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Book Chapter
A Simulation Preorder for Abstraction of Reactive Systems
Book Series
Lecture Notes in Computer Science
Publisher
Springer Berlin / Heidelberg
ISSN
0302-9743 (Print) 1611-3349 (Online)
Volume
Volume 2294/2002
Book
Verification, Model Checking, and Abstract Interpretation
DOI
10.1007/3-540-47813-2
Copyright
2002
ISBN
978-3-540-43631-7
DOI
10.1007/3-540-47813-2_19
Pages
265-268
Subject Collection
Computer Science
SpringerLink Date
Tuesday, January 01, 2002
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A Simulation Preorder for Abstraction of Reactive Systems
Ferucio Laurentţiu TŢiplea
5
and Aurora TŢiplea
5
(5)
Faculty of Computer Science, “Al. I. Cuza” University, 6600 Iasşi, Romania
Abstract
We present a
simulation preorder
for reactive systems modeled by
fair Kripke structures
whose transition relation is divided into two parts,
internal
and
external
. The first one models the internal behaviour of the system, while the second one is used to model the interaction with an environment. We show that our simulation preorder preserves a substantial subset of
∀CTL&
*
. Then, we present an
abstraction
technique for systems composed by multiple modules and we show that each such system is smaller in the simulation preorder than its “augmented” components. We illustrate our abstraction methodology by applying it to
Petri net reactive systems
.
Ferucio
Laurentţiu
TŢiplea
Email:
fltiplea@mail.dntis.ro
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