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23
Model Checking for ContextFree Processes
, 1992
"... We develop a modelchecking algorithm that decides for a given contextfree process whether it satisfies a property written in the alternationfree modal mucalculus. The central idea behind this algorithm is to raise the standard iterative modelchecking techniques to higher order: in contrast to t ..."
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Cited by 78 (8 self)
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We develop a modelchecking algorithm that decides for a given contextfree process whether it satisfies a property written in the alternationfree modal mucalculus. The central idea behind this algorithm is to raise the standard iterative modelchecking techniques to higher order: in contrast to the usual approaches, in which the set of formulas that are satisfied by a certain state are iteratively computed, our algorithm iteratively computes a property transformer for each state class of the finite process representation. These property transformers can then simply be applied to solve the modelchecking problem. The complexity of our algorithm is linear in the size of the system's representation and exponential in the size of the property being investigated.
Verification on Infinite Structures
, 2000
"... In this chapter, we present a hierarchy of infinitestate systems based on the primitive operations of sequential and parallel composition; the hierarchy includes a variety of commonlystudied classes of systems such as contextfree and pushdown automata, and Petri net processes. We then examine the ..."
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Cited by 69 (2 self)
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In this chapter, we present a hierarchy of infinitestate systems based on the primitive operations of sequential and parallel composition; the hierarchy includes a variety of commonlystudied classes of systems such as contextfree and pushdown automata, and Petri net processes. We then examine the equivalence and regularity checking problems for these classes, with special emphasis on bisimulation equivalence, stressing the structural techniques which have been devised for solving these problems. Finally, we explore the model checking problem over these classes with respect to various linear and branchingtime temporal logics.
Model Checking Mobile Processes
, 1993
"... We introduce a temporal logic for the polyadic ßcalculus based on fixed point extensions of HennessyMilner logic. Features are added to account for parametrisation, generation, and passing of names, including the use, following Milner, of dependent sum and product to account for (unlocalised) inpu ..."
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Cited by 63 (11 self)
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We introduce a temporal logic for the polyadic ßcalculus based on fixed point extensions of HennessyMilner logic. Features are added to account for parametrisation, generation, and passing of names, including the use, following Milner, of dependent sum and product to account for (unlocalised) input and output, and explicit parametrisation on names using lambdaabstraction and application. The latter provides a single name binding mechanism supporting all parametrisation needed. A proof system and decision procedure is developed based on Stirling and Walker's approach to model checking the modal ¯calculus using constants. One difficulty, for both conceptual and efficiencybased reasons, is to avoid the explicit use of the !rule for parametrised processes. A key idea, following Hennessy and Lin's approach to deciding bisimulation for certain types of valuepassing processes, is the relativisation of correctness assertions to conditions on names. Based on this idea a proof system and ...
From Timed Automata to Logic  and Back
 MFCS’95, LNCS 969
, 1995
"... One of the most successful techniques for automatic verification is that of model checking. For finite automata there exist since long extremely efficient modelchecking algorithms, and in the last few years these algorithms have been made applicable to the verification of realtime automata usi ..."
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Cited by 52 (7 self)
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One of the most successful techniques for automatic verification is that of model checking. For finite automata there exist since long extremely efficient modelchecking algorithms, and in the last few years these algorithms have been made applicable to the verification of realtime automata using the regiontechniques of Alur and Dill. In this
Model Checking via Reachability Testing for Timed Automata
, 1997
"... In this paper we develop an approach to modelchecking for timed automata via reachability testing. As our specification formalism, we consider a densetime logic with clocks. This logic may be used to express safety and bounded liveness properties of realtime systems. We show how to automatically ..."
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Cited by 44 (13 self)
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In this paper we develop an approach to modelchecking for timed automata via reachability testing. As our specification formalism, we consider a densetime logic with clocks. This logic may be used to express safety and bounded liveness properties of realtime systems. We show how to automatically synthesize, for every logical formula ', a socalled test automaton T' in such a way that checking whether a system S satisfies the property ' can be reduced to a reachability question over the system obtained by making T' interact with S.
Transformational Design and Implementation Of A New Efficient Solution To The Ready Simulation Problem
 Science of Computer Programming
, 1995
"... A transformational methodology is described for simultaneously designing algorithms and developing programs. The methodology makes use of three transformational tools  dominated convergence, finite differencing, and realtime simulation of a set machine on a RAM. We illustrate the methodology t ..."
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Cited by 41 (2 self)
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A transformational methodology is described for simultaneously designing algorithms and developing programs. The methodology makes use of three transformational tools  dominated convergence, finite differencing, and realtime simulation of a set machine on a RAM. We illustrate the methodology to design a new O(mn + n 2 )time algorithm for deciding when nstate, mtransition processes are ready similar, which is a substantial improvement on the \Theta(mn 6 ) algorithm presented in [6]. The methodology is also used to derive a program whose performance, we believe, is competitive with the most efficient handcrafted implementation of our algorithm. Ready simulation is the finest fully abstract notion of process equivalence in the CCS setting. 1 Introduction Currently there is a wide gap between the goals and practices of research in the theory of algorithm design and the science of programming, which we believe is A preliminary version of this paper appeared in the Conf...
Pushdown Processes: Parallel Composition and Model Checking
, 1993
"... In this paper we consider a strict generalization of contextfree processes, the pushdown processes, and show that this class of processes is 1) closed under parallel composition with finite state systems, and can 2) be model checked by means of an elegant adaptation of the higher order model che ..."
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Cited by 27 (3 self)
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In this paper we consider a strict generalization of contextfree processes, the pushdown processes, and show that this class of processes is 1) closed under parallel composition with finite state systems, and can 2) be model checked by means of an elegant adaptation of the higher order model checker introduced in [BS92]. This shows the advantages of pushdown processes over contextfree processes, which are not sufficiently general in order to support parallel composition.
Generating Data Flow Analysis Algorithms from Modal Specifications
 SCIENCE OF COMPUTER PROGRAMMING
, 1993
"... The paper develops a framework that is based on the idea that modal logic provides an appropriate framework for the specification of data flow analysis (DFA) algorithms as soon as programs are represented as models of the logic. This can be exploited to construct a DFAgenerator that generates effic ..."
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Cited by 26 (7 self)
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The paper develops a framework that is based on the idea that modal logic provides an appropriate framework for the specification of data flow analysis (DFA) algorithms as soon as programs are represented as models of the logic. This can be exploited to construct a DFAgenerator that generates efficient implementations of DFAalgorithms from modal specifications by partially evaluating a specific model checker with respect to the specifying modal formula. Moreover, the use of a modal logic as specification language for DFAalgorithms supports the compositional development of specifications and structured proofs of properties of DFAalgorithms.  The framework is illustrated by means of a real life example: the problem of determining optimal computation points within flow graphs.
The FixpointAnalysis Machine
 Proc. CONCUR'95, volume 962 of Lecture Notes in Computer Science
, 1995
"... . We present a fixpointanalysis machine, for the efficient computation of homogeneous, hierarchical, and alternating fixpoints over regular, contextfree/pushdown and macro models. Applications of such fixpoint computations include intra and interprocedural data flow analysis, model checking for ..."
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Cited by 15 (2 self)
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. We present a fixpointanalysis machine, for the efficient computation of homogeneous, hierarchical, and alternating fixpoints over regular, contextfree/pushdown and macro models. Applications of such fixpoint computations include intra and interprocedural data flow analysis, model checking for various temporal logics, and the verification of behavioural relations between distributed systems. The fixpointanalysis machine identifies an adequate (parameterized) level for a uniform treatment of all those problems, which, despite its uniformity, outperforms the `standard iteration based' special purpose tools usually by factors around 10, even if the additional compilation time is taken into account. 1 Introduction and Motivation A great number of analysis and verification problems such as abstract interpretation, data flow analysis, model checking, determination of behavioural relations between distributed systems, hardware verification and synthesis, etc., boil down to the computa...
A Generic OntheFly Solver for AlternationFree Boolean Equation Systems
, 2003
"... Boolean Equation Systems are a useful formalism for modeling various verification problems of finitestate concurrent systems, in particular the equivalence checking and the model checking problems. These problems can be solved onthefly (i.e., without constructing explicitly the state space of th ..."
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Cited by 14 (5 self)
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Boolean Equation Systems are a useful formalism for modeling various verification problems of finitestate concurrent systems, in particular the equivalence checking and the model checking problems. These problems can be solved onthefly (i.e., without constructing explicitly the state space of the system under analysis) by using a demanddriven construction and resolution of the corresponding boolean equation system. In this report, we present a generic software library dedicated to onthefly resolution of alternationfree boolean equation systems. Four resolution algorithms are currently provided by the library: A1 and A2 are general algorithms, the latter being optimized to produce smalldepth diagnostics, whereas A3 and A4 are specialized algorithms for handling acyclic and disjunctive/conjunctive boolean equation systems in a memoryefficient way. The library is developed within the Cadp verification toolbox and is used for both onthefly equivalence checking (five widelyused equivalence relations are supported) and for onthefly model checking of alternationfree modal µcalculus.