### Table 2: Properties of random boolean nets for di erent values of K. Homeo- static stability refers to the tendency to return to the same attractor after a transient reversal of any one element. Reachability amongst other state cycles refers to the number of other attractor cycles reachable by single perturbations. is a constant dependent on K referred to in the original text. Taken from [4]

### Table 1: Encoding of places for k-bounded Petri nets (with k = 3). 8 Weighted and Bounded Petri Nets This section will extend the already presented PN modeling and analysis techniques to weighted and bounded nets. First, bounded nets require sets of boolean variables to encode places. Once a encoding is selected it is necessary to build the corresponding transition functions. Finally, it will be necessary to verify that the boundedness assumptions hold, and extend the model to include inhibitor arcs. 8.1 Place Encoding A place p 2 P that may contain up to k tokens can be represented with a set of boolean variables, p1; : : :; pKp to encode the up-to-k possible number of tokens. The number of required variables depends on the type of encoding. Two di erent encoding strategies will be proposed: one-hot encoding and binary encoding. If an one-hot encoding is used, k variables are needed. For example, in a 3-bounded PN the number of tokens in place p could be represented by three variables (see Table 1). With a binary encoding dlog2(k +1)e variables would be required. Only two binary variables are required in a 3-bounded PN (see

"... In PAGE 21: ... With a binary encoding dlog2(k +1)e variables would be required. Only two binary variables are required in a 3-bounded PN (see Table1 ). The selected one-hot encoding will be equivalent to the binary encoding in case of safe PNs.... ..."

### lable: boolean);

in Simple and Integrated Heuristic Algorithms for Scheduling Tasks with Time and Resource Constraints

1987

Cited by 21

### Table 1. Effects of Approach on Petri Nets and Reachability Graphs

1996

"... In PAGE 11: ... The code for readers/writers programs is fairly standard, with a Boolean variable WriterPresent used to track the presence of a writer. The notation gasXY indicates an instance of the standard gas station problem [HL85] with The effects of using these techniques for the sample programs can be found in Table1 . In the table, NA means that no additional information is included in the Petri net for the program.... ..."

Cited by 7

### Table 4: Query Syntax and Examples Query Type Examples

2006

"... In PAGE 64: ... 6.4 User Interface And Query Functionalities Table4 lists he syntax and examples of six different querying modes implemented so far, including querying by text keywords, image features (currently color), and image example, as well as Boolean combinations thereof. For some snapshots of query ex- amples, see the attached figures.... ..."

### Table 5.1: Basic functionality annotations for naming concept responsibilities

### TABLE I BOOLEAN MEMBERSHIPFUNCTION.

1999

Cited by 62

### Table 2. Boolean equations

"... In PAGE 2: ... Local criteria are expressed in the form of a boolean equation, different for each level of the tree. Table2 present the equations in postfix format for the fifteen levels of the tree. First number of each pair is the criterion code as displayed in first column of Table 1.... ..."