Abstract recursion and intrinsic complexity

This book presents and applies a framework for studying the complexity of algorithms. It is aimed at logicians, computer scientists, mathematicians and philosophers interested in the theory of computation and its foundations, and it is written at a level suitable for non-specialists. Part I provides...

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1. Verfasser: Moschovakis, Yiannis N.
Format: E-Book
Sprache:English
Veröffentlicht: Cambridge Cambridge University Press 2019
Schriftenreihe:Lecture notes in logic 48
Online-Zugang:Volltext
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Abstract recursion and intrinsic complexity Yiannis N. Moschovakis
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Lecture notes in logic 48
This book presents and applies a framework for studying the complexity of algorithms. It is aimed at logicians, computer scientists, mathematicians and philosophers interested in the theory of computation and its foundations, and it is written at a level suitable for non-specialists. Part I provides an accessible introduction to abstract recursion theory and its connection with computability and complexity. This part is suitable for use as a textbook for an advanced undergraduate or graduate course: all the necessary elementary facts from logic, recursion theory, arithmetic and algebra are included. Part II develops and applies an extension of the homomorphism method due jointly to the author and Lou van den Dries for deriving lower complexity bounds for problems in number theory and algebra which (provably or plausibly) restrict all elementary algorithms from specified primitives. The book includes over 250 problems, from simple checks of the reader's understanding, to current open problems.
Erscheint auch als Druck-Ausgabe 9781108415583
TUM01 ZDB-20-CTM TUM_PDA_CTM https://doi.org/10.1017/9781108234238 Volltext
spellingShingle Moschovakis, Yiannis N.
Abstract recursion and intrinsic complexity
title Abstract recursion and intrinsic complexity
title_auth Abstract recursion and intrinsic complexity
title_exact_search Abstract recursion and intrinsic complexity
title_full Abstract recursion and intrinsic complexity Yiannis N. Moschovakis
title_fullStr Abstract recursion and intrinsic complexity Yiannis N. Moschovakis
title_full_unstemmed Abstract recursion and intrinsic complexity Yiannis N. Moschovakis
title_short Abstract recursion and intrinsic complexity
title_sort abstract recursion and intrinsic complexity
url https://doi.org/10.1017/9781108234238
work_keys_str_mv AT moschovakisyiannisn abstractrecursionandintrinsiccomplexity