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Categorical completeness results for the simply-typed lambda-calculus

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What this work says

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

inferredcites →https://doi.org/10.1006/inco.1995.1021openalex-snapshot
Statman′s 1-Section Theorem
inferredcites →https://doi.org/10.1007/bf01084396openalex-snapshot
The category of finite sets and Cartesian closed categories
inferredcites →https://doi.org/10.1007/bf02023009openalex-snapshot
λ-definable functionals andβη conversion
inferredcites →https://doi.org/10.1007/bfb0014052openalex-snapshot
βη-Equality for coproducts
inferredcites →https://doi.org/10.1007/bfb0037094openalex-snapshot
On Mints' reduction for ccc-calculus
inferredcites →https://doi.org/10.1007/bfb0064870openalex-snapshot
Equality between functionals
inferredcites →https://doi.org/10.1016/c2009-0-14341-6openalex-snapshot
The Lambda Calculus - Its Syntax and Semantics
inferredcites →https://doi.org/10.1016/s0022-4049(96)00137-5openalex-snapshot
Embedding of a free cartesian-closed category into the category of sets
inferredcites →https://doi.org/10.1016/s0049-237x(09)70166-1openalex-snapshot
Equality between Functionals Revisited
inferredcites →https://doi.org/10.1017/s0956796800001301openalex-snapshot
The virtues of eta-expansion
inferredcites →https://doi.org/10.1109/lics.1991.151645openalex-snapshot
An inverse of the evaluation functional for typed lambda -calculus
inferredcites →https://doi.org/10.1112/blms/19.2.190openalex-snapshot
INTRODUCTION TO HIGHER ORDER CATEGORICAL LOGIC (Cambridge Studies in Advanced Mathematics 7)
inferredcites →https://doi.org/10.2307/2273377openalex-snapshot
Completeness, invariance and λ-definability
inferredcites →https://doi.org/10.2307/2274784openalex-snapshot
Introduction to Higher Order Categorical Logic.

What points at this work

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

inferred← citeshttps://doi.org/10.1002/1521-3870(200101)47:1<137::aid-malq137>3.0.co;2-fopenalex-snapshot
The Maximality of Cartesian Categories
inferred← citeshttps://doi.org/10.1007/3-540-45504-3_6openalex-snapshot
Coherent Bicartesian and Sesquicartesian Categories
inferred← citeshttps://doi.org/10.1007/978-1-4471-0865-8openalex-snapshot
Models of Sharing Graphs
inferred← citeshttps://doi.org/10.1007/978-3-540-78127-1_20openalex-snapshot
Finite Dimensional Vector Spaces Are Complete for Traced Symmetric Monoidal Categories
inferred← citeshttps://doi.org/10.1007/978-3-642-02273-9_19openalex-snapshot
Kripke Semantics for Martin-Löf’s Extensional Type Theory
inferred← citeshttps://doi.org/10.1016/j.apal.2007.03.005openalex-snapshot
Coherence in smccs and equivalences on derivations in imll with unit
inferred← citeshttps://doi.org/10.1016/j.tcs.2003.11.011openalex-snapshot
Building continuous webbed models for system F
inferred← citeshttps://doi.org/10.1016/s1571-0661(04)00168-9openalex-snapshot
The Typed Böhm Theorem
inferred← citeshttps://doi.org/10.1016/s1571-0661(05)80724-8openalex-snapshot
Building continuous webbed models for system F
inferred← citeshttps://doi.org/10.1017/bsl.2019.21openalex-snapshot
ETA-RULES IN MARTIN-LÖF TYPE THEORY
inferred← citeshttps://doi.org/10.1017/s0960129502003778openalex-snapshot
βη-complete models for System F
inferred← citeshttps://doi.org/10.1017/s0960129599002807openalex-snapshot
Conditions for the completeness of functional and algebraic equational reasoning
inferred← citeshttps://doi.org/10.1017/s0960129599002972openalex-snapshot
Topological representation of the λ-calculus
inferred← citeshttps://doi.org/10.1023/a:1020568830946openalex-snapshot
Bicartesian Coherence
inferred← citeshttps://doi.org/10.1145/1328438.1328484openalex-snapshot
An approach to call-by-name delimited continuations
inferred← citeshttps://doi.org/10.1145/1328897.1328484openalex-snapshot
An approach to call-by-name delimited continuations
inferred← citeshttps://doi.org/10.1145/3093333.3009901openalex-snapshot
Deciding equivalence with sums and the empty type
inferred← citeshttps://doi.org/10.2168/lmcs-7(3:18)2011openalex-snapshot
Kripke Semantics for Martin-L\"of's Extensional Type Theory
inferred← citeshttps://doi.org/10.2178/bsl/1067620091openalex-snapshot
Identity of Proofs Based on Normalization and Generality
inferred← citeshttps://doi.org/10.23638/lmcs-14(4:21)2018openalex-snapshot
Taylor expansion in linear logic is invertible
inferred← citeshttps://doi.org/10.48456/tr-854openalex-snapshot
Programming contextual computations
inferred← citeshttps://doi.org/10.48550/arxiv.0711.4961openalex-snapshot
Bicartesian Coherence Revisited
inferred← citeshttps://doi.org/10.48550/arxiv.math/9911073openalex-snapshot
The Maximality of the Typed Lambda Calculus and of Cartesian Closed Categories
inferred← citeshttps://doi.org/10.70930/tac/wmeodwd7openalex-snapshot
Exploring the Gap between Linear and Classical Logic
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