Subrecursive Programming Systems: Complexity & Succinctness - Couverture rigide

Royer, James S.; Case, John

Couverture rigide

ISBN 10 : 0817637672 ISBN 13 : 9780817637675

Editeur : Birkhauser Boston Inc, 1994

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: Birkhauser Boston Inc
• Date d'édition: 1994
• Langue: anglais
• ISBN 10: 0817637672
• ISBN 13: 9780817637675
• Reliure: Relié
• Nombre de pages: 261
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne