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The theory of an arbitrary higher \(\lambda\)-model. (English) Zbl 07811407

MSC:

03B70 Logic in computer science

References:

[1] R. de Queiroz, A. de Oliveira, A. Ramos, Propositional equality, identity types, and direct computational paths, South American Journal of Logic, vol. 2(2) (2016), pp. 245-296.
[2] J. Lurie, Higher Topos Theory, Princeton University Press, Princeton and Oxford (2009), DOI:
DOI: · Zbl 1175.18001 · doi:10.1515/9781400830558
[3] D. Martínez-Rivillas, R. de Queiroz, Solving Homotopy Domain Equations, arXiv:2104.01195, (2021).
[4] D. Martínez-Rivillas, R. de Queiroz, The ∞-groupoid generated by an arbitrary topological λ-model, Logic Journal of the IGPL (also arXiv:1906.05729), vol. 30 (2022), pp. 465-488, URL:
DOI: · Zbl 1494.03033 · doi:10.1093/jigpal/jzab015
[5] D. Martínez-Rivillas, R. de Queiroz, Towards a Homotopy Domain Theory, Archive for Mathematical Logic (also arXiv 2007.15082), (2022), URL:
DOI: · Zbl 07680036 · doi:10.1007/s00153-022-00856-0
[6] C. Rezk, Introduction to Quasicategories, Lecture Notes for course at University of Illinois at Urbana-Champaign (2022), URL:
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