530 research outputs found
A multi-paradigm language for reactive synthesis
This paper proposes a language for describing reactive synthesis problems
that integrates imperative and declarative elements. The semantics is defined
in terms of two-player turn-based infinite games with full information.
Currently, synthesis tools accept linear temporal logic (LTL) as input, but
this description is less structured and does not facilitate the expression of
sequential constraints. This motivates the use of a structured programming
language to specify synthesis problems. Transition systems and guarded commands
serve as imperative constructs, expressed in a syntax based on that of the
modeling language Promela. The syntax allows defining which player controls
data and control flow, and separating a program into assumptions and
guarantees. These notions are necessary for input to game solvers. The
integration of imperative and declarative paradigms allows using the paradigm
that is most appropriate for expressing each requirement. The declarative part
is expressed in the LTL fragment of generalized reactivity(1), which admits
efficient synthesis algorithms, extended with past LTL. The implementation
translates Promela to input for the Slugs synthesizer and is written in Python.
The AMBA AHB bus case study is revisited and synthesized efficiently,
identifying the need to reorder binary decision diagrams during strategy
construction, in order to prevent the exponential blowup observed in previous
work.Comment: In Proceedings SYNT 2015, arXiv:1602.0078
Parameterized Synthesis
We study the synthesis problem for distributed architectures with a
parametric number of finite-state components. Parameterized specifications
arise naturally in a synthesis setting, but thus far it was unclear how to
detect realizability and how to perform synthesis in a parameterized setting.
Using a classical result from verification, we show that for a class of
specifications in indexed LTL\X, parameterized synthesis in token ring networks
is equivalent to distributed synthesis in a network consisting of a few copies
of a single process. Adapting a well-known result from distributed synthesis,
we show that the latter problem is undecidable. We describe a semi-decision
procedure for the parameterized synthesis problem in token rings, based on
bounded synthesis. We extend the approach to parameterized synthesis in
token-passing networks with arbitrary topologies, and show applicability on a
simple case study. Finally, we sketch a general framework for parameterized
synthesis based on cutoffs and other parameterized verification techniques.Comment: Extended version of TACAS 2012 paper, 29 page
Linear Temporal Logic-based Mission Planning
In this paper, we describe the Linear Temporal
Logic-based reactive motion planning. We address the problem of
motion planning for mobile robots, wherein the goal specification
of planning is given in complex environments. The desired task
specification may consist of complex behaviors of the robot,
including specifications for environment constraints, need of task
optimality, obstacle avoidance, rescue specifications, surveillance
specifications, safety specifications, etc. We use Linear Temporal
Logic to give a representation for such complex task specification
and constraints. The specifications are used by a verification engine
to judge the feasibility and suitability of plans. The planner gives a
motion strategy as output. Finally a controller is used to generate
the desired trajectory to achieve such a goal. The approach is
tested using simulations on the LTLMoP mission planning tool,
operating over the Robot Operating System. Simulation results
generated using high level planners and low level controllers work
simultaneously for mission planning and controlling the physical
behavior of the robot
Automatic Generation of Minimal Cut Sets
A cut set is a collection of component failure modes that could lead to a
system failure. Cut Set Analysis (CSA) is applied to critical systems to
identify and rank system vulnerabilities at design time. Model checking tools
have been used to automate the generation of minimal cut sets but are generally
based on checking reachability of system failure states. This paper describes a
new approach to CSA using a Linear Temporal Logic (LTL) model checker called BT
Analyser that supports the generation of multiple counterexamples. The approach
enables a broader class of system failures to be analysed, by generalising from
failure state formulae to failure behaviours expressed in LTL. The traditional
approach to CSA using model checking requires the model or system failure to be
modified, usually by hand, to eliminate already-discovered cut sets, and the
model checker to be rerun, at each step. By contrast, the new approach works
incrementally and fully automatically, thereby removing the tedious and
error-prone manual process and resulting in significantly reduced computation
time. This in turn enables larger models to be checked. Two different
strategies for using BT Analyser for CSA are presented. There is generally no
single best strategy for model checking: their relative efficiency depends on
the model and property being analysed. Comparative results are given for the
A320 hydraulics case study in the Behavior Tree modelling language.Comment: In Proceedings ESSS 2015, arXiv:1506.0325
Heuristics for the refinement of assumptions in generalized reactivity formulae
Reactive synthesis is concerned with automatically generating implementations from formal specifications. These specifications are typically written in the language of generalized reactivity (GR(1)), a subset of linear temporal logic capable of expressing the most common industrial specification patterns, and describe the requirements about the behavior of a system under assumptions about the environment where the system is to be deployed. Oftentimes no implementation exists which guarantees the required behavior under all possible environments, typically due to missing assumptions (this is usually referred to as unrealizability). To address this issue, new assumptions need to be added to complete the specification, a problem known as assumptions refinement. Since the space of candidate assumptions is intractably large, searching for the best solutions is inherently hard. In particular, new methods are needed to (i) increase the effectiveness of the search procedures, measured as the ratio between the number of solutions found and of refinements explored; and (ii) improve the results' quality, defined as the weakness of the solutions. In this thesis we propose a set of heuristics to meet these goals, and a methodology to assess and compare assumptions refinement methods based on quantitative metrics. The heuristics are in the form of algorithms to generate candidate refinements during the search, and quantitative measures to assess the quality of the candidates.
We first discuss a heuristic method to generate assumptions that target the cause of unrealizability. This is done by selecting candidate refinement formulas based on Craig's interpolation. We provide a formal underpinning of the technique and evaluate it in terms of our new metric of effectiveness, as defined above, whose value is improved with respect to the state of the art. We demonstrate this on a set of popular benchmarks of embedded software.
We then provide a formal, quantitative characterization of the permissiveness of environment assumptions in the form of a weakness measure. We prove that the partial order induced by this measure is consistent with the one induced by implication. The key advantage of this measure is that it allows for prioritizing candidate solutions, as we show experimentally.
Lastly, we propose a notion of minimal refinements with respect to the observed counterstrategies. We demonstrate that exploring minimal refinements produces weaker solutions, and reduces the amount of computations needed to explore each refinement. However, this may come at the cost of reducing the effectiveness of the search. To counteract this effect, we propose a hybrid search approach in which both minimal and non-minimal refinements are explored.Open Acces
Model checking concurrent assembly algorithms
Model checking has been used in various domains, to enable automatic verification of properties for a given model. Especially in cases when the correctness of the the model is not evident due to the complex nature of the description, model checking can be an indispensable tool. One such domain is the use of concurrent assembly algorithms for lowlevel synchronisation, which can be notoriously difficult to check their correctness or even test. In this paper we look at this domain, and explore the use of model-checking in verifying a number of such algorithms, such as barrier synchronisation and wait-free CSP channel communication. We tackle the state explosion problem inherent in model checking by making use of abstraction techniques to remove rendundant information in the the model, and partial-order techniques to remove redundant interleavings of actions. Finally, we also investigate the use of structural induction to reason about families of systems of arbitrary size. Making use of symmetry and induction, we verify algorithms with an unbounded number of identical participating tasks.peer-reviewe
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