One takes advantage of some basic properties of every homotopic $\lambda$-model (e.g.\ extensional Kan complex) to explore the higher $\beta\eta$-conversions, which would correspond to proofs of equality between terms of a theory of equality of any extensional Kan complex. Besides, Identity types based on computational paths are adapted to a type-free theory with higher $\lambda$-terms, whose equality rules would be contained in the theory of any $\lambda$-homotopic model.
翻译:利用每个同质体$\lambda$-model(例如\ 扩展式Kan综合体)的某些基本特性,探索更高的美元/贝塔/eta$-转换,这相当于任何扩展式Kan综合体平等理论中平等条件的证据,此外,基于计算路径的识别类型也适应了一种无型理论,高值$/lambda$-terms,其平等规则将载于任何$/lambda$-homoticle模型的理论中。