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Titlebook: Reflexive Structures; An Introduction to C Luis E. Sanchis Book 1988 Springer-Verlag New York Inc. 1988 algorithms.computability theory.com

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书目名称Reflexive Structures
副标题An Introduction to C
编辑Luis E. Sanchis
视频video
图书封面Titlebook: Reflexive Structures; An Introduction to C Luis E. Sanchis Book 1988 Springer-Verlag New York Inc. 1988 algorithms.computability theory.com
描述.Reflexive Structures: An Introduction to Computability . .Theory. is concerned with the foundations of the theory of recursive functions. The approach taken presents the fundamental structures in a fairly general setting, but avoiding the introduction of abstract axiomatic domains. Natural numbers and numerical functions are considered exclusively, which results in a concrete theory conceptually organized around Church‘s thesis. The book develops the important structures in recursive function theory: closure properties, reflexivity, enumeration, and hyperenumeration. Of particular interest is the treatment of recursion, which is considered from two different points of view: via the minimal fixed point theory of continuous transformations, and via the well known stack algorithm. .Reflexive Structures. .is intended as an introduction to the general theory of . .computability. It can be used as a text or reference in . .senior undergraduate and first year graduate level classes . .in computer science or mathematics. .
出版日期Book 1988
关键词algorithms; computability theory; computer; computer science
版次1
doihttps://doi.org/10.1007/978-1-4612-3878-2
isbn_softcover978-1-4612-8386-7
isbn_ebook978-1-4612-3878-2
copyrightSpringer-Verlag New York Inc. 1988
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Book 1988h taken presents the fundamental structures in a fairly general setting, but avoiding the introduction of abstract axiomatic domains. Natural numbers and numerical functions are considered exclusively, which results in a concrete theory conceptually organized around Church‘s thesis. The book develop
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Functions and Predicates,d with different procedures that can be used to specify functions and predicates and the manner in which such procedures can be combined. The main tool in our discussion is the notion of minimal closure, which characterizes the class of all functions and predicates that can be generated by using a g
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Enumeration,akes place via the graph predicates of functions. In a more general setting we consider selector properties. Operations on predicates and the associated closure properties play a central role in our discussion. In particular, we consider the so-called unbounded quantification, existential and univer
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Reflexive Structures,which means that there are predicates that are .-enumerable (i.e., recursively enumerable in .) but are not recursive in .. Results of this type require a diagonalization technique, involving a kind of internal enumeration, or indexing for the class RC(.).
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