540 research outputs found
Testing Non-termination in Multi-threaded programs
We study the problem of detecting non - termination in multi - threaded programs due to unwanted race conditions. We claim that the cause of non-termination can be attributed to the presence of at least two loops in two different threads, where the valuations of the loop controlling parameters are inter-dependent, i.e., value of one parameter in one thread depends on the execution sequence in the other thread and vice versa. In this thesis, we propose a testing based technique to analyze finite execution sequences and infer the likelihood of non-termination scenarios. Our technique is a light weight, flexible testing based approach that can be paired with any testing technique. We claim that testing based methods are likely to be scalable to large programs as opposed to static analysis methods. We present an outline of our implementation and prove the feasibility of our approach by presenting case studies on tailored sample programs. We discuss the applicability of our approach to real world larger programs through experimental results. We conclude by discussing the limitations of our approach and future avenues of research along this line of work
Proving Nontermination via safety
We show how the problem of nontermination proving can be reduced to a question of underapproximation search guided by a safety prover. This reduction leads to new nontermination proving implementation strategies based on existing tools for safety proving. Our preliminary implementation beats existing tools. Furthermore, our approach leads to easy support for programs with unbounded nondeterminism
Liveness of Randomised Parameterised Systems under Arbitrary Schedulers (Technical Report)
We consider the problem of verifying liveness for systems with a finite, but
unbounded, number of processes, commonly known as parameterised systems.
Typical examples of such systems include distributed protocols (e.g. for the
dining philosopher problem). Unlike the case of verifying safety, proving
liveness is still considered extremely challenging, especially in the presence
of randomness in the system. In this paper we consider liveness under arbitrary
(including unfair) schedulers, which is often considered a desirable property
in the literature of self-stabilising systems. We introduce an automatic method
of proving liveness for randomised parameterised systems under arbitrary
schedulers. Viewing liveness as a two-player reachability game (between
Scheduler and Process), our method is a CEGAR approach that synthesises a
progress relation for Process that can be symbolically represented as a
finite-state automaton. The method is incremental and exploits both
Angluin-style L*-learning and SAT-solvers. Our experiments show that our
algorithm is able to prove liveness automatically for well-known randomised
distributed protocols, including Lehmann-Rabin Randomised Dining Philosopher
Protocol and randomised self-stabilising protocols (such as the Israeli-Jalfon
Protocol). To the best of our knowledge, this is the first fully-automatic
method that can prove liveness for randomised protocols.Comment: Full version of CAV'16 pape
Disproving termination with overapproximation
When disproving termination using known techniques (e.g. recurrence sets), abstractions that overapproximate the program’s transition relation are unsound. In this paper we introduce live abstractions, a natural class of abstractions that can be combined with the recent concept of closed recurrence sets to soundly disprove termination. To demonstrate the practical usefulness of this new approach we show how programs with nonlinear, nondeterministic, and heap-based commands can be shown nonterminating using linear overapproximations
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