@phdthesis{6894,
abstract = {Hybrid automata combine finite automata and dynamical systems, and model the interaction of digital with physical systems. Formal analysis that can guarantee the safety of all behaviors or rigorously witness failures, while unsolvable in general, has been tackled algorithmically using, e.g., abstraction, bounded model-checking, assisted theorem proving.
Nevertheless, very few methods have addressed the time-unbounded reachability analysis of hybrid automata and, for current sound and automatic tools, scalability remains critical. We develop methods for the polyhedral abstraction of hybrid automata, which construct coarse overapproximations and tightens them incrementally, in a CEGAR fashion. We use template polyhedra, i.e., polyhedra whose facets are normal to a given set of directions.
While, previously, directions were given by the user, we introduce (1) the first method
for computing template directions from spurious counterexamples, so as to generalize and
eliminate them. The method applies naturally to convex hybrid automata, i.e., hybrid
automata with (possibly non-linear) convex constraints on derivatives only, while for linear
ODE requires further abstraction. Specifically, we introduce (2) the conic abstractions,
which, partitioning the state space into appropriate (possibly non-uniform) cones, divide
curvy trajectories into relatively straight sections, suitable for polyhedral abstractions.
Finally, we introduce (3) space-time interpolation, which, combining interval arithmetic
and template refinement, computes appropriate (possibly non-uniform) time partitioning
and template directions along spurious trajectories, so as to eliminate them.
We obtain sound and automatic methods for the reachability analysis over dense
and unbounded time of convex hybrid automata and hybrid automata with linear ODE.
We build prototype tools and compare—favorably—our methods against the respective
state-of-the-art tools, on several benchmarks.},
author = {Giacobbe, Mirco},
issn = {2663-337X},
pages = {132},
publisher = {IST Austria},
title = {{Automatic time-unbounded reachability analysis of hybrid systems}},
doi = {10.15479/AT:ISTA:6894},
year = {2019},
}
@phdthesis{1155,
abstract = {This dissertation concerns the automatic verification of probabilistic systems and programs with arrays by statistical and logical methods. Although statistical and logical methods are different in nature, we show that they can be successfully combined for system analysis. In the first part of the dissertation we present a new statistical algorithm for the verification of probabilistic systems with respect to unbounded properties, including linear temporal logic. Our algorithm often performs faster than the previous approaches, and at the same time requires less information about the system. In addition, our method can be generalized to unbounded quantitative properties such as mean-payoff bounds. In the second part, we introduce two techniques for comparing probabilistic systems. Probabilistic systems are typically compared using the notion of equivalence, which requires the systems to have the equal probability of all behaviors. However, this notion is often too strict, since probabilities are typically only empirically estimated, and any imprecision may break the relation between processes. On the one hand, we propose to replace the Boolean notion of equivalence by a quantitative distance of similarity. For this purpose, we introduce a statistical framework for estimating distances between Markov chains based on their simulation runs, and we investigate which distances can be approximated in our framework. On the other hand, we propose to compare systems with respect to a new qualitative logic, which expresses that behaviors occur with probability one or a positive probability. This qualitative analysis is robust with respect to modeling errors and applicable to many domains. In the last part, we present a new quantifier-free logic for integer arrays, which allows us to express counting. Counting properties are prevalent in array-manipulating programs, however they cannot be expressed in the quantified fragments of the theory of arrays. We present a decision procedure for our logic, and provide several complexity results.},
author = {Daca, Przemyslaw},
pages = {163},
publisher = {IST Austria},
title = {{Statistical and logical methods for property checking}},
doi = {10.15479/AT:ISTA:TH_730},
year = {2017},
}
@phdthesis{1130,
abstract = {In this thesis we present a computer-aided programming approach to concurrency. Our approach
helps the programmer by automatically fixing concurrency-related bugs, i.e. bugs that occur
when the program is executed using an aggressive preemptive scheduler, but not when using a
non-preemptive (cooperative) scheduler. Bugs are program behaviours that are incorrect w.r.t.
a specification. We consider both user-provided explicit specifications in the form of assertion
statements in the code as well as an implicit specification. The implicit specification is inferred
from the non-preemptive behaviour. Let us consider sequences of calls that the program makes
to an external interface. The implicit specification requires that any such sequence produced
under a preemptive scheduler should be included in the set of sequences produced under a
non-preemptive scheduler.
We consider several semantics-preserving fixes that go beyond atomic sections typically
explored in the synchronisation synthesis literature. Our synthesis is able to place locks, barriers
and wait-signal statements and last, but not least reorder independent statements. The latter
may be useful if a thread is released to early, e.g., before some initialisation is completed. We
guarantee that our synthesis does not introduce deadlocks and that the synchronisation inserted
is optimal w.r.t. a given objective function.
We dub our solution trace-based synchronisation synthesis and it is loosely based on
counterexample-guided inductive synthesis (CEGIS). The synthesis works by discovering a
trace that is incorrect w.r.t. the specification and identifying ordering constraints crucial to trigger
the specification violation. Synchronisation may be placed immediately (greedy approach) or
delayed until all incorrect traces are found (non-greedy approach). For the non-greedy approach
we construct a set of global constraints over synchronisation placements. Each model of the
global constraints set corresponds to a correctness-ensuring synchronisation placement. The
placement that is optimal w.r.t. the given objective function is chosen as the synchronisation
solution.
We evaluate our approach on a number of realistic (albeit simplified) Linux device-driver
benchmarks. The benchmarks are versions of the drivers with known concurrency-related bugs.
For the experiments with an explicit specification we added assertions that would detect the bugs
in the experiments. Device drivers lend themselves to implicit specification, where the device and
the operating system are the external interfaces. Our experiments demonstrate that our synthesis
method is precise and efficient. We implemented objective functions for coarse-grained and
fine-grained locking and observed that different synchronisation placements are produced for
our experiments, favouring e.g. a minimal number of synchronisation operations or maximum
concurrency.},
author = {Tarrach, Thorsten},
pages = {151},
publisher = {IST Austria},
title = {{Automatic synthesis of synchronisation primitives for concurrent programs}},
year = {2016},
}
@phdthesis{1405,
abstract = {Motivated by the analysis of highly dynamic message-passing systems, i.e. unbounded thread creation, mobility, etc. we present a framework for the analysis of depth-bounded systems. Depth-bounded systems are one of the most expressive known fragment of the π-calculus for which interesting verification problems are still decidable. Even though they are infinite state systems depth-bounded systems are well-structured, thus can be analyzed algorithmically. We give an interpretation of depth-bounded systems as graph-rewriting systems. This gives more flexibility and ease of use to apply depth-bounded systems to other type of systems like shared memory concurrency.
First, we develop an adequate domain of limits for depth-bounded systems, a prerequisite for the effective representation of downward-closed sets. Downward-closed sets are needed by forward saturation-based algorithms to represent potentially infinite sets of states. Then, we present an abstract interpretation framework to compute the covering set of well-structured transition systems. Because, in general, the covering set is not computable, our abstraction over-approximates the actual covering set. Our abstraction captures the essence of acceleration based-algorithms while giving up enough precision to ensure convergence. We have implemented the analysis in the PICASSO tool and show that it is accurate in practice. Finally, we build some further analyses like termination using the covering set as starting point.},
author = {Zufferey, Damien},
pages = {134},
publisher = {IST Austria},
title = {{Analysis of dynamic message passing programs}},
year = {2013},
}