[PDF] Top 20 The theory of classification part 2: the scratch-built typechecker

... Rather like scratch-building a model sailing ship out of matchsticks, all mathematical model-building approaches start from first principles. To help get off the ground, most make some basic assumptions about the ... See full document

... the Theory of Classification in ...all built-in and programmer-defined types and support obvious, intuitive notions of classification, for example, that the simple types Integer and Boolean ... See full document

... Using this encoding, objects can be modelled directly as functions. This may sound strange, but recall how a record is really a finite set of label-to-value mappings, while a function is a general set of value-to-value ... See full document

... type theory, aimed specifically at non-theoreticians. So far, we have built up a model of objects as simple records, which are instances of corresponding record types ... See full document

... It is tempting to think that the object-oriented family of languages was the first to generalise the notion of type. This is incorrect, although it is fair to say that the object- oriented family is the only group of ... See full document

... Due to the simplicity of the method, a large number of clusters were categorized using the 14n rule. These results are given in Table 7, The table includes some of the clusters which have been categorized on the basis of ... See full document

... Most object-oriented languages don’t encourage the specification of mixins in isolation, but instead, records of extra fields are typically declared within the scope of a complete subclass definition (like the example in ... See full document

... Mathematicians have been experimenting with notions of abstract types and classification since the early part of the 20th century. Much of this work falls within the remit of formal algebra and category ... See full document

... Taxonomic classification in biology also follows this pattern: a mammal is defined as something with (at least) warm blood and hair that bears and suckles live ... See full document

... This is the ninth article in a regular series on object-oriented type theory, aimed specifically at non-theoreticians. The previous article demonstrated how the intuitive notion of class in object-oriented ... See full document

... Concrete approaches have their limits [10], for example, how would you specify an Ordinal type? You merely want to describe something that is countable, whose elements are ordered, but not assert that any particular set ... See full document

... This is the twelfth article in a regular series on object-oriented type theory for non- specialists. Readers following the series will by now have gained some experience in theoretical models and their uses. ... See full document

... type theory for non- specialists. Earlier articles have built up λ-calculus models of objects [1], classes [2], inheritance [3, 4] and generic template types ...[5]. Classification describes ... See full document

... object-oriented theory for non- specialists. Previous articles have built up models of objects [1], types [2] and classes [3] in the ...the Theory of Classification [7], using various ... See full document

... type theory, aimed specifically at ...of classification that differs from the conventional model of types and subtyping [1, ...the theory, we have been careful to distinguish classification ... See full document

... type theory, we look at how object-oriented languages might evolve in the future, given that the formal notion of class is now better understood than at the ...the Theory of Classification, showing ... See full document

... In the following, we refer to objects and object types. Objects are modelled in the calculus as simple records, whose fields consist of labels which map to values [2, 3]. The values can be of any kind, for ... See full document

... Thus we can design a situation: in order to increase the effectiveness of the branch it is necessary to perform its modernisation, and its low effectiveness contradicts the implementation of its innovative modernisation. ... See full document

... q ik - the constants, which in (1) are equated to the coefficients of the interdiffusion . Their solutions are necessary, as an example, for examining the processes of mass transfer in the concentrated electrolytes. ... See full document

... field theory description of hadronic data requires an extension of CHPT towards higher energies, which mainly requires to include spin 1 resonances ρ, ω, φ, · · · in accord with the symmetries of ... See full document