Subrecursive Programming Systems

Name: Subrecursive Programming Systems
Brand: Springer, Berlin
SKU: 9781461266808
Price: 553.26 RON
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Complexity & Succinctness

Autor: James S. Royer, John Case

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Editura: Springer, Berlin

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1.1. What This Book is About This book is a study of subrecursive programming systems, efficiency/pr...

Informații despre carte

Autor

James S. Royer, John Case

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2013

Pagini

253

EAN

9781461266808

ISBN

1461266807

Enbook ID

06794863

Editura

Springer, Berlin

Greutate

409

Dimensiuni

155 x 235 x 14

Descriere completă

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

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