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Higher-order abstract syntax in Coq

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

inferredcites →https://doi.org/10.1007/3-540-55602-8_190openalex-snapshot
Implementing the meta-theory of deductive systems
inferredcites →https://doi.org/10.1007/bf00245294openalex-snapshot
Using typed lambda calculus to implement formal systems on a machine
inferredcites →https://doi.org/10.1007/bf00881900openalex-snapshot
Implementing tactics and tacticals in a higher-order logic programming language
inferredcites →https://doi.org/10.1007/bfb0013606openalex-snapshot
A logic programming approach to implementing higher-Order term rewriting
inferredcites →https://doi.org/10.1007/bfb0013612openalex-snapshot
Natural semantics and some of its meta-theory in Elf
inferredcites →https://doi.org/10.1007/bfb0037116openalex-snapshot
Inductive definitions in the system Coq rules and properties
inferredcites →https://doi.org/10.1017/s0960129500001559openalex-snapshot
From operational semantics to abstract machines
inferredcites →https://doi.org/10.1109/lics.1992.185552openalex-snapshot
Compiler verification in LF
inferredcites →https://doi.org/10.1145/138027.138060openalex-snapshot
A framework for defining logics

What points at this work

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

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Structural Cut Elimination
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Nominal Techniques in Isabelle/HOL
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Representing and Reasoning with Operational Semantics
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Multi-level Meta-reasoning with Higher-Order Abstract Syntax
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Recursion for Higher-Order Encodings
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Abstract Syntax for Variable Binders: An Overview
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Higher-Order Abstract Syntax with Induction in Isabelle/HOL: Formalizing the π-Calculus and Mechanizing the Theory of Contexts
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Two-Level Meta-reasoning in Coq
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A Kripke-Style Model for the Admissibility of Structural Rules
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Formalizing a Lazy Substitution Proof System for π-Calculus in the Calculus of Inductive Constructions
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The practice of logical frameworks
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Primitive recursion for higher-order abstract syntax
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Shallow Embedding of Type Theory is Morally Correct
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Certified Semantics for Relational Programming
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Rensets and Renaming-Based Recursion for Syntax with Bindings
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A Formalized General Theory of Syntax with Bindings
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Induction and Co-induction in Sequent Calculus
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A Dependent Type Theory with Names and Binding
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Chapter 4. Basic Category Theory for Models of Syntax
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Combining de Bruijn Indices and Higher-Order Abstract Syntax in Coq
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Nominal Renaming Sets
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Syntax for Free: Representing Syntax with Binding Using Parametricity
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Variable Binding, Symmetric Monoidal Closed Theories, and Bigraphs
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GMeta: A Generic Formal Metatheory Framework for First-Order Representations
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Generic Reasoning of the Locally Nameless Representation
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Formalization of Lambda Calculus with Explicit Names as a Nominal Reasoning Framework
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Free variables and subexpressions in higher-order meta logic
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Semantical BNF
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Formalising a Value-Passing Calculus in HOL
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Reasoning about Object-based Calculi in (Co)Inductive Type Theory and the Theory of Contexts
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Nominal Techniques in Isabelle/HOL
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Hybrid
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A Two-Level Logic Approach to Reasoning About Computations
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Mechanized Metatheory Revisited
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A Formalized General Theory of Syntax with Bindings: Extended Version
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Formalization of Metatheory of the Quipper Quantum Programming Language in a Linear Logic
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HO$$\pi $$ in Coq
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Rensets and Renaming-Based Recursion for Syntax with Bindings Extended Version
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An initial algebra approach to term rewriting systems with variable binders
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Logical Frameworks
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Plug and Play the Theory of Contexts in Higher-Order Abstract Syntax
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A Logic for Reasoning about Generic Judgments
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A Coq Library for Verification of Concurrent Programs
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Canonical HybridLF: Extending Hybrid with Dependent Types
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Mechanizing Focused Linear Logic in Coq
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Mechanizing type environments in weak HOAS
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π-calculus in (Co)inductive-type theory
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Primitive recursion for higher-order abstract syntax
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The Theory of Contexts for First Order and Higher Order Abstract Syntax
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A Hybrid Encoding of Howe's Method for Establishing Congruence of Bisimilarity
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Consistency of the theory of contexts
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Boxes go bananas: Encoding higher-order abstract syntax with parametric polymorphism
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Recursion over objects of functional type
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Focusing on Binding and Computation
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Toward a general theory of names
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Combining higher-order abstract syntax with first-order abstract syntax in ATS
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SIGACT news logic column 14
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SIGACT news logic column 15
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Towards a mechanized metatheory of standard ML
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Engineering formal metatheory
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Focusing and higher-order abstract syntax
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Focusing and higher-order abstract syntax
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Nominal logic programming
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Higher-order abstract syntax in classical higher-order logic
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Theory support for weak higher order abstract syntax in Isabelle/HOL
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A universe of binding and computation
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A universe of binding and computation
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A hierarchy of mendler style recursion combinators
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Recursion principles for syntax with bindings and substitution
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A hierarchy of mendler style recursion combinators
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Functional programming with structured graphs
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25 years of formal proof cultures
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Internal Adequacy of Bookkeeping in Coq
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Triangulating context lemmas
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Bindings as bounded natural functors
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Mechanizing Session-Types using a Structural View: Enforcing Linearity without Linearity
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Nominal Recursors as Epi-Recursors
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A Mechanized Formalization of an FRP Language with Effects
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Effects with Variable Binding
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Reasoning with higher-order abstract syntax in a logical framework
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Term rewriting with variable binding
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A Monadic Formalization of ML5
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Hybrid: A Definitional Two-Level Approach to Reasoning with Higher-Order Abstract Syntax
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Induction and Co-induction in Sequent Calculus
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A two-level logic approach to reasoning about computations
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A Higher-Order Abstract Syntax Approach to the Verified Compilation of Functional Programs
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Case Studies in Formal Reasoning About Lambda-Calculus: Semantics, Church-Rosser, Standardization and HOAS
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Logic Column 14: Nominal Logic and Abstract Syntax
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The Cresson Types Of Hymenoptera.
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The Polar Edge Coherence: A Quasi Blind Metric For Video Quality Assessment
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LF+ in Coq for "fast and loose" reasoning
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Theoretical and implementation aspects in the mechanization of the metatheory of programming languages
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A logical study of program equivalence
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Applications of Foundational Proof Certificates in theorem proving
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Computing with relations, functions, and bindings
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Reflection and its application to mechanized metareasoning about programming languages
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