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Titlebook: Constructivity in Computer Science; Summer Symposium, Sa J. Paul Myers,Michael J. O‘Donnell Conference proceedings 1992 Springer-Verlag Ber

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Bringing mathematics education into the algorithmic age,be made more algorithmic, both in style and in content. Particular attention will be paid to the term ., which will be seen as oxymoronic. An algorithmic explanation will be developed, particularly for the .. We shall also give an algorithmic analysis of ..
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Reflective semantics of constructive type theory,ructive Type Theory, it is furthermore possible to define a semantics of the types in the type theory itself, and that this procedure results in new reasoning principles for type theory. Paradoxes are avoided by stratifying the definition in layers.
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A logical view of assignments,namely references and assignments. The language shares with typed lambda calculus important properties such as the Church-Rosser property and strong normalization. In this paper, we describe the logical symmetries that underlie ILC by exhibiting a constructive logic for which ILC forms the language
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Constructivity issues in graph algorithms, exist to solve them. Until recently, one could expect proofs of tractability to be constructive. This comfortable situation is altered, however, by the new and inherently .constructive developments in the theory of well-partially-ordered sets. In this paper, we survey some of the main results and o
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Constructive topology and combinatorics,structive use of compactness in combinatorics, often in the form of the use of König‘s lemma (which says that a finitely branching tree that is infinite has an infinite branch.) The method consists roughly of working with the corresponding point-free version of the topological argument, which can be
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Implementing constructive real analysis (preliminary report),cs. As a first step in exploring the issues involved, we have developed a basis for formalizing substantial parts of real analysis. More specifically, we have: developed type-theoretic representations of concepts from Bishop‘s treatment of constructive mathematics that allow reasonably direct formal
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Examples of semicomputable sets of real and complex numbers, reduce to the classical notion of recursive enumerability over the natural numbers. By working in the algebra of the reals, with and without order, we find examples of sets which distinguish between these three notions. We also find interesting examples of sets of real and complex numbers which are
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