The Power of Diversity
- Cite this paper as:
- Thérien D. (2011) The Power of Diversity. In: Holzer M., Kutrib M., Pighizzini G. (eds) Descriptional Complexity of Formal Systems. DCFS 2011. Lecture Notes in Computer Science, vol 6808. Springer, Berlin, Heidelberg
In computations realized by finite automata, a rich understanding has come from comparing the algebraic structure of the machines to the combinatorics of the languages being recognized. In this expository paper, we will first survey some basic ideas that have been useful in this model. In the second part, we sketch how this dual approach can be generalized to study some important class of boolean circuits, what results have been obtained, what questions are still open. The intuition gained in the simple model sometimes carry through, sometimes not, so that one has to be careful on what conjectures to make.
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