Prove TypeSystemNormalization (openai/math family 245: The $\beta$-Barendregt–Geuvers–Klop conjecture) in…
Prove TypeSystemNormalization (openai/math family 245: The $\beta$-Barendregt–Geuvers–Klop conjecture) in…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 245 of the release, The $\beta$-Barendregt–Geuvers–Klop conjecture (Mathematical…
The task
Context: this statement belongs to family 245 of the release, *The $\beta$-Barendregt–Geuvers–Klop conjecture* (Mathematical logic). The family as a whole: Proves that weak normalization implies strong normalization for every pure type system: if every legal expression in every valid context has a $\beta$-normal…
Part of raising-heart/openai-math.