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Verification of the interface of a small proof system 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/10.1007/3-540-09724-4openalex-snapshot
Edinburgh LCF
inferredcites →https://doi.org/10.1007/3-540-58085-9_82openalex-snapshot
Closure under alpha-conversion
inferredcites →https://doi.org/10.1007/3-540-62688-3_32openalex-snapshot
A module calculus for pure type systems
inferredcites →https://doi.org/10.1007/bfb0014048openalex-snapshot
Extracting text from proofs
inferredcites →https://doi.org/10.1007/bfb0014065openalex-snapshot
A verified typechecker
inferredcites →https://doi.org/10.1016/0890-5401(88)90005-3openalex-snapshot
The calculus of constructions
inferredcites →https://doi.org/10.1016/1385-7258(72)90034-0openalex-snapshot
Lambda calculus notation with nameless dummies, a tool for automatic formula manipulation, with application to the Church-Rosser theorem
inferredcites →https://doi.org/10.1016/s0747-7171(06)80007-6openalex-snapshot
Synthesis of ML programs in the system Coq
inferredcites →https://doi.org/10.1017/cbo9781139032636openalex-snapshot
Lambda Calculus with Types
inferredcites →https://doi.org/10.1017/s0956796800020037openalex-snapshot
Modular proof of strong normalization for the calculus of constructions
inferredcites →https://doi.org/10.1142/7637openalex-snapshot
Information and Computation
inferredcites →https://doi.org/10.1142/9789814368452_0004openalex-snapshot
The Constructive Engine
inferredcites →https://doi.org/10.1145/199448.199476openalex-snapshot
Applicative functors and fully transparent higher-order modules

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-3-319-00966-7_1openalex-snapshot
Foundations of Mathematics from the Perspective of Computer Verification
inferred← citeshttps://doi.org/10.1007/s10817-011-9230-5openalex-snapshot
A Solution to the PoplMark Challenge Based on de Bruijn Indices
inferred← citeshttps://doi.org/10.1007/s10817-022-09648-wopenalex-snapshot
A Formalization and Proof Checker for Isabelle’s Metalogic
inferred← citeshttps://doi.org/10.1016/j.entcs.2009.09.005openalex-snapshot
Convincing Proofs for Program Certification
inferred← citeshttps://doi.org/10.1017/cbo9781107338579.008openalex-snapshot
Mathematics in the age of the Turing machine
inferred← citeshttps://doi.org/10.1017/s0956796815000210openalex-snapshot
Pure type systems with explicit substitutions
inferred← citeshttps://doi.org/10.1098/rsta.2005.1650openalex-snapshot
The challenge of computer mathematics
inferred← citeshttps://doi.org/10.1109/lics.2011.37openalex-snapshot
CoQMTU: A Higher-Order Type Theory with a Predicative Hierarchy of Universes Parametrized by a Decidable First-Order Theory
inferred← citeshttps://doi.org/10.1145/2220336.2220346openalex-snapshot
Generating Invariant-Based Certificates for Embedded Systems
inferred← citeshttps://doi.org/10.4204/eptcs.449.15openalex-snapshot
A Machine-checked Proof of Consistency for Impredicative Pure Type Systems
inferred← citeshttps://doi.org/10.70675/a0401fc4z9e58z488ez84bezd17c69085acbopenalex-snapshot
Interoperability between proof systems using the logical framework Dedukti
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