We present the integration of the Kodkod high-level interface to SAT-solvers into the kernel of ProB. As such, predicates from B, Event-B, Z and TLA+ can be solved using a mixture of SAT-solving and ProB's own constraint-solving capabilities developed using constraint logic programming: the first-order parts which can be dealt with by Kodkod and the remaining parts solved by the existing ProB kernel. We also present an extensive empirical evaluation and analyze the respective merits of SAT-solving and classical constraint solving. We also compare to using SMT solvers via recently available translators for Event-B.

In this paper we describe the successful application of the ProB validation tool for several industrial applications. The initial case study centred on the San Juan metro system installed by Siemens. The control software was developed and formally proven with B. However, the development contains certain assumptions about the actual rail network topology which have to be validated separately in order to ensure safe operation. For this task, Siemens has developed custom proof rules for Atelier B. Atelier B, however, was unable to deal with about 80 properties of the deployment (running out of memory). These properties thus had to be validated by hand at great expense (and they need to be revalidated whenever the rail network infrastructure changes).

In this paper we show how we were able to use ProB to validate all of the about 300 properties of the San Juan deployment, detecting exactly the same faults automatically in a few minutes that were manually uncovered in about one man-month. We have repeated this task for three ongoing projects at Siemens, notably the ongoing automatisation of the line 1 of the Paris Metro. Here again, about a man month of effort has been replaced by a few minutes of computation.

This achievement required the extension of the ProB kernel for large sets as well as an improved constraint propagation phase. We also outline some of the effort and features that were required in moving from a tool capable of dealing with medium-sized examples towards a tool able to deal with actual industrial specifications. We also describe the issue of validating ProB, so that it can be integrated into the SIL4 development chain at Siemens.

We provide a detailed description of refinement in Event-B, both as a contribution in itself and as a foundation for the approach to simultaneous animation of multiple levels of refinement that we propose. We present an algorithm for simultaneous multi-level animation of refinement, and show how it can be used to detect a variety of errors that occur frequently when using refinement. The algorithm has been implemented in ProB and we applied it to several case studies, showing that multi-level animation is tractable also on larger models. We present empirical results and discuss how the algorithm can be combined with symmetry reduction.

The development of the Event-B formal method and the supporting tools Rodin and ProB was guided by practical experiences with the B-Method, the Z specification notation, VDM and similar practical formal methods. The case study discussed in this article - a cruise control system - is a serious test of industrial use. We report on where Event-B and its tools have succeeded, where they have not. We also report on advances that were inspired by the case study. Interestingly, the case study was not a pure formal methods problem. In addition to Event-B, it used Problem Frames for capturing requirements. The interaction between the two proved to be crucial for the success of the case study. The heart of the problem was tracing informal requirements from Problem Frames descriptions to formal Event-B models. To a large degree, this issue dictated the approach that had to be used for formal modelling. A dedicated record theory and dedicated tool support were required. The size of the formal models rather than complex individual formulas was the main challenge for tool support.

The size of formal models is steadily increasing and there is a demand from industrial users to be able to use expressive temporal query languages for validating and exploring high-level formal specifications. We present an extension of LTL, which is well adapted for validating B, Z and CSP specifications. We present a generic, flexible LTL model checker, implemented inside the ProB tool, that can be applied to a multitude of formalisms such as B, Z, CSP, B CSP, as well as Object Petri nets, compensating CSP, and dSL. Our algorithm can deal with deadlock states, partially explored state spaces, past operators, and can be combined with existing symmetry reduction techniques of ProB. We establish correctness of our algorithm in general, as well as combined with symmetry reduction. Finally, we present various applications and empirical results of our tool, showing that it can be applied successfully in practice.

We provide a detailed description of refinement in Event-B, both as a contribution in itself and as a foundation for the approach to simultaneous animation of multiple levels of refinement that we propose. We present an algorithm for simultaneous multi-level animation of refinement, and show how it can be used to detect a variety of errors that occur frequently when using refinement. The algorithm has been implemented in ProB and we applied it to several case studies, showing that multi-level animation is tractable also on larger models.

ProB is a model checker for high-level B and Event-B models based on constraint-solving. In this paper we investigate alternate approaches for validating high-level B models using alternative techniques and tools based on using BDDs, SAT-solving and SMT-solving. In particular, we examine whether PROB can be complemented or even supplanted by using one of the tools BDDBDDB, Kodkod or SAL.

In this paper we describe the successful application of the ProB validation tool on an industrial case study. The case study centres on the San Juan metro system installed by Siemens. The control software was developed and formally proven with B. However, the development contains certain assumptions about the actual rail network topology which have to be validated separately in order to ensure safe operation. For this task, Siemens has developed custom proof rules for AtelierB. AtelierB, however, was unable to deal with about 80 properties of the deployment (running out of memory). These properties thus had to be validated by hand at great expense (and they need to be revalidated whenever the rail network infrastructure changes).

In this paper we show how we were able to use ProB to validate all of the about 300 properties of the San Juan deployment, detecting exactly the same faults automatically in around 17 minutes that were manually uncovered in about one man-month. This achievement required the extension of the ProB kernel for large sets as well as an improved constraint propagation phase. We also outline some of the effort and features that were required in moving from a tool capable of dealing with medium-sized examples towards a tool able to deal with actual industrial specifications. Notably, a new parser and type checker had to be developed. We also touch upon the issue of validating ProB, so that it can be integrated into the SIL4 development chain at Siemens

Choreography models describe the communication protocols between services. Testing of service choreographies is an important task for the quality assurance of service-based systems as used e.g. in the context of service-oriented architectures (SOA). The formal modeling of service choreographies enables a model-based integration testing (MBIT) approach. We present MBIT methods for our service choreography modeling approach called Message Choreography Models (MCM). For the model-based testing of service choreographies, MCMs are translated into Event-B models and used as input for our test generator which uses the model checker ProB.

The size of formal models is steadily increasing and there is a demand from industrial users to be able to use expressive temporal query languages for validating and exploring high-level formal specifications. We present an extension of LTL, which is well adapted for validating B, Z and CSP specifications.

We present a generic, flexible LTL model checker, implemented inside the ProB tool, that can be applied to a multitude of formalisms such as B, Z, CSP, B CSP, as well as Object Petri nets, compensating CSP, and dSL. Our algorithm can deal with deadlocking states, partially explored state spaces, past operators, and can be combined with existing symmetry reduction techniques of ProB. We establish correctness of our algorithm in general, as well as combined with symmetry reduction.

Finally, we present various applications and empirical results of our tool, showing that it can be applied successfully in practice.

We present the architecture and implementation of the ProZ tool to validate high-level Z specifications. The tool was integrated into ProB, by providing a translation of Z into B and by extending the kernel of ProB to accommodate some new syntax and data types. We describe the challenge of going from the tool friendly formalism B to the more specification-oriented formalism Z, and show how many Z specifications can be systematically translated into B. We describe the extensions, such as record types and free types, that had to be added to the kernel to support a large subset of Z. As a side-effect, we provide a way to animate and model check records in ProB. By incorporating ProZ into ProB, we have inherited many of the recent extensions developed for B, such as the integration with CSP or the animation of recursive functions. Finally, we present a successful industrial application, which makes use of this fact, and where ProZ was able to discover several errors in Z specifications containing higher-order recursive functions.

This technical report is an extension to the conference paper with the same name. It contains the proofs that were omitted in the conference paper.