I am currently reading a Simon Thompson's Type Theory book. In chapter 5 he introduces a system TT(0,C), which limits a notion of reduction . In this notion of reduction, reductions under lambda are forbidden. Why is it useful? Will we lose strong normalization property if we allow reductions under lambda?
2026-03-28 02:41:09.1774665669
Reductions under lambda in dependently typed lambda calculus
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