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Proper-Preserv Petri Net Proc Algebra ..In a component based approach for system design, one of the challenging problems is the way to prove the correctness of the created components. Usually, the constituent components are supposed to be correct possessing the desirable properties and free from undesirable ones. However, the operators may destroy these properties or create new ones, resulting in an undesirable new component. Hence, every created component has to go through a new process of
In a component-based approach for system design, one of the challenging problems is the way to prove the correctness of the created components. Usually, the constituent components are supposed to be correct -- possessing the desirable properties and free from undesirable ones. However, the operators may destroy these properties or create new ones, resulting in an undesirable new component. Hence, every created component has to go through a new process of verification, involving a tremendous amount of effort.This book presents a component -based methodology for the creation and verification of design specifications. The methodology is formally presented as an algebra called Property-Preserving Petri Net Process Algebra (PPPA). PPPA includes five classes of operators, and the authors show that every operator of PPPA can preserve a large number of basic system properties. Therefore, if the initial set of primitive components satisfies some of these properties, the created components will also "automatically" satisfy them without the need for further verification -- thus greatly saving verification efforts.Shipping Notes
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★★★★★ 5
The perfect toy for dogs!
Style: The Duo
This is perfect when you have 2 dogs who love to play Fetch! They no longer have to chase after the same ball! The balls that come with it are very sturdy, and the launcher sends both balls far enough away so that both dogs get plenty of exercise. It’s definitely worth the price!
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Reviewed in the United States on May 26, 2026
★★★★★ 5
PERFECT RETRIEVING TOY
Style: EcoFetch
You can barely whip it and it sails far and fast. This is the perfect retrieving toy for my GSP. She's used to average and we now have a small yard, so the dog park is where she gets to run hard and fast. You can also throw tennis balls with it, which is a plus for when her sister steals her ball.
5 star fun!
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Reviewed in the United States on May 27, 2026
★★★★★ 5
Perfect for puppy play
Style: EcoFetch
This is perfect. Works great for a smaller yard and the ball holds up to puppy teeth!
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Reviewed in the United States on May 18, 2026
★★★★★ 5
Easy to use for this old folk!
Style: EcoFetch
If you have a hard time to bend down and throw, this is perfect! It allows you to pick up the ball with little bending over. It also gives much further distance to your throws. Great quality to both the ball and wand.
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Reviewed in the United States on May 5, 2026
★★★★★ 5
Great product and fast shipping
Style: EcoFetch
Great ball launcher and ball. My dog adores it and plays with the ball even when she isn’t fetching.
Fast shipping as well!
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Reviewed in the United States on May 26, 2026