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Arithmetic, proof theory, and computational complexity

Autor: Gaisi Takeuti; Peter Clote; Jan Krajíček
Editorial: Oxford : Clarendon Press, 1993.
Serie: Oxford logic guides, 23
Edición/Formato:   Libro impreso : Inglés (eng)Ver todas las ediciones y todos los formatos
Base de datos:WorldCat
Resumen:

This book principally concerns the area of "Logical Complexity Theory", the study of bounded arithmetic, propositional proof systems, length of proof, etc and relations to computational complexity  Leer más

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Tipo de documento Libro
Todos autores / colaboradores: Gaisi Takeuti; Peter Clote; Jan Krajíček
ISBN: 0198536909 9780198536901
Número OCLC: 463723602
Notas: Bibliogr. à la fin de chaque chap.
Descripción: X-428 p. : [1] portr. ; 25 cm.
Contenido: Preface ; 1. Open Problems ; 2. Note on the Existence of Most General Semi-unifiers ; 3. Kreisel's Conjecture for L31 (including a postscript by George Kreisel) ; 4. Number of Symbols in Frege Proofs with and without the Deduction Rule ; 5. Algorithm for Boolean Formula Evolution and for Tree Contraction ; 6. Provably Total Functions in Bounded Arithmetic Theories Ri3, Ui2 and Vi2 ; 7. On Polynomial Size Frege Proofs of Certain Combinatorial Principles ; 8. Interpretability and Fragments of arithmetic ; 9. Abbreviating Proofs Using Metamathematical Rules ; 10. Open Induction, Tennenbaum Phenomena, and Complexity Theory ; 11. Using Herbrand-type Theorems to Separate Strong Fragments of Arithmetic ; 12. An Equivalence between Second Order Bounded Domain Bounded Arithmetic and First Order Bounded Arithmetic ; 13. Integer Parts of Real Closed Exponential Fields (extended abstract) ; 14. Making Infinite Structures Finite in Models of Second Order Bounded Arithmetic ; 15. Ordinal Arithmetic in I ; 16. RSUV Isomorphism ; 17. Feasible Interpretability
Título de la serie: Oxford logic guides, 23
Responsabilidad: ed. by Peter Clote ... Jan Krajíc̆ek ...
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The book is on the level of a graduate course, and in this is superb. A highly recommendable book. * Mededelingen van Het Wiskundig Genootschaap, September 1996 * This is a valuable survey of the Leer más

 
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