By Jordi Cortadella, Michael Kishinevsky, Alex Kondratyev, Luciano Lavagno, Alex Yakovlev (auth.), Mogens Nielsen, Dan Simpson (eds.)

This booklet constitutes the refereed lawsuits of the twenty first foreign convention on software and idea of Petri Nets, ICATPN 2000, held in Aarhus, Denmark, in June 2000.

The 20 revised complete papers awarded including 4 invited surveys and 4 software shows have been conscientiously reviewed and chosen from fifty seven submissions. The papers deal with all present points of Petri web examine and improvement together with process layout and verification, UML, compositionality, approach algebras, version checking, desktop networking, company approach engineering, verbal exchange networks, and so on. a variety of periods of Petri nets are mentioned together with secure Petri nets, high-level Petri nets, coloured Petri nets, P/T nets, and timed Petri nets.

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**Extra info for Application and Theory of Petri Nets 2000: 21st International Conference, ICATPN 2000 Aarhus, Denmark, June 26–30, 2000 Proceedings**

**Sample text**

The s i m p l e s t group e x t e n s i o n 0 -) T -~ K -~ W -~ 1 w i t h given T × W . w 2) = (tlt21~wlw2) wl t2 where extension map is the image K K-~ W t2 has a homomorphic natural product G and also Spin(n) splits. The converse does not split~ 2: It seems because years. approach ~ S0(n) Theorem subgroup For, Note of N does S0(n) Spin(n) G2 F4,E6,E7~E 8 that Theorems about Section 2 gives 2 is the that if G , then N N for for shows~ require (or mod centers) i and 2 do not seem to have been no techniques not known that they will A conjecture as to what H-space for many be useful led to this study by our homotopy in a finite-dimensional questions is the not split Sp(n]/center theory.

I. There is an H-structure on followed by localization. S 7 such that f is an H-map. pf. (Zabrodsky). A separation element argument shows that, allowing different H-structures on S T, the obstruction to f being an H-map lies in Now H 1 4 ( S p ( 2 ) ( 3 ) ) = Z3, and s u b g r o u p o f o r d e r 3. shows ~2 e H14($7 ) g e n e r a t e s A look at the Postnikov system easily f # ( ~ 2 ) ~ 0, t h u s t h e d i s p l a y e d To e o n s t r u c t a cyclic K, c o n s i d e r coset i s 0.

The compact N I of D So L e m m a of L e m m a Theorem by be a i we i. The N and is j u s t the the quotient map. be least in a implies Lie group S m T semisimple tori and let is d e f i n e d tori} T by . Lie group exp: ~T G is (T,S) . map by (See it is w e l l (See, > T is I The C a r t a n - S t i e f e l [i]~ page i01). known that for e x a m p l e [6], need to show plan w i l l then show group identity for NO that I Thus and D Corollary in s set S(N) is the n o r m a l i z e r NO Lie of terms covering is abelian~ determines = S semisimple S N to d e f i n e S(N) component the u n i v e r s a l Since be which connected an e x p r e s s i o n NO G1 ~ G2 two m a x i m a l just torus be ma- i is proved.