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Showing 1 to 5 of 5 for “"dependent type theory"”.
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Polynomials and models of type theory
… we construct new models of intensional dependent type theory based on these categories. Firstly, we formalize the conceptual viewpoint that polynomials are built out of sums and products. Polynomial functors make sense in a category when there exist pseudomonads freely adding indexed …
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L-Fuzzy Relations in Coq
… prover based on Higher-Order Logic (HOL) with dependent types. This implementation can be used to specify and develop correct software based on L-fuzzy relations such as fuzzy controllers. We give an overview of lattices, L-fuzzy relations, category theory and dependent type theory before …
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Type theoretic weak factorization systems
… factorization systems that can interpret the theory of intensional dependent type theory with Σ, Π, and identity types. We use display map categories to serve as models of intensional dependent type theory. If a display map category (C, D) models Σ and identity types, then this structure …
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Homogeneous models and their toposes of supported sets
… from a homogeneous model, in the sense of model theory, but formulated in topos-theoretical terms. It is shown that the connecting structure between the two is a factorizing prime site and the notion of a principal model. This is further substantiated by demonstrating that the Fraïssé-Hrushovski …
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The Dialectica Models of Type Theory
… for building new models of Martin-Löf type theory out of old. We refer to the main techniques as gluing and idempotent splitting. For each we give general conditions under which type constructors exist in the resulting model. These techniques are used to construct some examples of …