Philip Zucker • 5/10/2026

Family Orienting Python Frozenset Dependent Type Theory

This article discusses implementing dependent type theory semantics in Python using frozensets, with a focus on the concept of 'family' (set-valued functions). The author argues that judgements in type theory should be interpreted as mappings, not just the right-hand side. Key insights include using 0-arity lifted versions of types and treating everything as a family of sets. The post builds on previous work and offers a technical perspective on type theory semantics for programmers familiar with Python and set theory.

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#Python #type theory #Frozenset