As a matter of fact, Boole's algebraic manipulations can be regarded as derived rules arising from the following replacement rule, a nonuniform version of substitution. A=B D=C[⋯A⋯]D=C[⋯B⋯] This rule may be seen to codify Boole's practice and its doctrine. For he captur...
We coined the term ‘syntactical freedom’ for recognizing this property, with inspiration from an earlier work [5]. We also showed that such free groups have the distinctive property of generating an aperiodic substitution rule, providing a connection between (group) syntactical freedom and ...
The authors used simulated annealing to identify a rule system, and no prior information was required. The proposed fuzzy classifier can split the forest into three categories: deciduous, coniferous, and mixed forest. According to the authors, the proposed idea required three rules for the ...