History and Philosophy of Constructive Type Theory

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The book offers an in-depth exploration of Martin-Löf's constructive type theory, highlighting its evolution from 1970 to 1995 through eight distinct stages. Sommaruga meticulously surveys the prehistory and complex development of type theory, presenting a comprehensive account of its latest version as introduced by Martin-Löf in 1993. Unlike previous brief presentations, this work addresses critical issues related to type theory's implications for logic and the foundations of mathematics, dedicating a significant section to these topics.