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Deductive systems and categories III. Cartesian closed categories, intuitionist propositional calculus, and combinatory logic

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What this work says

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

inferredcites →https://doi.org/10.1007/978-3-642-99902-4_22openalex-snapshot
Closed Categories
inferredcites →https://doi.org/10.1007/bf01703261openalex-snapshot
Deductive systems and categories
inferredcites →https://doi.org/10.1007/bfb0079385openalex-snapshot
Deductive systems and categories II. Standard constructions and closed categories
inferredcites →https://doi.org/10.1007/bfb0080769openalex-snapshot
Diagonal arguments and cartesian closed categories
inferredcites →https://doi.org/10.1111/j.1746-8361.1969.tb01194.xopenalex-snapshot
Adjointness in Foundations
inferredcites →https://doi.org/10.2307/2020805openalex-snapshot
The Elements of Mathematical Logic.
inferredcites →https://doi.org/10.2307/2182926openalex-snapshot
The Elements of Mathematical Logic.

What points at this work

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

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HYPERDOCTRINES, NATURAL DEDUCTION AND THE BECK CONDITION
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Struktursätze der Algebra und Kompliziertheit logischer Schemata. III Algebraische Theorien und Verallgemeinerungen
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On the definition of lambda-calculus models
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Domain algebras
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A category of many-sorted algebraic theories which is equivalent to the category of categories with finite products
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Structural Rules and a Logical Hierarchy
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Retracing Some Paths in Categorical Semantics: From Process-Propositions-as-Types to Categorified Reals and Computers
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Drawing Types and Functions
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Axiomatic Method and Category Theory
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Introduction
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New Axiomatic Method (Instead of Conclusion)
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Euclid: Doing and Showing
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Hilbert: Making It Formal
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Formal Axiomatic Method and the Twentieth Century Mathematics
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Lawvere: Pursuit of Objectivity
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Identity in Classical and Constructive Mathematics
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Identity Through Change, Category Theory and Homotopy Theory
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How Mathematical Concepts Get Their Bodies
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Categories Versus Structures
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Proof Identity for Classical Logic: Generalizing to Normality
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Formal-Language-Oriented Foundation of Dynamics of Human Crowds Using Topos-Theory
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Combinatory Logic, Language, and Cognitive Representations
inferred← citeshttps://doi.org/10.1007/bf01084396openalex-snapshot
The category of finite sets and Cartesian closed categories
inferred← citeshttps://doi.org/10.1007/bf01084981openalex-snapshot
Categories
inferred← citeshttps://doi.org/10.1007/bf01404107openalex-snapshot
Closed categories and the theory of proofs
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From petri nets to linear logic
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Using domain algebras to prove the correctness of a compiler
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Logical categories, semantical categories and topoi
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An Overview of Type Theories
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Categorical interpretation of logical derivations and its applications in algebra
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How Mathematical Concepts Get Their Bodies
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The History of Categorical Logic: 1963–1977
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Coherence in smccs and equivalences on derivations in imll with unit
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Monoidal indeterminates and categories of possible worlds
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Bibliography
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Lambda-Calculus and Combinators in the 20th Century
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From Petri nets to linear logic
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Introduction to linear bicategories
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REPRESENTING CONJUNCTIVE DEDUCTIONS BY DISJUNCTIVE DEDUCTIONS
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Beyond the Chu-construction
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Editorial Introduction
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Bicartesian Coherence
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The MacLane Problem on the Set-Theoretic Foundation for Category Theory. II
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A Local Two-Sorted Theory of Classes and Sets: MacLane's Problem and Mostowski's Program
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Polycategories
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The Deduction Theorem (Before and After Herbrand)
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Coherence in Nonmonoidal Closed Categories
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Towards a uniform presentation of logical systems by indexed categories and adjoint situations
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A substructural logic for layered graphs
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Algebraic characterization of self-orientation systems
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FACETS OF INTENSIONALITY
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Identity of Proofs Based on Normalization and Generality
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Generality of proofs and its Brauerian representation
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Lambek's categorical proof theory and Läuchli's abstract realizability
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Deductive Completeness
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Des catégories à la catégorisation
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Proceedings Fifteenth Workshop on Logical Frameworks and Meta-Languages: Theory and Practice
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Deductive Systems and Coherence for Skew Prounital Closed Categories
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Abstraction and Application in Adjunction
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Abstract logical structuralism
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