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Introduction to Dependent Type Theory

Introduction to Dependent Type Theory

Dec 15, 2022 by Thomas Kehrenberg

This sequence of posts is an introduction to Martin-Löf dependent type theory, based on the book Homotopy Type Theory (usually called HoTT), but without the homotopy part. These posts describe how to set up type theory as an alternative foundation of mathematics, in place of set theory.

Prior knowledge of set theory is required.

49Basic building blocks of dependent type theory
Thomas Kehrenberg
3y
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18Recreating logic in type theory
Thomas Kehrenberg
3y
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5Classical logic based on propositions-as-subsingleton-types
Thomas Kehrenberg
3y
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5Set-like mathematics in type theory
Thomas Kehrenberg
3y
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6Extensionality and the univalence axiom of type theory
Thomas Kehrenberg
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