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339
Controllers for Reachability Specifications for Hybrid Systems
 Automatica
, 1999
"... The problem of systematically synthesizing hybrid controllers which satisfy multiple control objectives is considered. We present a technique, based on the principles of optimal control, for determining the class of least restrictive controllers that satisfies the most important objective (which we ..."
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Cited by 117 (37 self)
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The problem of systematically synthesizing hybrid controllers which satisfy multiple control objectives is considered. We present a technique, based on the principles of optimal control, for determining the class of least restrictive controllers that satisfies the most important objective (which we refer to as safety). The system performance with respect to lower priority objectives (which we refer to as efficiency) can then be optimized within this class. We motivate our approach by showing how the proposed synthesis technique simplifies to well known results from supervisory control and pursuit evasion games when restricted to purely discrete and purely continuous systems respectively. We then illustrate the application of this technique to two examples, one hybrid (the steam boiler benchmark problem), and one primarily continuous (a flight vehicle management system with discrete flight modes). 1 Introduction Hybrid systems, or systems that involve the interaction of discrete and co...
Design of Embedded Systems: Formal Models, Validation, and Synthesis
 PROCEEDINGS OF THE IEEE
, 1999
"... This paper addresses the design of reactive realtime embedded systems. Such systems are often heterogeneous in implementation technologies and design styles, for example by combining hardware ASICs with embedded software. The concurrent design process for such embedded systems involves solving the ..."
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Cited by 106 (9 self)
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This paper addresses the design of reactive realtime embedded systems. Such systems are often heterogeneous in implementation technologies and design styles, for example by combining hardware ASICs with embedded software. The concurrent design process for such embedded systems involves solving the specification, validation, and synthesis problems. We review the variety of approaches to these problems that have been taken.
Computing abstractions of infinite state systems compositionally and automatically
 PROCEEDINGS OF CAV ’98
, 1998
"... We present a method for computing abstractions of infinite state systems compositionally and automatically. Given a concrete system S = S1 k \Delta \Delta \Delta k Sn of programs and given an abstraction function ff, using our method one can compute an abstract system S a = Sa 1 k \Delta \Delta \Del ..."
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Cited by 98 (5 self)
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We present a method for computing abstractions of infinite state systems compositionally and automatically. Given a concrete system S = S1 k \Delta \Delta \Delta k Sn of programs and given an abstraction function ff, using our method one can compute an abstract system S a = Sa 1 k \Delta \Delta \Delta k S a n such that S simulates S a. A distinguishing feature of our method is that it does not produce a single abstract state graph but rather preserves the structure of the concrete system. This feature is a prerequisite to benefit from the techniques developed in the context of modelchecking for mitigating the state explosion. Moreover, our method has the advantage that the process of constructing the abstract system does not depend on whether the computation model is synchronous or asynchronous.
Computeraided verification
 IEEE Spectrum
, 1996
"... How can a computer program developer ensure that a program actually implements its intended purpose? This article describes a method for checking the correctness of certain types of computer programs. The method is used commercially in the development of programs implemented as integrated circuits a ..."
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Cited by 95 (2 self)
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How can a computer program developer ensure that a program actually implements its intended purpose? This article describes a method for checking the correctness of certain types of computer programs. The method is used commercially in the development of programs implemented as integrated circuits and is applicable to the development of “controlintensive ” software programs as well. “Divideandconquer ” techniques central to this method apply to a broad range of program verification methodologies. Classical methods for testing and quality control no longer are sufficient to protect us from communication network collapses, fatalities from medical machinery malfunction, rocket guidance failure, or a halfbillion dollar commercial loss due to incorrect arithmetic in a popular integrated circuit. These sensational examples are only the headline cases. Behind them are multitudes of mundane programs whose failures merely infuriate their users and cause increased costs to their producers. A source of such problems is the growth in program complexity. The more a program controls, the more types of interactions it supports. For example, the telephone “callforwarding ” service (forwarding incoming calls to a customerdesignated number) interacts with the “billing ” program that must determine whether the forwarding number or the calling number gets charged for the additional connection to the customerdesignated number. At the same time, callforwarding interacts with the “connection ” program that deals with the issue of
You Assume, We Guarantee: Methodology and Case Studies
, 1998
"... Assumeguarantee reasoning has long been advertised as an important method for decomposing proof obligations in system verification. Re nement mappings (homomorphisms) have long been advertised as an important method for solving the languageinclusion problem in practice. When confronted with large ..."
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Cited by 95 (14 self)
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Assumeguarantee reasoning has long been advertised as an important method for decomposing proof obligations in system verification. Re nement mappings (homomorphisms) have long been advertised as an important method for solving the languageinclusion problem in practice. When confronted with large verification problems, we therefore attempted to make use of both techniques. We soon found that rather than o ering instant solutions, the success of assumeguarantee reasoning depends critically on the construction of suitable abstraction modules, and the success of refinement checking depends critically on the construction of suitable witness modules. Moreover, as abstractions need to be witnessed, and witnesses abstracted, the process must be iterated. We present here the main lessons we learned from our experiments, in form of a systematic and structured discipline for the compositional verification of reactive modules. An infrastructure to support this discipline, and automate parts of the verification, has been implemented in the tool Mocha.
Verification of an implementation of Tomasulo’s algorithm by compositional model checking
, 1998
"... Abstract. An implementation of an outoforder processing unit based on Tomasulo’s algorithm is formally verified using compositional model checking techniques. This demonstrates that finitestate methods can be applied to such algorithms, without recourse to higherorder proof systems. The paper in ..."
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Cited by 90 (4 self)
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Abstract. An implementation of an outoforder processing unit based on Tomasulo’s algorithm is formally verified using compositional model checking techniques. This demonstrates that finitestate methods can be applied to such algorithms, without recourse to higherorder proof systems. The paper introduces a novel compositional system that supports cyclic environment reasoning and multiple environment abstractions per signal. A proof of Tomasulo’s algorithm is outlined, based on refinement maps, and relying on the novel features of the compositional system. This proof is fully verified by the SMV verifier, using symmetry to reduce the number of assertions that must be verified. 1
Visual Verification of Reactive Systems
, 1997
"... We describe diagrambased formal methods for verifying temporal properties of finite and infinitestate reactive systems. These methods, which share a common background and tools, differ in the way they use automatic procedures within an interactive setting based on deduction. They can be used to ..."
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Cited by 83 (6 self)
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We describe diagrambased formal methods for verifying temporal properties of finite and infinitestate reactive systems. These methods, which share a common background and tools, differ in the way they use automatic procedures within an interactive setting based on deduction. They can be used to produce a static proof object, or to perform incremental analysis of systems and specifications.
Model checking of hierarchical state machines
 ACM Trans. Program. Lang. Syst
"... Model checking is emerging as a practical tool for detecting logical errors in early stages of system design. We investigate the model checking of sequential hierarchical (nested) systems, i.e., finitestate machines whose states themselves can be other machines. This nesting ability is common in var ..."
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Cited by 78 (9 self)
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Model checking is emerging as a practical tool for detecting logical errors in early stages of system design. We investigate the model checking of sequential hierarchical (nested) systems, i.e., finitestate machines whose states themselves can be other machines. This nesting ability is common in various software design methodologies, and is available in several commercial modeling tools. The straightforward way to analyze a hierarchical machine is to flatten it (thus incurring an exponential blow up) and apply a modelchecking tool on the resulting ordinary FSM. We show that this flattening can be avoided. We develop algorithms for verifying lineartime requirements whose complexity is polynomial in the size of the hierarchical machine. We also address the verification of branching time requirements and provide efficient algorithms and matching lower bounds.
SATABS: SATbased Predicate Abstraction for ANSIC
 In TACAS, volume 3440 of LNCS
, 2005
"... Abstract. This paper presents a model checking tool, SatAbs, that implements a predicate abstraction refinement loop. Existing software verification tools such as Slam, Blast, or Magic use decision procedures for abstraction and simulation that are limited to integers. SatAbs overcomes these limitat ..."
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Cited by 72 (10 self)
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Abstract. This paper presents a model checking tool, SatAbs, that implements a predicate abstraction refinement loop. Existing software verification tools such as Slam, Blast, or Magic use decision procedures for abstraction and simulation that are limited to integers. SatAbs overcomes these limitations by using a SATsolver. This allows the model checker to handle the semantics of the ANSIC standard accurately. This includes a sound treatment of bitvector overflow, and of the ANSIC pointer arithmetic constructs. 1
Model Checking Complete Requirements Specifications Using Abstraction
 Automated Software Engineering
, 1999
"... Although model checking has proven remarkably effective in detecting errors in hardware designs, its success in the analysis of software specifications has been limited. Model checking algorithms for hardware verification commonly use Binary Decision Diagrams (BDDs) to represent predicates involving ..."
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Cited by 70 (19 self)
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Although model checking has proven remarkably effective in detecting errors in hardware designs, its success in the analysis of software specifications has been limited. Model checking algorithms for hardware verification commonly use Binary Decision Diagrams (BDDs) to represent predicates involving the many Boolean variables commonly found in hardware descriptions. Unfortunately, BDD representations may be less effective for analyzing software specifications, which usually contain not only Booleans but variables spanning a wide range of data types. Further, software specifications typically have huge, sometimes infinite, state spaces that cannot be model checked directly using conventional symbolic methods. One promising but largely unexplored approach to model checking software...