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A unifying theory of dependent types: the schematic approach

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-52335-9_47openalex-snapshot
Inductively defined types
inferredcites →https://doi.org/10.1007/3-540-53982-4_9openalex-snapshot
Program specification and data refinement in type theory
inferredcites →https://doi.org/10.1007/bf00660889openalex-snapshot
On the idea of a general proof theory
inferredcites →https://doi.org/10.1016/0890-5401(88)90005-3openalex-snapshot
The calculus of constructions
inferredcites →https://doi.org/10.1016/0890-5401(91)90062-7openalex-snapshot
A higher-order calculus and theory abstraction
inferredcites →https://doi.org/10.1016/0890-5401(92)90031-aopenalex-snapshot
The Extended Calculus of Constructions (ECC) with inductive types
inferredcites →https://doi.org/10.1016/s0049-237x(08)71941-4openalex-snapshot
The Philosophical Basis of Intuitionistic Logic
inferredcites →https://doi.org/10.1016/s0049-237x(08)71945-1openalex-snapshot
An Intuitionistic Theory of Types: Predicative Part
inferredcites →https://doi.org/10.1017/cbo9780511569807.011openalex-snapshot
An algorithm for testing conversion in type theory
inferredcites →https://doi.org/10.1017/cbo9780511569807.012openalex-snapshot
Inductive sets and families in Martin-Löf's type theory and their set-theoretic semantics
inferredcites →https://doi.org/10.1017/s0960129500000256openalex-snapshot
Program specification and data refinement in type theory
inferredcites →https://doi.org/10.1109/lics.1989.39193openalex-snapshot
ECC, an extended calculus of constructions
inferredcites →https://doi.org/10.1145/138027.138060openalex-snapshot
A framework for defining logics
inferredcites →https://doi.org/10.2307/2274575openalex-snapshot
The independence of Peano's fourth axiom from Martin-Löf's type theory without universes
inferredcites →https://doi.org/10.5860/choice.29-1468openalex-snapshot
The logical basis of metaphysics

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Existence and Uniqueness of Normal Forms in Pure Type Systems with βη-conversion
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Implementation Techniques for Inductive Types in Plastic
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Program specification and data refinement in type theory
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Encoding Z-style Schemas in type theory
inferred← citeshttps://doi.org/10.1007/3-540-60579-7_4openalex-snapshot
The metatheory of UTT
inferred← citeshttps://doi.org/10.1007/3-540-63172-0_45openalex-snapshot
Coercive subtyping in type theory
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Reasoning about Relations with Dependent Types: Application to Context-Aware Applications
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Towards an Ontological Modeling with Dependent Types: Application to Part-Whole Relations
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Semantics of constructions (I) — The traditional approach
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History of Interactive Theorem Proving
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An Approach to Nondeterminism in Translation of CZ Set Theory into Martin-Löf 's Theory of Types
inferred← citeshttps://doi.org/10.1016/j.entcs.2007.09.017openalex-snapshot
Coercive Subtyping via Mappings of Reduction Behaviour
inferred← citeshttps://doi.org/10.1016/s1571-0661(05)80314-7openalex-snapshot
Dependent Coercions
inferred← citeshttps://doi.org/10.1023/a:1010648911114openalex-snapshot
An Implementation of LF with Coercive Subtyping & Universes
inferred← citeshttps://doi.org/10.1145/1086365.1086375openalex-snapshot
Combining programming with theorem proving
inferred← citeshttps://doi.org/10.1145/292540.292560openalex-snapshot
Dependent types in practical programming
inferred← citeshttps://doi.org/10.3233/978-1-58603-893-9-12openalex-snapshot
A Theorem Prover with Dependent Types for Reasoning about Actions
inferred← citeshttps://doi.org/10.3233/ao-2012-0113openalex-snapshot
A type-theoretical approach for ontologies: The case of roles
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RECURSIVE MODELS OF GENERAL INDUCTIVE TYPES
inferred← citeshttps://doi.org/10.3233/fi-2010-351openalex-snapshot
Modeling Contexts with Dependent Types
inferred← citeshttps://doi.org/10.3233/fun-2005-681-205openalex-snapshot
The Open Calculus of Constructions (Part I): An Equational Type Theory with Dependent Types for Programming, Specification, and Interactive Theorem Proving
inferred← citeshttps://doi.org/10.3233/fun-2008-881-205openalex-snapshot
Nondeterminism in Constructive Z
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A formal framework for heterogeneous systems semantics
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Mécanismes Orientés-Objets pour l'Interopérabilité entre Systèmes de Preuve
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