic semantics for the synchronous language Gentzen

We propose an axiomatic semantics for the synchronous language Gentzen, which is an instantiation of the paradigm Timed Concurrent Constraint Programming proposed by Saraswat, Jagadeesan and Gupta. We view Gentzen as a prototype of the class of state-oriented synchronous languages, since it offers the basic constructs that are shared by the languages in the class. Since synchronous concurrency cannot be simulated by arbitrary interleaving, we cannot exploit “head normal forms”, on which axiomatic theories for asynchronous process calculi are based. We suggest how axiomatic semantics for other state-oriented synchronous languages can be obtained by expressing constructs of such languages in terms of Gentzen constructs.

Modeling Concurrent systems specified in a Temporal Concurrent Constraint language-I

In this paper we present an approach to model concurrent systems specified in a temporal concurrent constraint language. Our goal is to construct a framework in which it is possible to apply the Model Checking technique to programs specified in such language.This work is the first step to the framework construction. We present a formalism to transform a specification into a tcc Structure. This structure is a graph representation of the program behavior.Our basic tool is the Timed Concurrent Constraint Programming (tcc) framework defined by Saraswat et al. to describe reactive systems. With this language we take advantage of both the natural properties of the declarative paradigm and of the fact that the notion of time is built into the semantics of the programming language. In fact, on this ground it becomes reasonable to introduce the idea of applying the technique of Model Checking to a finite time interval (introduced by the user). With this restriction we naturally force the space representing the behavior of the program to be finite and hence Model Checking algorithms to be applicable. The graph construction is a completely automatic process that takes as input the tcc specification.

On the expressiveness of Timed Concurrent Constraint Programming

We prove that both the synchronous data flow language Lustre restricted to finite value types and the synchronous state oriented language Argos are embedded in the synchronous paradigm Timed Concurrent Constraint (tcc). In fact, for each of the two languages we provide a tcc language encoding it compositionally w.r. to the structure of programs. Moreover, we prove that the “strong abortion” mechanism of the synchronous imperative language Esterel can be encoded in tcc.