Subrecursive Programming Systems: Complexity & Succinctness (Progress in Theoretical Computer Science) - Softcover
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1.1. What This Book is About This book is a study of • subrecursive programming systems, • efficiency/program-size trade-offs between such systems, and • how these systems can serve as tools in complexity theory. Section 1.1 states our basic themes, and Sections 1.2 and 1.3 give a general outline of the book. Our first task is to explain what subrecursive programming systems are and why they are of interest. 1.1.1. Subrecursive Programming Systems A subrecursive programming system is, roughly, a programming language for which the result of running any given program on any given input can be completely determined algorithmically. Typical examples are: 1. the Meyer-Ritchie LOOP language [MR67,DW83], a restricted assem bly language with bounded loops as the only allowed deviation from straight-line programming; 2. multi-tape 'lUring Machines each explicitly clocked to halt within a time bound given by some polynomial in the length ofthe input (see [BH79,HB79]); 3. the set of seemingly unrestricted programs for which one can prove 1 termination on all inputs (see [Kre51,Kre58,Ros84]); and 4. finite state and pushdown automata from formal language theory (see [HU79]). lOr, more precisely, the collection of programs, p, ofsome particular general-purpose programming language (e.g., Lisp or Modula-2) for which there is a proof in some par ticular formal system (e.g., Peano Arithmetic) that p halts on all inputs.
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Subrecursive Programming Systems: Complexity & Succinctness (Progress in Theoretical Computer Science)
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Subrecursive Programming Systems : Complexity & Succinctness
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Subrecursive Programming Systems
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -1.1. What This Book is About This book is a study of subrecursive programming systems, efficiency/program-size trade-offs between such systems, and how these systems can serve as tools in complexity theory. Section 1.1 states our basic themes, and Sections 1.2 and 1.3 give a general outline of the book. Our first task is to explain what subrecursive programming systems are and why they are of interest. 1.1.1. Subrecursive Programming Systems A subrecursive programming system is, roughly, a programming language for which the result of running any given program on any given input can be completely determined algorithmically. Typical examples are: 1. the Meyer-Ritchie LOOP language [MR67,DW83], a restricted assem bly language with bounded loops as the only allowed deviation from straight-line programming; 2. multi-tape 'lUring Machines each explicitly clocked to halt within a time bound given by some polynomial in the length ofthe input (see [BH79,HB79]); 3. the set of seemingly unrestricted programs for which one can prove 1 termination on all inputs (see [Kre51,Kre58,Ros84]); and 4. finite state and pushdown automata from formal language theory (see [HU79]). lOr, more precisely, the collection of programs, p, ofsome particular general-purpose programming language (e.g., Lisp or Modula-2) for which there is a proof in some par ticular formal system (e.g., Peano Arithmetic) that p halts on all inputs. 264 pp. Englisch. Seller Inventory # 9781461266808
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 1 Introduction.- 1.1 What This Book is About.- 1.1.1 Subrecursive Programming Systems.- 1.1.2 Relative Succinctness Trade-offs.- 1.1.3 The Toolkit.- 1.2 Outline of Part I. A Subrecursion Programming Systems Toolkit.- 1.3 Outline of Part II. Program Succinct. Seller Inventory # 4189324
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Taschenbuch. Condition: Neu. Subrecursive Programming Systems | Complexity & Succinctness | James S. Royer (u. a.) | Taschenbuch | viii | Englisch | 2012 | Birkhäuser | EAN 9781461266808 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 106118836
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Subrecursive Programming Systems
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -1 Introduction.- 1.1 What This Book is About.- 1.2 Outline of Part I. A Subrecursion Programming Systems Toolkit.- 1.3 Outline of Part II. Program Succinctness.- 1.4 Brief History of Prior Results.- 1.5 How to Use This Book.- 1.6 Acknowledgments.- I A Subrecursion Programming Systems Toolkit.- 2 Basic Notation and Definitions.- 3 Deterministic Multi-tape Turing Machines.- 4 Programming Systems.- 5 The LOOP Hierarchy.- 6 The Poly-Degree Hierarchy.- 7 Delayed Enumeration and Limiting Recursion.- 8 Inseparability Notions.- 9 Toolkit Demonstrations.- II Program Succinctness.- 10 Notions of Succinctness.- 11 Limiting-Recursive Succinctness Progressions.- 12 Succinctness for Finite and Infinite Variants.- 13 Succinctness for Singleton Sets.- 14 Further Problems.- Appendix A Exercises.- Appendix B Solutions for Selected Exercises.- Notation Index.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 264 pp. Englisch. Seller Inventory # 9781461266808
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Subrecursive Programming Systems : Complexity & Succinctness
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 1.1. What This Book is About This book is a study of subrecursive programming systems, efficiency/program-size trade-offs between such systems, and how these systems can serve as tools in complexity theory. Section 1.1 states our basic themes, and Sections 1.2 and 1.3 give a general outline of the book. Our first task is to explain what subrecursive programming systems are and why they are of interest. 1.1.1. Subrecursive Programming Systems A subrecursive programming system is, roughly, a programming language for which the result of running any given program on any given input can be completely determined algorithmically. Typical examples are: 1. the Meyer-Ritchie LOOP language [MR67,DW83], a restricted assem bly language with bounded loops as the only allowed deviation from straight-line programming; 2. multi-tape 'lUring Machines each explicitly clocked to halt within a time bound given by some polynomial in the length ofthe input (see [BH79,HB79]); 3. the set of seemingly unrestricted programs for which one can prove 1 termination on all inputs (see [Kre51,Kre58,Ros84]); and 4. finite state and pushdown automata from formal language theory (see [HU79]). lOr, more precisely, the collection of programs, p, ofsome particular general-purpose programming language (e.g., Lisp or Modula-2) for which there is a proof in some par ticular formal system (e.g., Peano Arithmetic) that p halts on all inputs. Seller Inventory # 9781461266808