Richard Garner
Abstract
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We describe a non-extensional variant of Martin-Löf type theory, which we call two-dimensional type theory, and equip it with a sound and complete semantics valued in 2-categories.
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We describe a non-extensional variant of Martin-Löf type theory, which we call two-dimensional type theory, and equip it with a sound and complete semantics valued in 2-categories.
Key concepts: Type theory, Extensional definition, Type (biology), Semantics (computer science), Computer science, Mathematics, Linguistics, Programming language