Titlebook: Higher-Order Computability; John Longley,Dag Normann Book 2015 Springer-Verlag Berlin Heidelberg 2015 Computability Models.Computability T

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Nested Sequential Proceduresfer an abstract formulation of an underlying concept of ‘a(chǎn)lgorithm’ that is common to both Kleene computability (as studied in the previous chapter) and Plotkin’s PCF (the subject of the next chapter). We shall consider NSPs both as forming a self-contained model of computation in their own right, a

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PCF and Its Modelss admitting a well-behaved (liberal) interpretation of NSPs are exactly those with . operators. In the present chapter, we will develop an alternative perspective on essentially the same computability notion that takes least fixed points as primitive— a perspective conveniently embodied by Plotkin’s

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The Sequentially Realizable Functionals poset . of Subsection 3.6.4). In the present chapter, we show that SF can also be extended in a very different direction to yield another class SR of ‘computable’ functionals which is in some sense incompatible with PC. This class was first identified by Bucciarelli and Ehrhard [45] as the class of

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Constrain

Related and Future Workon the more established parts of the subject, and with relatively little attention to applications or to other related areas of research. It is therefore fitting to end with a more outward- and forward-facing chapter, mentioning some connections with other fields and some possible avenues for future

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John Longley,Dag Normannturns out to have originally been looted? What is the relevant legal framework? What should be done with ancient shipwrecks filled with objects from former colonies? Should such objects be kept by the finders? 978-3-662-51151-0978-3-642-45094-5

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John Longley,Dag Normannks to reflect upon their meaning for today and the lasting value and implications of what has been created...Art installations are harnessing modern technology to process information and to display it. Such env978-3-319-58120-0978-3-319-58121-7Series ISSN 2191-5768 Series E-ISSN 2191-5776