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A new method of DNA computing using an unusual triple-stranded DNA structure mediated by RecA protein is introduced and a minor 3-variable instance of the satisfiability (SAT) problem is solved. Separations were performed by using biotinylated oligodeoxynucleotide probes coated with RecA protein. During the computation, sequence-specific recognition of double-stranded DNA by homologous oligodeoxynucleotides was fulfilled in the presence of ATPγS. Captured by the magnetic particles coated with streptavidin, the desirable double-stranded DNA strands were retained and extracted. It is suggested that the methods employed here may help decrease the errors in DNA computation and solve some larger size NP- complete problems.