[PDF] Top 20 The theory of classification part 7: a class is a type family
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The theory of classification part 7: a class is a type family
... of class, using Cook's F-bounded quantification to express the idea that a class is a family of types that share a minimum common ...programmer's class corresponds to a simple ...of ... See full document
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The theory of classification part 1: perspectives on type compatibility
... SmallInt type providing its own version of the plus function which wraps the result back into the SmallInt ...simple type systems are more complex than they may at first ... See full document
8
The theory of classification part 15: mixins and the superclass interface
... another class using the inheritance ...any class. Other mixins expect the class with which they are combined to provide certain operations, because the mixin’s own methods depend on ...of ... See full document
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The theory of classification part 6: the subtyping inquisition
... a type, corresponding to their class identifier. This type is used implicitly during method lookup to select from method dispatch ...tables. Type checking is dynamic, in the sense that ... See full document
11
The theory of classification: part 14: modification and objects like myself
... This is the fourteenth article in a regular series on object-oriented theory for non- specialists. Previous articles have built up models of objects [1], types [2] and classes [3] in the λ-calculus. Inheritance ... See full document
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The theory of classification part 8: classification and inheritance
... a family of related types, and sometimes in an opportunistic way, to extend implementations ...have class and type independently [7, 8], asserting that an inheritance hierarchy was merely a ... See full document
11
The theory of classification part 3: object encodings and recursion
... Existential encoding models the hiding of state, rather like the use of private declarations in C++ and Java. It can be used to model packages, whose contents are only revealed within certain scopes [7]. The other ... See full document
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The theory of classification part 12: building the class hierarchy
... and type-level in each ...the type- and object- levels, and prove that fixpoint operations converged at infinity, provided that objects were records of ... See full document
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The theory of classification part 16: rules of extension and the typing of inheritance
... object-oriented type theory for non- ...[5]. Classification describes the way in which typed objects fit into a hierarchy of classes, which nest inside each other ...another class, specifying ... See full document
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The theory of classification part 18: polymorphism through the looking glass
... So, type checkers that performed parametric substitutions would not also have to perform subtyping ...and class-based polymorphism, since both would be handled using the same underlying F-bounded parametric ... See full document
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The theory of classification part 5: axioms, assertions and subtyping
... object type which adds to the methods of another object type is a ...object type may sometimes replace methods, so we must consider under what conditions this results in a ... See full document
10
The theory of classification part 9: inheritance and self-reference
... Several articles ago, we considered three different formal encodings of simple objects [5]. We preferred the λ-calculus encoding, which represents recursive objects as functional closures, denoting simple records of ... See full document
11
The theory of classification part 2: the scratch-built typechecker
... This is the second article in a regular series on object-oriented type theory, aimed specifically at non-theoreticians. Eventually, we aim to explain the behaviour of languages such as Smalltalk, C++, ... See full document
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The theory of classification part 13: template classes and genericity
... the Theory of ...generic type is modelled as a type function expecting an actual type ...generic class is modelled by first creating a special type function, called a type ... See full document
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The theory of classification part 4: object types and subtyping
... For a substitute object y : Y to behave exactly like the original object x : X, then every method of X must have a corresponding method in Y that behaves like the original method of X. If we are only interested in ... See full document
10
The theory of classification - part 10: method combination and super-reference
... one class is judged to be a subclass of another, according to type rules governing subclassing ...new class in relation to an existing class 1 , specifying what is new or different, and ... See full document
12
The theory of classification part 20: modular checking of classtypes
... of type parameters and the many substitution operations that must be performed on ...flexible type compatibility relationships between ...building type-safe experimental object- oriented languages in ... See full document
13
The theory of classification part 11: adding class types to object implementations
... the type and implementation aspects together, since this is how type rules are properly presented ...a type rule, the aim is to be able to derive the resulting type of some expression, given ... See full document
14
The theory of classification part 19: the proliferation of parameters
... polymorphic class-types were written using explicit type parameters: p:P, where #Point[P] introduced the parameter and expressed the F-bound constraint that P is in the class of ...of type ... See full document
13
The mathematical research of William Parry FRS
... The work of Don Ornstein led Bill Parry and others to ask about more effective classifications (by maps that would be constructible in finite time, or by conditions that could be checked via an algorithm) for Markov ... See full document
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