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In 1956, Robert M. Solow published a mathematical theory which describes capital accumulation, technological advancements, and population growth. The Solow model is widely used in economics. In this paper we describe a formalization of the model in the \(\mathbb {N}\) aproche proof assistant. The formalization also encompasses mathematical foundations from real analysis. This is the first formalization of an economic model which is also readable like an ordinary mathematical text.

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Formalizing the Solow Model in \(\mathbb {N}\) aproche

  • 会议论文

  • 发表日期：

    2026年

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  • Peter Koepke,
  • Patrick Schäfer

摘要

In 1956, Robert M. Solow published a mathematical theory which describes capital accumulation, technological advancements, and population growth. The Solow model is widely used in economics. In this paper we describe a formalization of the model in the \(\mathbb {N}\) aproche proof assistant. The formalization also encompasses mathematical foundations from real analysis. This is the first formalization of an economic model which is also readable like an ordinary mathematical text.