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Automated formal analysis methods such as program verification and synthesis algorithms often suffer from time complexity of their decision procedures and also high space complexity known as the state explosion problem. Symbolic techniques, in which elements of a problem are represented by Boolean formulae, are desirable in the sense that they often remedy the state explosion problem and time complexity of decision procedures. Although symbolic techniques have successfully been used in program verification, their benefits have not yet been exploited in the context of program synthesis and transformation extensively. In this paper, we present a symbolic method for automatic synthesis of fault-tolerant distributed programs. Our experimental results on synthesis of classical fault-tolerant distributed problems such as Byzantine agreement and token ring show a significant performance improvement by several orders of magnitude in both time and space complexity. To the best of our knowledge, this is the first illustration where programs with large state space (beyond 2 100 ) is handled during synthesis.

The first international Competition on Runtime Verification (CRV) was held in September 2014, in Toronto, Canada, as a satellite event of the 14th international conference on Runtime Verification (RV'14). The event was organized in three tracks: (1) offline monitoring, (2) online monitoring of C programs, and (3) online monitoring of Java programs. In this paper, we report on the phases and rules, a description of the participating teams and their submitted benchmark, the (full) results, as well as the lessons learned from the competition.

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Although distributed systems are widely used nowadays, their implementation and deployment is still a time-consuming, error-prone, and hardly predictive task. In this paper, we propose a methodology for producing automatically efficient and correct-by-construction distributed implementations by starting from a high-level model of the application software in BIP. BIP (Behavior, Interaction, Priority) is a componentbased framework with formal semantics that rely on multiparty interactions for synchronizing components and dynamic priorities for scheduling between interactions.Our methodology transforms arbitrary BIP models into Send/Receive BIP models, directly implementable on distributed execution platforms. The transformation consists of (1) breaking atomicity of actions in atomic components by replacing strong synchronizations with asynchronous Send/Receive interactions; (2) inserting several distributed controllers that coordinate execution of interactions according to a user-defined partition, and (3) augmenting the model with a distributed algorithm for handling conflicts between controllers. The obtained Send/Receive BIP models are proven observationally equivalent to the initial models. Hence, all the functional properties are preserved by construction in the implementation. Moreover, Send/Receive BIP models can be used to automatically derive distributed implementations. Currently, it is possible to generate stand-alone C++ implementations using either TCP sockets for conventional communication, or MPI implementation, for deployment on multicore platforms. This method is fully implemented. We report concrete results obtained under different scenarios (i.e., partitioning of the interactions and choice of algorithm for distributed conflict resolution).