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» On the Algebraic Structure of Petri Nets
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APN
2007
Springer
15 years 3 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
15 years 4 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
15 years 1 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
14 years 9 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
15 years 3 months 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