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Coq Coq correct! verification of type checking and erasure for Coq, in Coq

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What this work says

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

inferredcites →https://doi.org/10.1007/3-540-39185-1_12openalex-snapshot
A New Extraction for Coq
inferredcites →https://doi.org/10.1007/978-3-319-08970-6_32openalex-snapshot
Universe Polymorphism in Coq
inferredcites →https://doi.org/10.1007/978-3-319-22102-1_24openalex-snapshot
Autosubst: Reasoning with de Bruijn Terms and Parallel Substitutions
inferredcites →https://doi.org/10.1007/978-3-319-89884-1_35openalex-snapshot
A Verified Compiler from Isabelle/HOL to CakeML
inferredcites →https://doi.org/10.1007/978-3-319-94821-8_2openalex-snapshot
Towards Certified Meta-Programming with Typed Template-Coq
inferredcites →https://doi.org/10.1007/s10817-019-09540-0openalex-snapshot
The MetaCoq Project
inferredcites →https://doi.org/10.1016/0890-5401(88)90005-3openalex-snapshot
The calculus of constructions
inferredcites →https://doi.org/10.1016/s0747-7171(89)80045-8openalex-snapshot
Parallel reductions in λ-calculus
inferredcites →https://doi.org/10.1017/s0956796800000186openalex-snapshot
Explicit substitutions
inferredcites →https://doi.org/10.1017/s0956796803004829openalex-snapshot
The view from the left
inferredcites →https://doi.org/10.1017/s0956796813000282openalex-snapshot
Proof-producing translation of higher-order logic into pure and stateful ML
inferredcites →https://doi.org/10.1017/s0956796814000264openalex-snapshot
F-ing modules
inferredcites →https://doi.org/10.1109/lics.2017.8005113openalex-snapshot
An effectful way to eliminate addiction to dependence
inferredcites →https://doi.org/10.1145/2103656.2103723openalex-snapshot
Self-certification
inferredcites →https://doi.org/10.1145/2429069.2429075openalex-snapshot
Copatterns
inferredcites →https://doi.org/10.1145/2756553openalex-snapshot
A New Approach to Incremental Cycle Detection and Related Problems
inferredcites →https://doi.org/10.1145/3158111openalex-snapshot
Decidability of conversion for type theory in type theory
inferredcites →https://doi.org/10.1145/3167089openalex-snapshot
Œuf: minimizing the Coq extraction TCB
inferredcites →https://doi.org/10.1145/3290316openalex-snapshot
Definitional proof-irrelevance without K
inferredcites →https://doi.org/10.1145/3341690openalex-snapshot
Equations reloaded: high-level dependently-typed functional programming and proving in Coq
inferredcites →https://doi.org/10.4230/lipics.itp.2019.17openalex-snapshot
A Certifying Extraction with Time Bounds from Coq to Call-By-Value Lambda Calculus
inferredcites →https://doi.org/10.4230/lipics.itp.2019.18openalex-snapshot
Formal Proof and Analysis of an Incremental Cycle Detection Algorithm
inferredcites →https://doi.org/10.5281/zenodo.1003420openalex-snapshot
The Coq Proof Assistant

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-3-030-52200-1_25openalex-snapshot
Equality Checking for General Type Theories in Andromeda 2
inferred← citeshttps://doi.org/10.1007/978-3-030-68446-4_7openalex-snapshot
slepice: Towards a Verified Implementation of Type Theory in Type Theory
inferred← citeshttps://doi.org/10.1007/978-3-030-75267-5_3openalex-snapshot
On the Conciliation of Traditional and Computer-Assisted Proofs
inferred← citeshttps://doi.org/10.1007/978-3-030-79876-5_6openalex-snapshot
Isabelle’s Metalogic: Formalization and Proof Checker
inferred← citeshttps://doi.org/10.1007/978-3-030-99336-8_8openalex-snapshot
The Trusted Computing Base of the CompCert Verified Compiler
inferred← citeshttps://doi.org/10.1007/978-3-031-29082-4_3openalex-snapshot
Curiously Empty Intersection of Proof Engineering and Computational Sciences
inferred← citeshttps://doi.org/10.1007/978-3-031-65627-9_16openalex-snapshot
End-to-End Mechanized Proof of a JIT-Accelerated eBPF Virtual Machine for IoT
inferred← citeshttps://doi.org/10.1007/978-3-031-75380-0_16openalex-snapshot
SyDPaCC: A Framework for the Development of Verified Scalable Parallel Functional Programs
inferred← citeshttps://doi.org/10.1007/978-3-031-87054-5_12openalex-snapshot
Formally Verified Verifiable Group Generators
inferred← citeshttps://doi.org/10.1007/978-3-032-11176-0_13openalex-snapshot
Lean4Less: Eliminating Definitional Equalities from Lean via an Extensional-to-Intensional Translation
inferred← citeshttps://doi.org/10.1007/978-981-97-8943-6_4openalex-snapshot
Building a Correct-by-Construction Type Checker for a Dependently Typed Core Language
inferred← citeshttps://doi.org/10.1007/s10009-022-00690-yopenalex-snapshot
Verified Propagation Redundancy and Compositional UNSAT Checking in CakeML
inferred← citeshttps://doi.org/10.1007/s10817-022-09648-wopenalex-snapshot
A Formalization and Proof Checker for Isabelle’s Metalogic
inferred← citeshttps://doi.org/10.1007/s10817-024-09705-6openalex-snapshot
Towards a Scalable Proof Engine: A Performant Prototype Rewriting Primitive for Coq
inferred← citeshttps://doi.org/10.1007/s10817-025-09743-8openalex-snapshot
Candle: A Verified Implementation of HOL Light (Extended Version)
inferred← citeshttps://doi.org/10.1007/s10817-026-09753-0openalex-snapshot
The Rewster: Type Preserving Rewrite Rules for the Rocq Prover
inferred← citeshttps://doi.org/10.1017/s0956796822000077openalex-snapshot
Extracting functional programs from Coq, in Coq
inferred← citeshttps://doi.org/10.1017/s0956796822000120openalex-snapshot
Is sized typing for Coq practical?
inferred← citeshttps://doi.org/10.1109/access.2025.3527158openalex-snapshot
Formal Verification of ERC-Based Smart Contracts: A Systematic Literature Review
inferred← citeshttps://doi.org/10.1109/bigdata66926.2025.11401967openalex-snapshot
PACE: Policy Adaptation for Cybersecurity Events Through Formal Verification of LLM-Generated Firewall Policies
inferred← citeshttps://doi.org/10.1109/compsac51774.2021.00176openalex-snapshot
A Framework for the Composition of IoT and CPS Capabilities
inferred← citeshttps://doi.org/10.1109/formalise58978.2023.00021openalex-snapshot
A Verified UAV Flight Plan Generator
inferred← citeshttps://doi.org/10.1142/9789811236488_0008openalex-snapshot
The Braga Method: Extracting Certified Algorithms from Complex Recursive Schemes in Coq
inferred← citeshttps://doi.org/10.1145/3373718.3394792openalex-snapshot
A calculus of expandable stores
inferred← citeshttps://doi.org/10.1145/3429979openalex-snapshot
The Marriage of Univalence and Parametricity
inferred← citeshttps://doi.org/10.1145/3434341openalex-snapshot
The taming of the rew: a type theory with computational assumptions
inferred← citeshttps://doi.org/10.1145/3473591openalex-snapshot
Compositional optimizations for CertiCoq
inferred← citeshttps://doi.org/10.1145/3486609.3487201openalex-snapshot
Extracting the power of dependent types
inferred← citeshttps://doi.org/10.1145/3495528openalex-snapshot
Gradualizing the Calculus of Inductive Constructions
inferred← citeshttps://doi.org/10.1145/3573105.3575685openalex-snapshot
Formalising Decentralised Exchanges in Coq
inferred← citeshttps://doi.org/10.1145/3611643.3616290openalex-snapshot
Engineering a Formally Verified Automated Bug Finder
inferred← citeshttps://doi.org/10.1145/3632912openalex-snapshot
Mechanizing Refinement Types
inferred← citeshttps://doi.org/10.1145/3632916openalex-snapshot
Securing Verified IO Programs Against Unverified Code in F*
inferred← citeshttps://doi.org/10.1145/3656379openalex-snapshot
Verified Extraction from Coq to OCaml
inferred← citeshttps://doi.org/10.1145/3674644openalex-snapshot
Gradual Indexed Inductive Types
inferred← citeshttps://doi.org/10.1145/3674647openalex-snapshot
Dependent Ghosts Have a Reflection for Free
inferred← citeshttps://doi.org/10.1145/3703595.3705879openalex-snapshot
CertiCoq-Wasm: A Verified WebAssembly Backend for CertiCoq
inferred← citeshttps://doi.org/10.1145/3704860openalex-snapshot
A Verified Foreign Function Interface between Coq and C
inferred← citeshttps://doi.org/10.1145/3704912openalex-snapshot
All Your Base Are Belong to Us: Sort Polymorphism for Proof Assistants
inferred← citeshttps://doi.org/10.1145/3706056openalex-snapshot
Correct and Complete Type Checking and Certified Erasure for Coq , in Coq
inferred← citeshttps://doi.org/10.1145/3735452.3735528openalex-snapshot
JetCert: A Self-Adaptive Compilation Framework for Fast and Safe Code Execution
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/10.1145/3747522openalex-snapshot
SecRef*: Securely Sharing Mutable References between Verified and Unverified Code in F*
inferred← citeshttps://doi.org/10.1561/2500000032openalex-snapshot
Refinement Types: A Tutorial
inferred← citeshttps://doi.org/10.29007/413dopenalex-snapshot
A Mechanised Semantics for HOL with Ad-hoc Overloading
inferred← citeshttps://doi.org/10.33842/2313-125x-2023-23-11-20openalex-snapshot
TECHNOLOGIES OF INFERENCE IN SOFTWARE SYSTEMS
inferred← citeshttps://doi.org/10.3390/math8091573openalex-snapshot
Coinductive Natural Semantics for Compiler Verification in Coq
inferred← citeshttps://doi.org/10.4204/eptcs.337.2openalex-snapshot
Touring the MetaCoq Project (Invited Paper)
inferred← citeshttps://doi.org/10.4204/eptcs.372.9openalex-snapshot
Native Type Theory
inferred← citeshttps://doi.org/10.4204/eptcs.402.7openalex-snapshot
Embedding Differential Dynamic Logic in PVS
inferred← citeshttps://doi.org/10.4230/lipics.csl.2021.21openalex-snapshot
Church's thesis and related axioms in Coq's type theory
inferred← citeshttps://doi.org/10.46298/lmcs-18(1:17)2022openalex-snapshot
An extensible equality checking algorithm for dependent type theories
inferred← citeshttps://doi.org/10.48550/arxiv.2006.15135openalex-snapshot
Generating induction principles and subterm relations for inductive types using MetaCoq
inferred← citeshttps://doi.org/10.48550/arxiv.2101.09655openalex-snapshot
Relational Type Theory (All Proofs)
inferred← citeshttps://doi.org/10.48550/arxiv.2102.06513openalex-snapshot
Complete Bidirectional Typing for the Calculus of Inductive Constructions
inferred← citeshttps://doi.org/10.48550/arxiv.2105.10819openalex-snapshot
Choosing is Losing: How to combine the benefits of shallow and deep embeddings through reflection
inferred← citeshttps://doi.org/10.48550/arxiv.2107.07670openalex-snapshot
Touring the MetaCoq Project (Invited Paper)
inferred← citeshttps://doi.org/10.48550/arxiv.2108.10259openalex-snapshot
The Multiverse: Logical Modularity for Proof Assistants
inferred← citeshttps://doi.org/10.70675/0a3f5dbaza45az464dz8686z8c853cf21497openalex-snapshot
Prétraitement compositionnel en Coq
inferred← citeshttps://doi.org/10.70675/95fceee8z06bbz48ccz8b06z87fb9e672ea8openalex-snapshot
Proof-oriented domain-specific language design for high-assurance software
inferred← citeshttps://doi.org/10.70675/9f1bc1e0z9d8az4296z8ee8zdcd60f5ddd06openalex-snapshot
Higher-Order Confluence and Universe Embedding in the Logical Framework
inferred← citeshttps://doi.org/10.70675/a56b1bcez2a44z4e4az8e69zeec71287c91copenalex-snapshot
Toward a Framework for the Composition and Assessment of IoT and CPS Capabilities : Smart Cities Applications
inferred← citeshttps://doi.org/10.70675/f3c96514z4373z4f99z8b3fzb1b41307d558openalex-snapshot
Formalisation et Méta-Théorie de la Théorie des Types
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