12 research outputs found
A superadditivity and submultiplicativity property for cardinalities of sumsets
For finite sets of integers A1, . . . ,An we study the cardinality of the n-fold
sumset A1 + · · · + An compared to those of (n − 1)-fold sumsets A1 + · · · + Ai−1 +
Ai+1 + · · · + An. We prove a superadditivity and a submultiplicativity property for
these quantities. We also examine the case when the addition of elements is restricted
to an addition graph between the sets
On the semantics of concurrency: Partial orders and transition systems
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Parameterized Net Classes: A Uniform Approach to Petri Net Classes
The concept of parameterized net classes is introduced in order to allow a uniform approach to different kinds of Petri net classes. By differen