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» On the Algebraic Structure of Petri Nets
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ICALP
2005
Springer
13 years 11 months ago
Petri Algebras
The firing rule of Petri nets relies on a residuation operation for the commutative monoid of natural numbers. We identify a class of residuated commutative monoids, called Petri ...
Eric Badouel, Jules Chenou, Goulven Guillou
FUIN
2007
108views more  FUIN 2007»
13 years 5 months ago
An Axiomatization of the Token Game Based on Petri Algebras
The firing rule of Petri nets relies on a residuation operation for the commutative monoid of natural numbers. We identify a class of residuated commutative monoids, called Petri ...
Eric Badouel, Jules Chenou, Goulven Guillou
FUIN
2008
124views more  FUIN 2008»
13 years 5 months ago
Causal Semantics of Algebraic Petri Nets distinguishing Concurrency and Synchronicity
In this paper, we show how to obtain causal semantics distinguishing "earlier than" and "not later than" causality between events from algebraic semantics of Pe...
Gabriel Juhás, Robert Lorenz, Sebastian Mau...
ACSD
2006
IEEE
106views Hardware» more  ACSD 2006»
13 years 11 months ago
Synchronous + Concurrent + Sequential = Earlier than + Not later than
In this paper, we show how to obtain causal semantics distinguishing ”earlier than” and ”not later than” causality between events from algebraic semantics of Petri nets. J...
Gabriel Juhás, Robert Lorenz, Sebastian Mau...