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Symbolic Model Checking: 10^20 States and Beyond

by J. R. Burch, E. M. Clarke, K. L. McMillan, D. L. Dill, L. J. Hwang , 1992
"... Many different methods have been devised for automatically verifying finite state systems by examining state-graph models of system behavior. These methods all depend on decision procedures that explicitly represent the state space using a list or a table that grows in proportion to the number of st ..."
Abstract - Cited by 758 (41 self) - Add to MetaCart
of states. We describe a general method that represents the state space symbolical/y instead of explicitly. The generality of our method comes from using a dialect of the Mu-Calculus as the primary specification language. We describe a model checking algorithm for Mu-Calculus formulas that uses Bryant’s

A theory of timed automata

by Rajeev Alur , 1999
"... Model checking is emerging as a practical tool for automated debugging of complex reactive systems such as embedded controllers and network protocols (see [23] for a survey). Traditional techniques for model checking do not admit an explicit modeling of time, and are thus, unsuitable for analysis of ..."
Abstract - Cited by 2651 (32 self) - Add to MetaCart
Model checking is emerging as a practical tool for automated debugging of complex reactive systems such as embedded controllers and network protocols (see [23] for a survey). Traditional techniques for model checking do not admit an explicit modeling of time, and are thus, unsuitable for analysis

Partial-Order Methods for the Verification of Concurrent Systems - An Approach to the State-Explosion Problem

by Patrice Godefroid , 1995
"... State-space exploration techniques are increasingly being used for debugging and proving correct finite-state concurrent reactive systems. The reason for this success is mainly the simplicity of these techniques. Indeed, they are easy to understand, easy to implement and, last but not least, easy to ..."
Abstract - Cited by 368 (12 self) - Add to MetaCart
to use: they are fully automatic. Moreover, the range of properties that they can verify has been substantially broadened thanks to the development of model-checking methods for various temporal logics. The main limit of state-space exploration verification techniques is the often excessive size

Symbolic model checking for sequential circuit verification

by Jerry R. Burch, Edmund M. Clarke, David E. Long, Kenneth L. McMillan, David L. Dill - IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS , 1994
"... The temporal logic model checking algorithm of Clarke, Emerson, and Sistla [17] is modified to represent state graphs using binary decision diagrams (BDD’s) [7] and partitioned trunsirion relations [lo], 1111. Because this representation captures some of the regularity in the state space of circuit ..."
Abstract - Cited by 271 (12 self) - Add to MetaCart
The temporal logic model checking algorithm of Clarke, Emerson, and Sistla [17] is modified to represent state graphs using binary decision diagrams (BDD’s) [7] and partitioned trunsirion relations [lo], 1111. Because this representation captures some of the regularity in the state space

Model Checking and Transitive-Closure Logic

by Neil Immerman, Moshe Y. Vardi , 1997
"... We give a linear-time algorithm to translate any formula from computation tree logic (CTL or CTL*) into an equivalent expression in a variable-confined fragment of transitive-closure logic FO(TC). Traditionally, CTL and CTL* have been used to express queries for model checking and then translated in ..."
Abstract - Cited by 11 (0 self) - Add to MetaCart
We give a linear-time algorithm to translate any formula from computation tree logic (CTL or CTL*) into an equivalent expression in a variable-confined fragment of transitive-closure logic FO(TC). Traditionally, CTL and CTL* have been used to express queries for model checking and then translated

A Unified Framework for Hybrid Control: Model and Optimal Control Theory

by Michael S. Branicky, Vivek S. Borkar, Sanjoy K. Mitter - IEEE TRANSACTIONS ON AUTOMATIC CONTROL , 1998
"... Complex natural and engineered systems typically possess a hierarchical structure, characterized by continuousvariable dynamics at the lowest level and logical decision-making at the highest. Virtually all control systems today---from flight control to the factory floor---perform computer-coded chec ..."
Abstract - Cited by 305 (9 self) - Add to MetaCart
-coded checks and issue logical as well as continuous-variable control commands. The interaction of these different types of dynamics and information leads to a challenging set of "hybrid" control problems. We propose a very general framework that systematizes the notion of a hybrid system, combining

Semantic foundations of concurrent constraint programming

by Vijay A. Saraswat, et al. , 1990
"... Concurrent constraint programming [Sar89,SR90] is a sim-ple and powerful model of concurrent computation based on the notions of store-as-constraint and process as information transducer. The store-as-valuation conception of von Neu-mann computing is replaced by the notion that the store is a constr ..."
Abstract - Cited by 276 (27 self) - Add to MetaCart
Concurrent constraint programming [Sar89,SR90] is a sim-ple and powerful model of concurrent computation based on the notions of store-as-constraint and process as information transducer. The store-as-valuation conception of von Neu-mann computing is replaced by the notion that the store is a

Probabilistic Symbolic Model Checking with PRISM: A Hybrid Approach

by Marta Kwiatkowska, Gethin Norman, David Parker - International Journal on Software Tools for Technology Transfer (STTT , 2002
"... In this paper we introduce PRISM, a probabilistic model checker, and describe the ecient symbolic techniques we have developed during its implementation. PRISM is a tool for analysing probabilistic systems. It supports three models: discrete-time Markov chains, continuous-time Markov chains and ..."
Abstract - Cited by 207 (32 self) - Add to MetaCart
and Markov decision processes. Analysis is performed through model checking speci cations in the probabilistic temporal logics PCTL and CSL. Motivated by the success of model checkers such as SMV, which use BDDs (binary decision diagrams), we have developed an implementation of PCTL and CSL model

All from one, one for all: on model checking using representatives

by Doron Peled - LNCS , 1993
"... Checking that a given finite state program satisfies a linear temporal logic property is suffering in many cases from a severe space and time explosion. One way to cope with this is to reduce the state graph used for model checking. We define an equivalence relation between infinite sequences, based ..."
Abstract - Cited by 184 (6 self) - Add to MetaCart
Checking that a given finite state program satisfies a linear temporal logic property is suffering in many cases from a severe space and time explosion. One way to cope with this is to reduce the state graph used for model checking. We define an equivalence relation between infinite sequences

Anytime, anywhere: modal logics for mobile ambients

by Luca Cardelli, Andrew D. Gordon - In POPL ’00: Proceedings of the 27th ACM SIGPLAN-SIGACT symposium on Principles of programming languages , 2000
"... The Ambient Calculus is a process calculus where processes may reside within a hierarchy of locations and modify it. The purpose of the calculus is to study mobility, which is seen as the change of spatial configurations over time. In order to describe properties of mobile computations we devise a m ..."
Abstract - Cited by 190 (13 self) - Add to MetaCart
modal logic that can talk about space as well as time, and that has the Ambient Calculus as a model. 1
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