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» On the Algebraic Structure of Petri Nets
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APN
2007
Springer
14 years 1 months ago
Petri Nets, Discrete Physics, and Distributed Quantum Computation
We shall describe connections between Petri nets, quantum physics and category theory. The view of Net theory as a kind of discrete physics has been consistently emphasized by Carl...
Samson Abramsky
AB
2008
Springer
14 years 1 months ago
Neural Algebra and Consciousness: A Theory of Structural Functionality in Neural Nets
Abstract. Thoughts are spatio-temporal patterns of coalitions of firing neurons and their interconnections. Neural algebras represent these patterns as formal algebraic objects, a...
Erwin Engeler
APN
2009
Springer
13 years 11 months ago
Deficiency Zero Petri Nets and Product Form
Abstract. Consider a Markovian Petri net with race policy. The marking process has a "product form" stationary distribution if the probability of viewing a given marking ...
Jean Mairesse, Hoang-Thach Nguyen
TCS
2008
13 years 7 months ago
True-concurrency probabilistic models: Markov nets and a law of large numbers
We introduce the model of Markov nets, a probabilistic extension of safe Petri nets under the true-concurrency semantics--this means that traces, not firing sequences, are given a...
Samy Abbes, Albert Benveniste
APN
2004
Springer
14 years 23 days ago
On the Use of Coloured Petri Nets for Object-Oriented Design
Abstract. Behaviour specification in object-oriented design clearly benefits from the use of a formal, or semi-formal, visual specification language. This is attested by the ado...
João Paulo Barros, Luís Gomes