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Syntax and Semantics of Linear Dependent Types

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If you have a question about this talk, please contact Neel Krishnaswami.

A type theory is presented that combines (intuitionistic) linear types with type dependency. More precisely, it is a type theory in which linear types are allowed to depend on terms of intuitionistic types. A syntax and (complete) categorical semantics are discussed, the latter in terms of (strict) indexed symmetric monoidal categories with a notion of comprehension. Finally, a few concrete models are touched on.

This talk is part of the Lab Lunch series.

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