34 research outputs found
Benchmarks for Parity Games (extended version)
We propose a benchmark suite for parity games that includes all benchmarks
that have been used in the literature, and make it available online. We give an
overview of the parity games, including a description of how they have been
generated. We also describe structural properties of parity games, and using
these properties we show that our benchmarks are representative. With this work
we provide a starting point for further experimentation with parity games.Comment: The corresponding tool and benchmarks are available from
https://github.com/jkeiren/paritygame-generator. This is an extended version
of the paper that has been accepted for FSEN 201
Stuttering equivalence is too slow!
Groote and Wijs recently described an algorithm for deciding stuttering
equivalence and branching bisimulation equivalence, acclaimed to run in
time. Unfortunately, the algorithm does not always meet
the acclaimed running time. In this paper, we present two counterexamples where
the algorithms uses time. A third example shows that the
correction is not trivial. In order to analyse the problem we present
pseudocode of the algorithm, and indicate the time that can be spent on each
part of the algorithm in order to meet the desired bound. We also propose fixes
to the algorithm such that it indeed runs in time.Comment: 11 page
Structural Analysis of Boolean Equation Systems
We analyse the problem of solving Boolean equation systems through the use of
structure graphs. The latter are obtained through an elegant set of
Plotkin-style deduction rules. Our main contribution is that we show that
equation systems with bisimilar structure graphs have the same solution. We
show that our work conservatively extends earlier work, conducted by Keiren and
Willemse, in which dependency graphs were used to analyse a subclass of Boolean
equation systems, viz., equation systems in standard recursive form. We
illustrate our approach by a small example, demonstrating the effect of
simplifying an equation system through minimisation of its structure graph
Modelling and verifying IEEE Std 11073-20601 session setup using mCRL2
In this paper we advocate that formal verification should bea part of the development of a communication standard;in a short period of time issues areuncovered that have been in the standard for a number of years, and allsubtleties in the correctness of the protocol are understood.We model and verify the session setup protocolthat is part of the IEEE 11073-20601:2008 standard for communication betweenpersonal health devices.We identify a number of issues present in the standards document.Discussion with a member of the standards committee unveiled that most, but notall, of the identified issues are fixed in the IEEE 11073-20601:2010 version ofthe standard.In addition, the correctness of the protocol, including the fixes, is assessed.For this, properties of the session setup protocol are formulated, and usingthe model checker mCRL2 it is verified whether the model satisfies theseproperties.We show that the session setup protocol is flawed, and propose a straightforwardway to fix this issue
Expressiveness Results for Timed Modal Mu-Calculi
This paper establishes relative expressiveness results for several modal
mu-calculi interpreted over timed automata. These mu-calculi combine modalities
for expressing passage of (real) time with a general framework for defining
formulas recursively; several variants have been proposed in the literature. We
show that one logic, which we call , is strictly more
expressive than the other mu-calculi considered. It is also more expressive
than the temporal logic TCTL, while the other mu-calculi are incomparable with
TCTL in the setting of general timed automata
Bisimulation minimisations for boolean equation systems
Abstract. Boolean equation systems (BESs) have been used to encode several complex verification problems, including model checking and equivalence checking. We introduce the concepts of strong bisimulation and idempotence-identifying bisimulation for BESs, and we prove that these can be used for minimising BESs prior to solving these. Our results show that large reductions of the BESs may be obtained efficiently. Minimisation is rewarding for BESs with non-trivial alternations: the time required for solving the original BES mostly exceeds the time required for quotienting plus the time for solving the quotient. Furthermore, we provide a verification example that demonstrates that bisimulation minimisation of a process prior to encoding the verification problem on that process as a BES can be arbitrarily less effective than minimising the BES that encodes the verification problem
Modelling and analysing software in mCRL2
Model checking is an effective way to design correct software.Making behavioural models of software, formulating correctness properties using modal formulas, and verifying these using finite state analysis techniques, is a very efficient way to obtain the required insight in the software. We illustrate this on four common but tricky examples
Analysing the Control Software of the Compact Muon Solenoid Experiment at the Large Hadron Collider
The control software of the CERN Compact Muon Solenoid experiment contains
over 30,000 finite state machines. These state machines are organised
hierarchically: commands are sent down the hierarchy and state changes are sent
upwards. The sheer size of the system makes it virtually impossible to fully
understand the details of its behaviour at the macro level. This is fuelled by
unclarities that already exist at the micro level. We have solved the latter
problem by formally describing the finite state machines in the mCRL2 process
algebra. The translation has been implemented using the ASF+SDF
meta-environment, and its correctness was assessed by means of simulations and
visualisations of individual finite state machines and through formal
verification of subsystems of the control software. Based on the formalised
semantics of the finite state machines, we have developed dedicated tooling for
checking properties that can be verified on finite state machines in isolation.Comment: To appear in FSEN'11. Extended version with details of the ASF+SDF
translation of SML into mCRL