Abstract
The purpose is to present a new and better representation for the adaptive finite automaton and to also show that both formulations – the original and the newly created – have the same computational power. Adaptive finite automaton original formulation was explored and a way to overcome some difficulties found by [7] in its representation and proofs about its computational power were sought. Afterwards both formulations show to be equivalent in representation and in computational power, but the new one has a highly simplified algebraic notation. The use of the new formulation actually allows simpler theorem proofs and generalizations, as can be verified in the last section of the paper.
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Silva Filho, R.I., de Azevedo da Rocha, R.L. (2011). Adaptive Finite Automaton: A New Algebraic Approach. In: Dobnikar, A., Lotrič, U., Šter, B. (eds) Adaptive and Natural Computing Algorithms. ICANNGA 2011. Lecture Notes in Computer Science, vol 6594. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20267-4_29
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DOI: https://doi.org/10.1007/978-3-642-20267-4_29
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