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Operational Semantics for Timed Systems - A Non-standard Approach to Uniform Modeling of Timed and Hybrid Systems (Paperback, 2005 ed.)
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Operational Semantics for Timed Systems - A Non-standard Approach to Uniform Modeling of Timed and Hybrid Systems (Paperback, 2005 ed.)
Series: Programming and Software Engineering, 3456
Expected to ship within 10 - 15 working days
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This monograph is dedicated to a novel approach for uniform
modelling of timed and hybrid systems. Heinrich Rust presents a
time model which allows for both the description of discrete time
steps and continuous processes with a dense real-number time model.
The proposed time model is well suited to express synchronicity of
events in a real-number time model as well as strict causality by
using uniform discrete time steps. Thus it integrates and
reconciles two views of time that are commonly used separately in
di?erent application domains. In many discrete systems time is
modelled by discrete steps of uniform length, in continuous systems
time is seen as a dense ?ow.
Themainideatointegratethesedi?erentviewsisadiscretizationofthedense
real-number time structure by using constant in?nitesimal time
steps within each real-number point in time. The underlying
mathematical structure of this time model is based on concepts of
Non-standard Analysis as proposed by Abraham Robinson in the 1950s.
The discrete modelling, i.e., the descr- tion of sequential
discrete algorithms at di?erent abstraction levels, is done with
Abstract State Machines along the formalisms developed by Yuri Gu-
vich and temporal logic. These ingredients produce a rich formal
basis for describing a large variety of systems with quantitative
linear time prop- ties, by seamless integration, re?nement and
embedding of continuous and discrete models into one uniform
semantic framework called Non-standard Timed Abstract State
Machines (NTASM)."
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