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The taming of the rew: a type theory with computational assumptions

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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.1995.1057openalex-snapshot
Parallel Reductions in λ-Calculus
inferredcites →https://doi.org/10.1007/11814771_50openalex-snapshot
Consistency and Completeness of Rewriting in the Calculus of Constructions
inferredcites →https://doi.org/10.1007/3-540-61254-8_26openalex-snapshot
Development closed critical pairs
inferredcites →https://doi.org/10.1007/978-3-319-89884-1_9openalex-snapshot
Failure is Not an Option
inferredcites →https://doi.org/10.1007/978-3-540-73147-4_6openalex-snapshot
Towards Rewriting in Coq
inferredcites →https://doi.org/10.1007/978-3-540-73228-0_9openalex-snapshot
Embedding Pure Type Systems in the Lambda-Pi-Calculus Modulo
inferredcites →https://doi.org/10.1007/978-3-540-87531-4_1openalex-snapshot
The Computability Path Ordering: The End of a Quest
inferredcites →https://doi.org/10.1007/978-3-642-15205-4_40openalex-snapshot
Coq Modulo Theory
inferredcites →https://doi.org/10.1007/978-3-642-21691-6_5openalex-snapshot
Higher-Order Dynamic Pattern Unification for Dependent Types and Records
inferredcites →https://doi.org/10.1007/s10817-019-09540-0openalex-snapshot
The MetaCoq Project
inferredcites →https://doi.org/10.1016/0304-3975(92)00023-kopenalex-snapshot
Confluence by decreasing diagrams
inferredcites →https://doi.org/10.1016/b978-0-444-87508-2.50001-0openalex-snapshot
Studies in 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/s0956796802004641openalex-snapshot
Termination of rewriting in the Calculus of Constructions
inferredcites →https://doi.org/10.1017/s0956796818000072openalex-snapshot
Size-based termination of higher-order rewriting
inferredcites →https://doi.org/10.1017/s095679689700289xopenalex-snapshot
Modularity of strong normalization in the algebraic-λ-cube
inferredcites →https://doi.org/10.1017/s0960129504004426openalex-snapshot
Definitions by rewriting in the Calculus of Constructions
inferredcites →https://doi.org/10.1109/lics.1988.5103openalex-snapshot
Combining algebra and higher-order types
inferredcites →https://doi.org/10.1109/lics.1991.151659openalex-snapshot
A computation model for executable higher-order algebraic specification languages
inferredcites →https://doi.org/10.1109/lics.1999.782635openalex-snapshot
The higher-order recursive path ordering
inferredcites →https://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
inferredcites →https://doi.org/10.1145/3158111openalex-snapshot
Decidability of conversion for type theory in type theory
inferredcites →https://doi.org/10.1145/3341712openalex-snapshot
A reasonably exceptional type theory
inferredcites →https://doi.org/10.1145/3371076openalex-snapshot
Coq Coq correct! verification of type checking and erasure for Coq, in Coq
inferredcites →https://doi.org/10.1145/360204.360210openalex-snapshot
The size-change principle for program termination
inferredcites →https://doi.org/10.3233/fun-2005-681-201openalex-snapshot
Eliminating Introns in Ant Colony Programming
inferredcites →https://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
inferredcites →https://doi.org/10.4204/eptcs.186.8openalex-snapshot
Translating HOL to Dedukti
inferredcites →https://doi.org/10.4230/lipics.fscd.2020.13openalex-snapshot
Type Safety of Rewrite Rules in Dependent Types
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.rta.2010.17openalex-snapshot
Higher-Order (Non-)Modularity
inferredcites →https://doi.org/10.4230/lipics.rta.2013.174openalex-snapshot
Proof Orders for Decreasing Diagrams
inferredcites →https://doi.org/10.4230/lipics.tlca.2015.257openalex-snapshot
Termination of Dependently Typed Rewrite Rules
inferredcites →https://doi.org/10.4230/lipics.types.2018.1openalex-snapshot
Martin Hofmann’s Case for Non-Strictly Positive Data Types
inferredcites →https://doi.org/10.48550/arxiv.1304.0809openalex-snapshot
New Equations for Neutral Terms: A Sound and Complete Decision Procedure, Formalized

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-3-031-30044-8_5openalex-snapshot
Builtin Types Viewed as Inductive Families
inferred← citeshttps://doi.org/10.1007/978-3-031-34518-0_11openalex-snapshot
Confluence of Terminating Rewriting Computations
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_13openalex-snapshot
Definitional Functoriality for Dependent (Sub)Types
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/s0960129526100516openalex-snapshot
A dependently-typed calculus of event telicity and culminativity
inferred← citeshttps://doi.org/10.1109/lics52264.2021.9470541openalex-snapshot
Types Are Internal ∞-Groupoids
inferred← citeshttps://doi.org/10.1145/3479394.3479403openalex-snapshot
Confluence in Non-Left-Linear Untyped Higher-Order Rewrite Theories
inferred← citeshttps://doi.org/10.1145/3498693openalex-snapshot
Observational equality: now for good
inferred← citeshttps://doi.org/10.1145/3674647openalex-snapshot
Dependent Ghosts Have a Reflection for Free
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/10.1145/3747535openalex-snapshot
Type Theory in Type Theory using a Strictified Syntax
inferred← citeshttps://doi.org/10.1145/3763068openalex-snapshot
Incremental Certified Programming
inferred← citeshttps://doi.org/10.1145/3776685openalex-snapshot
Canonicity for Indexed Inductive-Recursive Types
inferred← citeshttps://doi.org/10.4204/eptcs.360.5openalex-snapshot
Sikkel: Multimode Simple Type Theory as an Agda Library
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.2102.06513openalex-snapshot
Complete Bidirectional Typing for the Calculus of Inductive Constructions
inferred← citeshttps://doi.org/10.48550/arxiv.2105.00024openalex-snapshot
Types are Internal $\infty$-Groupoids
inferred← citeshttps://doi.org/10.48550/arxiv.2108.10259openalex-snapshot
The Multiverse: Logical Modularity for Proof Assistants
inferred← citeshttps://doi.org/10.70675/9f1bc1e0z9d8az4296z8ee8zdcd60f5ddd06openalex-snapshot
Higher-Order Confluence and Universe Embedding in the Logical Framework
inferred← citeshttps://doi.org/10.70675/c1efe9f4z1500z4e67zaad4zcb5531cce150openalex-snapshot
Continuité en théorie des types
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