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Arithmetic, proof theory, and computational complexity

著者: Gaisi Takeuti; Peter Clote; Jan Krajíček
出版: Oxford : Clarendon Press, 1993.
シリーズ: Oxford logic guides, 23
エディション/フォーマット:   book_printbook : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
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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  続きを読む

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ドキュメントの種類: 図書
すべての著者/寄与者: Gaisi Takeuti; Peter Clote; Jan Krajíček
ISBN: 0198536909 9780198536901
OCLC No.: 463723602
注記: Bibliogr. à la fin de chaque chap.
物理形態: X-428 p. : [1] portr. ; 25 cm.
コンテンツ: 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
シリーズタイトル: Oxford logic guides, 23
責任者: ed. by Peter Clote, ... Jan Krajíc̆ek, ...
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This book is a valuable survey of the present state of research in this fascinating domain of foundational studies. It can certainly serve as an information and reference source as well as a source 続きを読む

 
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