On the Formalization of Higher Inductive Types and Synthetic Homotopy Theory
On the Formalization of Higher Inductive Types and Synthetic Homotopy Theory
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关于更高归纳类型和综合同伦理论的形式化
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
Floris van Doorn
中科院分区：
文献类型：
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作者：
Floris van Doorn
本论文的目的是在同伦型理论的背景下提出综合同伦理论。我们将在这个框架中提出各种结果，最值得注意的是Atiyah-Hirzebruch和Serre上同调谱序列的构建，这些序列已经在精益证明助手中完全正式化。
The goal of this dissertation is to present synthetic homotopy theory in the setting of homotopy type theory. We will present various results in this framework, most notably the construction of the Atiyah-Hirzebruch and Serre spectral sequences for cohomology, which have been fully formalized in the Lean proof assistant.