Subrecursive Programming Systems: Complexity & Succinctness - Couverture souple

Royer, James S. S.; Case, John

Couverture souple

ISBN 10 : 1461266807 ISBN 13 : 9781461266808

Editeur : Birkhäuser, 2012

Synopsis

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.

Détails de l'édition

• Éditeur: Birkhäuser
• Date d'édition: 2012
• Langue: anglais
• ISBN 10: 1461266807
• ISBN 13: 9781461266808
• Reliure: Broché
• Nombre de pages: 264
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible