Homotopy Type Theory For Dummies

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Homotopic interpretation Homotopic Model A : <strong>Type</strong> a, b : A p, q : a = b H : p = q Thorsten Altenkirch (Nottingham) Edinburgh 13 October 30, 2013 8 / 29
Homotopic interpretation Uniqueness of Identity proofs ? Π p:a=a p = refl ? Thorsten Altenkirch (Nottingham) Edinburgh 13 October 30, 2013 9 / 29
Page 1 and 2: Homotopy Type Theory For Dummies Th
Page 3 and 4: Basic Type Theory Type Theory 101 M
Page 5 and 6: Identity types Identity types Given
Page 7: Identity types Should equality be p
Page 11 and 12: Homotopic interpretation While we c
Page 13 and 14: The univalence axiom Univalence Rej
Page 15 and 16: The univalence axiom What is the eq
Page 17 and 18: Truncation levels Truncation levels
Page 19 and 20: Truncation levels The Truncation Hi
Page 21 and 22: HITs Higher inductive types There a
Page 23 and 24: HITs Higher inductive types This al
Page 25 and 26: HITs Truncations We can use HITs to
Page 27 and 28: Metatheory Constructive models The
Page 29: Computer Science ? The HoTT people

Homotopy Type Theory For Dummies

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