Lifting infinite normal form definitions from term rewriting to term graph rewriting

Infinite normal forms are a way of giving semantics to non-terminating rewrite systems. The notion is a generalization of the Boehm tree in the lambda calculus. It was first introduced in [AB97] to provide semantics for a lambda calculus on terms with letrec. In that paper infinite normal forms were defined directly on the graph rewrit e system. In [Blo01] the framework was improved by defining the infinite normal form of a term graph using the infinite normal form on terms. This approach of lifting the definition makes the non-confluence problems introduced into term graph rewriting by substitution rules much easier to deal with. In this paper, we give a simplified presentation of the latter approach

Parallel Recursive State Compression for Free

This paper focuses on reducing memory usage in enumerative model checking, while maintaining the multi-core scalability obtained in earlier work. We present a tree-based multi-core compression method, which works by leveraging sharing among sub-vectors of state vectors. An algorithmic analysis of both worst-case and optimal compression ratios shows the potential to compress even large states to a small constant on average (8 bytes). Our experiments demonstrate that this holds up in practice: the median compression ratio of 279 measured experiments is within 17% of the optimum for tree compression, and five times better than the median compression ratio of SPIN's COLLAPSE compression. Our algorithms are implemented in the LTSmin tool, and our experiments show that for model checking, multi-core tree compression pays its own way: it comes virtually without overhead compared to the fastest hash table-based methods.Comment: 19 page

Simulated time for testing railway interlockings with TTCN-3

In this report, we first give an overview of software systems based on Vital Processor Interlocking (VPI). Interlockings guarantee safety of railway control systems, so testing these software systems is a key issue. We show why testing such systems with real time and scaled time is inefficient. We also provide a time semantics for simulated time that is more suitable for testing VPI's software. We provide a solution that allows simulated time for TTCN-3 test systems. TTCN-3 is a standard language for specifying and executing test suites. In the context of the TT-MEDAL project, TTCN-3 is applied to various domains, in particular to testing railway and automotive systems. TTCN-3 supports real-time and scaled-time testing but not simulated-time testing. The solution is based on a distributed termination detection algorithm that we extend to provide the main ingredients of simulated time: idleness detection and correct time progress. We implemented our solution as a TTCN-3 module and several Java classes that can be reused for testing other systems that have characteristics similar to those of VPI

Confluence reduction for Markov automata

Markov automata are a novel formalism for specifying systems exhibiting nondeterminism, probabilistic choices and Markovian rates. Recently, the process algebra MAPA was introduced to efficiently model such systems. As always, the state space explosion threatens the analysability of the models generated by such specifications. We therefore introduce confluence reduction for Markov automata, a powerful reduction technique to keep these models small. We define the notion of confluence directly on Markov automata, and discuss how to syntactically detect confluence on the MAPA language as well. That way, Markov automata generated by MAPA specifications can be reduced on-the-fly while preserving divergence-sensitive branching bisimulation. Three case studies demonstrate the significance of our approach, with reductions in analysis time up to an order of magnitude

Forgetting the Time in Timed Process Algebra

In this paper, we propose the notion of partial time abstraction for timed process algebras, which introduces the possibility to abstract away parts of the timing of system behaviour. Adding this notion leads to so-called partially timed process algebras and partially timed labelled transition systems. We describe these notions, and generalise timed branching bisimilarity to partially timed branching bisimilarity, allowing the comparison of systems with partial timing. Finally, with several examples and a case study, we demonstrate how partial time abstraction can be a useful modelling technique for timed models, which can lead to rigorous minimisations of state spaces

Distributed state space minimization

We present a new algorithm, and its distributed implementation, for reducing labeled transition systems modulo strong bisimulation. The base of this algorithm is the Kanellakis–Smolka "naive method", which has a high theoretical complexity but is successful in practice and well suited to parallelization. This basic approach is combined with optimizations inspired by the Kanellakis–Smolka algorithm for the case of bounded fanout, which has the best known time complexity. The distributed implementation is improved with respect to previous attempts by a better overlap between communication and computation, which results in an efficient usage of both memory and processing power. We also discuss the time complexity of this algorithm and show experimental results with sequential and distributed prototype tools