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ramblings and thought on Haskell, programming and logic
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(parentheses) | ramblings and thought on Haskell, programming and logic (parentheses) ramblings and thought on Haskell, programming and logic Menu Skip to content Home About Useful links Frobenius property of weak factorisation systems and Pi-types Leave a reply I’ve put together a note on the Frobenius property for weak factorisaion systems and it’s relation to models of type theory. Awodey and Warren described a way of obtaining a model of type theory with identity types from a model category structure/weak factorisation system. However, in absence of axioms for other type formers (specifically, Π -types), one is required to put an additional restriction on the weak factorisation system, in order to model identity elimination in an arbitrary context/with arbitrary parameters; specifically, it is required that cofibrations are stable under pullbacks along fibrations. In presence of Π -types, however, this is not necessary, as I tried to explain in the note. ...
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