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30
Domain Theory
 Handbook of Logic in Computer Science
, 1994
"... Least fixpoints as meanings of recursive definitions. ..."
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Cited by 461 (20 self)
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Least fixpoints as meanings of recursive definitions.
Efficient OntheFly ModelChecking for Regular AlternationFree MuCalculus
, 2000
"... Modelchecking is a successful technique for automatically verifying concurrent finitestate systems. When building a modelchecker, a good compromise must be made between the expressive power of the property description formalism, the complexity of the modelchecking problem, and the userfriendlin ..."
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Cited by 58 (11 self)
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Modelchecking is a successful technique for automatically verifying concurrent finitestate systems. When building a modelchecker, a good compromise must be made between the expressive power of the property description formalism, the complexity of the modelchecking problem, and the userfriendliness of the interface. We present a temporal logic and an associated modelchecking method that attempt to fulfill these criteria. The logic is an extension of the alternationfree µcalculus with ACTLlike action formulas and PDLlike regular expressions, allowing a concise and intuitive description of safety, liveness, and fairness properties over labeled transition systems. The modelchecking method is based upon a succinct translation of the verification problem into a boolean equation system, which is solved by means of an efficient local algorithm having a good average complexity. The algorithm also allows to generate full diagnostic information (examples and counterexamples) for temporal for...
Modal Logics and muCalculi: An Introduction
, 2001
"... We briefly survey the background and history of modal and temporal logics. We then concentrate on the modal mucalculus, a modal logic which subsumes most other commonly used logics. We provide an informal introduction, followed by a summary of the main theoretical issues. We then look at modelchec ..."
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Cited by 44 (3 self)
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We briefly survey the background and history of modal and temporal logics. We then concentrate on the modal mucalculus, a modal logic which subsumes most other commonly used logics. We provide an informal introduction, followed by a summary of the main theoretical issues. We then look at modelchecking, and finally at the relationship of modal logics to other formalisms.
The semantics and execution of a synchronous blockdiagram language
 Science of Computer Programming
"... We present a new block diagram language for describing synchronous software. It coordinates the execution of synchronous, concurrent software modules, allowing realtime systems to be assembled from precompiled blocks specified in other languages. The semantics we present, based on fixed points, is ..."
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Cited by 34 (17 self)
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We present a new block diagram language for describing synchronous software. It coordinates the execution of synchronous, concurrent software modules, allowing realtime systems to be assembled from precompiled blocks specified in other languages. The semantics we present, based on fixed points, is deterministic even in the presence of instantaneous feedback. The execution policy develops a static schedule—a fixed order in which to execute the blocks that makes the system execution predictable. We present exact and heuristic algorithms for finding schedules that minimize system execution time, and show that good schedules can be found quickly. The scheduling algorithms are applicable to other problems where large systems of equations need to be solved.
Partial Model Checking (Extended Abstract)
 In Proceedings, Tenth Annual IEEE Symposium on Logic in Computer Science
, 1995
"... ) Henrik Reif Andersen Department of Computer Science Technical University of Denmark Building 344, DK2800 Lyngby, Denmark. Abstract A major obstacle in applying finitestate model checking to the verification of large systems is the combinatorial explosion of the state space arising when many ..."
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Cited by 27 (5 self)
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) Henrik Reif Andersen Department of Computer Science Technical University of Denmark Building 344, DK2800 Lyngby, Denmark. Abstract A major obstacle in applying finitestate model checking to the verification of large systems is the combinatorial explosion of the state space arising when many loosely coupled parallel processes are considered. The problem also known as the stateexplosion problem has been attacked from various sides. This paper presents a new approach based on partial model checking: Parts of the concurrent system are gradually removed while transforming the specification accordingly. When the intermediate specifications constructed in this manner can be kept small, the stateexplosion problem is avoided. Experimental results with a prototype implemented in Standard ML, shows that for Milner's Scheduler  an often used benchmark  this approach improves on the published results on Binary Decision Diagrams and is comparable to results obtained using generalized...
On the Origins of Bisimulation and Coinduction
"... The origins of bisimulation and bisimilarity are examined, in the three fields where they have been ..."
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Cited by 21 (0 self)
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The origins of bisimulation and bisimilarity are examined, in the three fields where they have been
A Compositional Proof System for the Modal µCalculus
, 1994
"... We present a proof system for determining satisfaction between processes in a fairly general process algebra and assertions of the modal µcalculus. The proof system is compositional in the structure of processes. It extends earlier work on compositional reasoning within the modal µcalculus and com ..."
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Cited by 15 (0 self)
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We present a proof system for determining satisfaction between processes in a fairly general process algebra and assertions of the modal µcalculus. The proof system is compositional in the structure of processes. It extends earlier work on compositional reasoning within the modal µcalculus and combines it with techniques from work on local model checking. The proof system is sound for all processes and complete for a class of finitestate processes.
Parameterised Boolean Equation Systems
 In Theoretical Computer Science
, 2004
"... Boolean equation system are a useful tool for verifying formulas from modal mucalculus on transition systems (see [18] for an excellent treatment). We are interested in an extension of boolean equation systems with data. This allows to formulate and prove a substantially wider range of properties ..."
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Cited by 14 (7 self)
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Boolean equation system are a useful tool for verifying formulas from modal mucalculus on transition systems (see [18] for an excellent treatment). We are interested in an extension of boolean equation systems with data. This allows to formulate and prove a substantially wider range of properties on much larger and even infinite state systems. In previous works [11, 15] it has been outlined how to transform a modal formula and a process, both containing data, to a socalled parameterised boolean equation system, or equation system for short. In this article we focus on techniques to solve such equation systems.