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2009•Journal of Neijiang Normal UniversityRequires access

A Surface-based DNA Algorithm for the Conversion of Conjunctive Normal Form into Disjunctive Normal Form

Dai Xi-bin

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Abstract

Since the computational complexity in converting conjunctive normal form into disjunctive normal form is exponentially graded,therefore,in order to simplify the computational complexity,a surface-based DNA algorithm for the conversion of normal form transforming into disjunctive normal form is put forth.Because DNA base pairing can take place simultaneously,the surface-based DNA algorithm is capable of parallel computation,which makes it possible to lower the computational complexity of converting conjunctive normal form into disjunctive normal form to that of a polynomial operation.

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What this paper is about

Since the computational complexity in converting conjunctive normal form into disjunctive normal form is exponentially graded,therefore,in order to simplify the computational complexity,a surface-based DNA algorithm for the conversion of normal form transforming into disjunctive normal form is put forth.Because DNA base pairing can take place simultaneously,the surface-based DNA algorithm is capable of parallel computation,which makes it possible to lower the computational complexity of converting conjunctive normal form into disjunctive normal form to that of a polynomial operation.

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Available abstract

Since the computational complexity in converting conjunctive normal form into disjunctive normal form is exponentially graded,therefore,in order to simplify the computational complexity,a surface-based DNA algorithm for the conversion of normal form transforming into disjunctive normal form is put forth.Because DNA base pairing can take place simultaneously,the surface-based DNA algorithm is capable of parallel computation,which makes it possible to lower the computational complexity of converting conjunctive normal form into disjunctive normal form to that of a polynomial operation.

Key concepts: Disjunctive normal form, Conjunctive normal form, Computational complexity theory, Computation, Algorithm, Mathematics, Polynomial, Order (exchange)

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