The Theory of Classification
The Journal of Object Technologies (JOT) has been publishing a wonderful series of articles by Anthony J.H. Simons on "The Theory of Classification" (a sort of primer on object-oriented type theory). Since the site of the journal does not have a page with the complete list of the links to the articles, I will provide one below:
- Perspectives on Type Compatibility
- The Scratch-Built Typechecker
- Object Encodings and Recursion
- Object Types and Subtyping
- Axioms, Assertions and Subtyping
- The Subtyping Inquisition
- A Class is a Type Family
- Classification and Inheritance
- Inheritance and Self-Reference
- Method Combination and Super-Reference
- Adding Class Types to Object Implementations
- Building the Class Hierarchy
- Template Classes and Genericity
- Modification and Objects like Myself
- Mixins and the Superclass Interface
- Rules of Extension and the Typing of Inheritance





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