New posts in Type Theory

Function "evaluation" just means "composition"?

Generalized Recursion vs. Turing Completeness

What theory of logic or types considers the "category of propositions"?

Propositional truncation $||$-$||$ and double negation $\neg\neg$

what does it mean for a function "not to respect equality"

Online reference book for *implementing* concepts in type theory.

How can types represent both sets and propositions in Lambda calculus?

Has a conjecture ever originally been decided by constructing the proof with mathematical logic?

Axiom checking as type checking?

Are there important locally cartesian closed categories that actually are not cartesian closed?