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Inthis research paper, the author discusses one of the basic proofing techniqueswhich is Induction Reasoning; others are deduction and contradiction reasoning.Through this technique, the author discusses the Minimal NondeterministicFinite Automaton. Minimal Automaton is an Automaton with the less States, as weknow there are more than one automaton which accommodate the same regularlanguage. Thisresearch paper is based upon the parallel algorithm in which we can be executeda piece at a time on many different processing devices, and after that thisalgorithm combine the result together again at the end to show us the correctresult. Parallel algorithm is very useful in processing huge volumes of data inquick time. Thispaper is also describe the converting NFA induction problem into a constraintsatisfaction problem (CSP).

Constraint satisfaction problems (CSPs) are the mathematicalproblems which can be define in the form of objects whose state should satisfy thenumber of limitations. Formally, a CS problems are defined as a triple {X, D, C} X = is a total set of variables andD = is a set of the values, andC = is a set of constraints. Manytechniques are also discussed in this paper to solve CSP problems as well theefficiency of the parallel algorithms are also measured / benchmarked. Theauthor of this paper also design a parallel algorithm which will be helpful tosolve a, induction problem into CSP problem within a seconds. This algorithmbreak down the problem and simultaneously this problem is solved by all threadsto verify the answer and the minimum answer is picked in this paper. In myopinion, this technique is good to compose amino acids symbols to discover thecompounds which are currently undiscovered.

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The technique proposed in thispaper does not only tested or benchmarked for example problems but also forcounter examples problems and example problems are shown S+ andCounter Examples are shown as S–  Inthis paper, the proposed algorithm is basically the updating of the previousalgorithm and due to that update, the time consuming for large problems isbecomes very less. The previous algorithm was design in C++ but the new updatealgorithm is design in Java.

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