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    IMPERIAL
    1993
    195views Formal Methods» more  IMPERIAL 1993»
    Deriving Category Theory from Type Theory
    13 years 8 months ago
    Deriving Category Theory from Type Theory
    Download  www.cs.le.ac.uk
    This work expounds the notion that (structured) categories are syntax free presentations of type theories, and shows some of the ideas involved in deriving categorical semantics f...
    Roy L. Crole
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    LICS
    2012
    IEEE
    276views Automated Reasoning» more  LICS 2012»
    Foundational, Compositional (Co)datatypes for Higher-Order Logic: Category Theory Applied to Theorem Proving
    11 years 7 months ago
    Foundational, Compositional (Co)datatypes for Higher-Order Logic: Category Theory Applied to Theorem Proving
    Download  www4.in.tum.de
    —Interactive theorem provers based on higher-order logic (HOL) traditionally follow the definitional approach, reducing high-level specifications to logical primitives. This al...
    Dmitriy Traytel, Andrei Popescu, Jasmin Christian ...
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    ENTCS
    2008
    128views more  ENTCS 2008»
    Towards Formalizing Categorical Models of Type Theory in Type Theory
    13 years 4 months ago
    Towards Formalizing Categorical Models of Type Theory in Type Theory
    Download  www.itu.dk
    This note is about work in progress on the topic of "internal type theory" where we investigate the internal formalization of the categorical metatheory of constructive ...
    Alexandre Buisse, Peter Dybjer
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    ICFP
    2003
    ACM
    125views Programming Languages» more  ICFP 2003»
    Discriminative sum types locate the source of type errors
    14 years 4 months ago
    Discriminative sum types locate the source of type errors
    Download  www.informatik.uni-freiburg.de
    We propose a type system for locating the source of type errors in an applied lambda calculus with ML-style polymorphism. The system is based on discriminative sum types--known fr...
    Matthias Neubauer, Peter Thiemann
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    CORR
    2004
    Springer
    104views Education» more  CORR 2004»
    Multi-dimensional Type Theory: Rules, Categories, and Combinators for Syntax and Semantics
    13 years 4 months ago
    Multi-dimensional Type Theory: Rules, Categories, and Combinators for Syntax and Semantics
    Download  akira.ruc.dk
    Jørgen Villadsen
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