Abstract
One specific model of a digital system in different types of Petri nets is presented. The formal definitions of the basic (black-and-white) Petri net, a place/transition net (P/T net), an arc-constant coloured Petri net (ac-CPN) and a coloured Petri net (CPN) are presented and explained on the basis of this example. Real models of dining philosophers, a producer-consumer system and railway tracks are described.
Highlights
Introduction and motivationPetri nets (PN) are a well established mechanism for system modeling
Petri net based models have been used in our research on digital design methodology: the design of a processor or control system architecture with special properties, e.g. fault-tolerant or fault-secure, hardware-software co-design, computer networks architecture, etc
It is said that the resulting hardware must be deterministic, but we have found real models that are not equivalent to an Finite State Machine (FSM) and their real behavior was tested on the final Field Programmable Gate Array (FPGA) design kit platform [8]
Summary
One specific model of a digital system in different types of Petri nets is presented. The formal definitions of the basic (black-and-white) Petri net, a place/transition net (P/T net), an arc-constant coloured Petri net (ac-CPN) and a coloured Petri net (CPN) are presented and explained on the basis of this example. Real models of dining philosophers, a producer-consumer system and railway tracks are described
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