Document Type
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BL
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Record Number
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1022786
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Doc. No
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b777156
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Main Entry
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Herde, Christian.
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Title & Author
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Efficient solving of large arithmetic constraint systems with complex Boolean structure : : proof engines for the analysis of hybrid discrete-continuous systems /\ Christian Herde ; With a foreword by Martin Fränzle.
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Publication Statement
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Wiesbaden :: Vieweg + Teubner,, ©2011.
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Series Statement
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Vieweg + Teubner research
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Page. NO
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1 online resource (xvi, 163 pages) :: illustrations
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ISBN
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3834899496
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: 9783834899491
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9783834814944
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Contents
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Hybrid dynamical systems -- Extending DPLL for pseudo-boolean constraints -- Integration of DPLL-SAT and linear programming -- Integration of DPLL and interval constraint solving.
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Abstract
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Due to the growing use of more and more complex computerized systems in safety-critical applications, the formal verification of such systems is increasingly gaining importance. Many automatic and semi-automatic schemes for hardware and software verification ultimately rely on decision procedures for discharging the proof obligations generated during the verification process. Christian Herde deals with the development of such procedures, providing methods for efficiently solving formulae comprising complex Boolean combinations of linear, polynomial, and transcendental arithmetic constraints, involving thousands of Boolean-, integer-, and real-valued variables. Although aiming at providing tool support for the verification of hybrid discrete-continuous systems, most of the techniques he describes are general purpose and have applications in many other domains, like operations research, planning, software validation, and electronic design automation.
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Subject
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Automatic theorem proving.
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Subject
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Computer science-- Mathematics.
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Subject
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Constraints (Artificial intelligence)
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Subject
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Automatic theorem proving.
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Subject
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Computer science-- Mathematics.
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Subject
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Constraints (Artificial intelligence)
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Subject
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Informatique.
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Dewey Classification
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004.015113
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LC Classification
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QA76.9.A96H47 2011
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