Normal forms in cubical type theory
X Huang - arXiv preprint arXiv:2603.24923, 2026 - arxiv.org
X Huang
arXiv preprint arXiv:2603.24923, 2026•arxiv.org… The definition is already present in the proof of normalization for cubical type theory [7, 6],
but we present it in a more traditional style explicitly for reference. … We begin by discussing
the normal forms in Martin-Löf type theory. Recall the syntax of Martin-Löf … Indeed, in
the proof of normalization for Martin-Löf type theory, we consider computability structures
over the category of renamings only, and normal forms are preserved under renamings. …
but we present it in a more traditional style explicitly for reference. … We begin by discussing
the normal forms in Martin-Löf type theory. Recall the syntax of Martin-Löf … Indeed, in
the proof of normalization for Martin-Löf type theory, we consider computability structures
over the category of renamings only, and normal forms are preserved under renamings. …
This note documents the specification of normal forms in cubical type theory. The definition is already present in the proof of normalization for cubical type theory, but we present it in a more traditional style explicitly for reference.
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