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Observational equality: now for good

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What this work says

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

inferredcites →https://doi.org/10.1007/3-540-61780-9_66openalex-snapshot
Internal type theory
inferredcites →https://doi.org/10.1007/978-3-030-33636-3_7openalex-snapshot
Setoid Type Theory—A Syntactic Translation
inferredcites →https://doi.org/10.1016/s0049-237x(08)71945-1openalex-snapshot
An Intuitionistic Theory of Types: Predicative Part
inferredcites →https://doi.org/10.1016/s0049-237x(08)71989-xopenalex-snapshot
The Type Theoretic Interpretation of Constructive Set Theory
inferredcites →https://doi.org/10.1109/lics.1999.782636openalex-snapshot
Extensional equality in intensional type theory
inferredcites →https://doi.org/10.1145/1292597.1292608openalex-snapshot
Observational equality, now!
inferredcites →https://doi.org/10.1145/3158111openalex-snapshot
Decidability of conversion for type theory in type theory
inferredcites →https://doi.org/10.1145/3209108.3209197openalex-snapshot
On Higher Inductive Types in Cubical Type Theory
inferredcites →https://doi.org/10.1145/3290316openalex-snapshot
Definitional proof-irrelevance without K
inferredcites →https://doi.org/10.1145/3341691openalex-snapshot
Cubical agda: a dependently typed programming language with univalence and higher inductive types
inferredcites →https://doi.org/10.1145/3434341openalex-snapshot
The taming of the rew: a type theory with computational assumptions
inferredcites →https://doi.org/10.23638/lmcs-16(2:14)2020openalex-snapshot
Failure of Normalization in Impredicative Type Theory with Proof-Irrelevant Propositional Equality
inferredcites →https://doi.org/10.4115/jla.2016.8.1openalex-snapshot
An algebraic weak factorisation system on 01-substitution sets: a constructive proof
inferredcites →https://doi.org/10.4230/lipics.csl.2016.21openalex-snapshot
Extending Homotopy Type Theory with Strict Equality
inferredcites →https://doi.org/10.4230/lipics.fscd.2019.31openalex-snapshot
Cubical Syntax for Reflection-Free Extensional Equality
inferredcites →https://doi.org/10.4230/lipics.fscd.2024.10openalex-snapshot
A general definition of dependent type theories
inferredcites →https://doi.org/10.4230/lipics.itcs.2018.56openalex-snapshot
A Homological Theory of Functions: Nonuniform Boolean Complexity Separation and VC Dimension Bound Via Algebraic Topology, and a Homological Farkas Lemma
inferredcites →https://doi.org/10.4230/lipics.types.2015.5openalex-snapshot
Cubical Type Theory: A Constructive Interpretation of the Univalence Axiom
inferredcites →https://doi.org/10.70930/tac/a8860iydopenalex-snapshot
A C-system defined by a universe category

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-3-031-57262-3openalex-snapshot
Programming Languages and Systems
inferred← citeshttps://doi.org/10.1007/978-3-031-57262-3_12openalex-snapshot
Observational Equality Meets CIC
inferred← citeshttps://doi.org/10.1007/978-3-031-57262-3_13openalex-snapshot
Definitional Functoriality for Dependent (Sub)Types
inferred← citeshttps://doi.org/10.1007/s10817-022-09655-xopenalex-snapshot
Efficient Extensional Binary Tries
inferred← citeshttps://doi.org/10.1017/s0956796823000060openalex-snapshot
Normalization by evaluation for modal dependent type theory
inferred← citeshttps://doi.org/10.1145/3497775.3503951openalex-snapshot
Coq’s vibrant ecosystem for verification engineering (invited talk)
inferred← citeshttps://doi.org/10.1145/3547627openalex-snapshot
Propositional equality for gradual dependently typed programming
inferred← citeshttps://doi.org/10.1145/3547641openalex-snapshot
Staged compilation with two-level type theory
inferred← citeshttps://doi.org/10.1145/3547655openalex-snapshot
A reasonably gradual type theory
inferred← citeshttps://doi.org/10.1145/3571739openalex-snapshot
Impredicative Observational Equality
inferred← citeshttps://doi.org/10.1145/3632850openalex-snapshot
Internal and Observational Parametricity for Cubical Agda
inferred← citeshttps://doi.org/10.1145/3636501.3636951openalex-snapshot
Martin-Löf à la Coq
inferred← citeshttps://doi.org/10.1145/3674647openalex-snapshot
Dependent Ghosts Have a Reflection for Free
inferred← citeshttps://doi.org/10.1145/3704843openalex-snapshot
Consistency of a Dependent Calculus of Indistinguishability
inferred← citeshttps://doi.org/10.1145/3704851openalex-snapshot
A Dependent Type Theory for Meta-programming with Intensional Analysis
inferred← citeshttps://doi.org/10.1145/3704912openalex-snapshot
All Your Base Are Belong to Us: Sort Polymorphism for Proof Assistants
inferred← citeshttps://doi.org/10.1145/3719342openalex-snapshot
Observational Equality Meets CIC
inferred← citeshttps://doi.org/10.1145/3747506openalex-snapshot
Frex: Dependently Typed Algebraic Simplification
inferred← citeshttps://doi.org/10.1145/3747508openalex-snapshot
Normalization by Evaluation for Non-cumulativity
inferred← citeshttps://doi.org/10.1145/3747511openalex-snapshot
McTT: A Verified Kernel for a Proof Assistant
inferred← citeshttps://doi.org/10.1145/3747535openalex-snapshot
Type Theory in Type Theory using a Strictified Syntax
inferred← citeshttps://doi.org/10.1145/3776678openalex-snapshot
Handling Higher-Order Effectful Operations with Judgemental Monadic Laws
inferred← citeshttps://doi.org/10.1145/3779031.3779085openalex-snapshot
Mechanizing Synthetic Tait Computability in Istari
inferred← citeshttps://doi.org/10.1145/3779031.3779090openalex-snapshot
Can We Formalise Type Theory Intrinsically without Any Compromise? A Case Study in Cubical Agda
inferred← citeshttps://doi.org/10.70675/1423c0dez59dez4873zac7fzc6cd90f116dbopenalex-snapshot
Generic bidirectional typing in a logical framework for dependent type theories
inferred← citeshttps://doi.org/10.70675/c1efe9f4z1500z4e67zaad4zcb5531cce150openalex-snapshot
Continuité en théorie des types
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