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The purpose of this article is to survey the research in molecular computing, including the achievements of the Japanese Molecular Computer Project, and foresee the future of the field. In addition to describing the major achievements of the project, Suyama's Dynamic Programming Molecular Computer and Sakamoto's Hairpin Engines, we summarize the computational paradigms related to molecular computing in order to provide a perspective on the field. We finally explain the idea of molecular programming, that the author is currently advocating.