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An abstract approach to coherence

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What this work says

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

inferredcites →https://doi.org/10.1007/978-1-4615-7831-4_19openalex-snapshot
Natural Associativity and Commutativity
inferredcites →https://doi.org/10.1007/978-3-642-99902-4_22openalex-snapshot
Closed Categories
inferredcites →https://doi.org/10.1007/bf01201353openalex-snapshot
Untersuchungen �ber das logische Schlie�en. I
inferredcites →https://doi.org/10.1007/bf01452242openalex-snapshot
Functors between tensored categories
inferredcites →https://doi.org/10.1007/bf01703261openalex-snapshot
Deductive systems and categories
inferredcites →https://doi.org/10.1007/bf01898420openalex-snapshot
Coherence of adjoints, associativities, and identities
inferredcites →https://doi.org/10.1007/bfb0059554openalex-snapshot
Closed coherence for a natural transformation
inferredcites →https://doi.org/10.1007/bfb0059556openalex-snapshot
Many-variable functorial calculus. I.
inferredcites →https://doi.org/10.1007/bfb0059558openalex-snapshot
Coherence for a closed functor
inferredcites →https://doi.org/10.1007/bfb0079385openalex-snapshot
Deductive systems and categories II. Standard constructions and closed categories
inferredcites →https://doi.org/10.1007/bfb0083085openalex-snapshot
Ordinal sums and equational doctrines
inferredcites →https://doi.org/10.1016/0021-8693(66)90006-8openalex-snapshot
A generalization of the functorial calculus
inferredcites →https://doi.org/10.1016/0022-4049(71)90013-2openalex-snapshot
Coherence in closed categories

What points at this work

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

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The Maximality of Cartesian Categories
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Parenthetic Remarks
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Categories
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Closed categories and the theory of proofs
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Proof nets and coherence theorems
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Closed coherence for a natural transformation
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Many-variable functorial calculus. I.
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Coherence for a closed functor
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A cut-elimination theorem
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On clubs and doctrines
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Coherence theorems for lax algebras and for distributive laws
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First quadrant spectral sequences in algebraic K-theory
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Symmetric Bimonoidal Intermuting Categories and ω × ω Reduced Bar Constructions
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Coends of Higher Arity
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Generalized Multicategories: Change-of-Base, Embedding, and Descent
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Invertibility and Parity in Symmetric Monoidal Categories
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Pseudo-distributive laws and axiomatics for variable binding
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The geometry of tensor calculus, I
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Coherence for compact closed categories
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Examples of non-monadic structures on categories
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A universal property of the convolution monoidal structure
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A general coherence result
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Two-dimensional monad theory
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Languages for monoidal categories
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Tortile tensor categories
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Enriched Tannaka reconstruction
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Linear logic, coherence and dinaturality
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Triangulations, orientals, and skew monoidal categories
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Abstract Syntax: Substitution and Binders
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Composing dinatural transformations: Towards a calculus of substitution
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Obstructions to coherence: natural noncoherent associativity
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Multiplicative Linear Logics and Fibrations
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Hopf algebras and linear logic
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REPRESENTING CONJUNCTIVE DEDUCTIONS BY DISJUNCTIVE DEDUCTIONS
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Coherent Homotopical Algebras: “Special Gamma-Categories”
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Coherence in Substructural Categories
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Bicartesian Coherence
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Coherence in categorical groups∗
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First quadrant spectral sequences in algebraic k-theory via homotopy colimits
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Indexed Lawvere theories for local state
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Coherence in Nonmonoidal Closed Categories
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Abstract syntax and variable binding
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A categorical semantics of quantum protocols
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Quantum information-flow, concretely, and axiomatically
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A unified category-theoretic formulation of typed binding signatures
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A unified category theoretic approach to variable binding
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Cartesian isomorphisms are symmetric monoidal: A justification of linear logic
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Coherence for rewriting 2-theories : general theorems with applications to presentations of Higman-Thompson groups and iterated monoidal categories
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Clones from comonoids
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Rewriting techniques for relative coherence
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Coherence without unique normal forms
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Coherent presentations of structure monoids and the Higman-Thompson groups
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Symmetric bimonoidal intermuting categories and $ω\timesω$ reduced bar constructions
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Abstract Scalars, Loops, and Free Traced and Strongly Compact Closed Categories
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Coherence for Categorified Operadic Theories
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Operads, tensor products, and the categorical Borel construction
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Structure and Semantics
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Types for Quantum Computing
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Familial 2-functors and parametric right adjoints
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Wood fusion and Thiébaud algebraicity
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A unified framework for generalized multicategories
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Generic morphisms, parametric representationsand weakly cartesian monads
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Symmetric monoidal categories model all connective spectra
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