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MiniAgda: Integrating Sized and Dependent Types

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What this work says

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

inferredcites →https://doi.org/10.1007/11538363_11openalex-snapshot
Decidability of Type-Checking in the Calculus of Algebraic Constructions with Size Annotations
inferredcites →https://doi.org/10.1007/11874683_5openalex-snapshot
Semi-continuous Sized Types and Termination
inferredcites →https://doi.org/10.1007/11916277_18openalex-snapshot
CIC $\widehat{~}$ : Type-Based Termination of Recursive Definitions in the Calculus of Inductive Constructions
inferredcites →https://doi.org/10.1007/3-540-58085-9_72openalex-snapshot
Infinite objects in type theory
inferredcites →https://doi.org/10.1007/3-540-60579-7_3openalex-snapshot
Codifying guarded definitions with recursive schemes
inferredcites →https://doi.org/10.1007/978-3-540-24849-1_8openalex-snapshot
Inductive Families Need Not Store Their Indices
inferredcites →https://doi.org/10.1007/978-3-540-25979-4_2openalex-snapshot
A Type-Based Termination Criterion for Dependently-Typed Higher-Order Rewrite Systems
inferredcites →https://doi.org/10.1007/978-3-540-78499-9openalex-snapshot
Foundations of Software Science and Computational Structures
inferredcites →https://doi.org/10.1007/978-3-540-78499-9_25openalex-snapshot
Erasure and Polymorphism in Pure Type Systems
inferredcites →https://doi.org/10.1007/978-3-540-78499-9_26openalex-snapshot
The Implicit Calculus of Constructions as a Programming Language with Dependent Types
inferredcites →https://doi.org/10.1007/978-3-642-02444-3_14openalex-snapshot
Using Structural Recursion for Corecursion
inferredcites →https://doi.org/10.1016/j.scico.2008.01.004openalex-snapshot
Type-based termination of generic programs
inferredcites →https://doi.org/10.1017/s0956796801004191openalex-snapshot
A predicative analysis of structural recursion
inferredcites →https://doi.org/10.1017/s0956796803004829openalex-snapshot
The view from the left
inferredcites →https://doi.org/10.1017/s0960129503004122openalex-snapshot
Type-based termination of recursive definitions
inferredcites →https://doi.org/10.1023/a:1019916231463openalex-snapshot
Dependent Types for Program Termination Verification
inferredcites →https://doi.org/10.1109/lics.2001.932500openalex-snapshot
Dependent types for program termination verification
inferredcites →https://doi.org/10.1145/237721.240882openalex-snapshot
Proving the correctness of reactive systems using sized types
inferredcites →https://doi.org/10.1145/360204.360210openalex-snapshot
The size-change principle for program termination
inferredcites →https://doi.org/10.15760/etd.2669openalex-snapshot
Irrelevance, Polymorphism, and Erasure in Type Theory
inferredcites →https://doi.org/10.2168/lmcs-4(2:3)2008openalex-snapshot
Semi-continuous Sized Types and Termination
inferredcites →https://doi.org/10.4204/eptcs.43.3openalex-snapshot
Beating the Productivity Checker Using Embedded Languages

What points at this work

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

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Deep Induction: Induction Rules for (Truly) Nested Types
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Co-induction Simply
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Linear Sized Types in the Calculus of Constructions
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Friends with Benefits
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2-Dimensional Directed Type Theory
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Flag-based big-step semantics
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Well-founded recursion with copatterns and sized types
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Interactive programming in Agda – Objects and graphical user interfaces
inferred← citeshttps://doi.org/10.1017/s0956796818000072openalex-snapshot
Size-based termination of higher-order rewriting
inferred← citeshttps://doi.org/10.1017/s0956796819000170openalex-snapshot
POPLMark reloaded: Mechanizing proofs by logical relations
inferred← citeshttps://doi.org/10.1017/s0956796820000076openalex-snapshot
A type- and scope-safe universe of syntaxes with binding: their semantics and proofs
inferred← citeshttps://doi.org/10.1017/s0956796822000120openalex-snapshot
Is sized typing for Coq practical?
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Monotone recursive types and recursive data representations in Cedille
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A typed store-passing translation for general references
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Proving the unique fixed-point principle correct
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Proving the unique fixed-point principle correct
inferred← citeshttps://doi.org/10.1145/2364527.2364546openalex-snapshot
Operational semantics using the partiality monad
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Generic datatypes à la carte
inferred← citeshttps://doi.org/10.1145/2543581.2543588openalex-snapshot
Synchronous digital circuits as functional programs
inferred← citeshttps://doi.org/10.1145/2544174.2500591openalex-snapshot
Wellfounded recursion with copatterns
inferred← citeshttps://doi.org/10.1145/2784731.2784732openalex-snapshot
Foundational extensible corecursion: a proof assistant perspective
inferred← citeshttps://doi.org/10.1145/2858949.2784732openalex-snapshot
Foundational extensible corecursion: a proof assistant perspective
inferred← citeshttps://doi.org/10.1145/2951913.2951917openalex-snapshot
Unifiers as equivalences: proof-relevant unification of dependently typed data
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A type and scope safe universe of syntaxes with binding: their semantics and proofs
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Polymorphic Iterable Sequential Effect Systems
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Coinduction inductively: mechanizing coinductive proofs in Liquid Haskell
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Citrus: Algebraic Reasoning about Superconductor Electronics
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2-Dimensional Directed Dependent Type Theory
inferred← citeshttps://doi.org/10.25911/5d78d9f7865dbopenalex-snapshot
Arrows for knowledge-based circuits
inferred← citeshttps://doi.org/10.26226/morressier.604907f51a80aac83ca25d6bopenalex-snapshot
Deep Induction: Induction Rules for (Truly) Nested Types
inferred← citeshttps://doi.org/10.4204/eptcs.76.6openalex-snapshot
A Formal Comparison of Approaches to Datatype-Generic Programming
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Type-Based Termination, Inflationary Fixed-Points, and Mixed Inductive-Coinductive Types
inferred← citeshttps://doi.org/10.4230/lipics.icalp.2021.125openalex-snapshot
Flexible Coinduction in Agda
inferred← citeshttps://doi.org/10.46298/lmcs-21(3:20)2025openalex-snapshot
The Size-Change Principle for Mixed Inductive and Coinductive types
inferred← citeshttps://doi.org/10.48550/arxiv.1501.04354openalex-snapshot
Coinduction: an elementary approach
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Course-of-Value Induction in Cedille
inferred← citeshttps://doi.org/10.48550/arxiv.1903.08233openalex-snapshot
Elaborating Inductive Definitions and Course-of-Values Induction in Cedille
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Coinductive Invertibility in Higher Categories
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