1.

Record Nr.

UNINA9910460574303321

Autore

Chong C.-T (Chi-Tat), <1949->

Titolo

Recursion theory : computational aspects of definability / / Chi Tat Chong, Liang Yu

Pubbl/distr/stampa

Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2015

©2015

ISBN

3-11-038129-X

3-11-027564-3

Descrizione fisica

1 online resource (322 p.)

Collana

De Gruyter Series in Logic and Its Applications, , 1438-1893 ; ; Volume 8

Disciplina

511.3/5

Soggetti

Recursion theory

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Front matter -- Preface -- Contents -- Part I: Fundamental theory -- 1 An introduction to higher recursion theory -- 2 Hyperarithmetic theory -- 3 Admissibility and constructibility -- 4 The theory of Π1 1-sets -- 5 Recursion-theoretic forcing -- 6 Set theory -- Part II: The story of Turing degrees -- 7 Classification of jump operators -- 8 The construction of Π1 1-sets -- 9 Independence results in recursion theory -- Part III: Hyperarithmetic degrees and perfect set property -- 10 Rigidity and bi-interpretability of hyperdegrees -- 11 Basis theorems -- Part IV: Higher randomness theory -- 12 Review of classical algorithmic randomness -- 13 More on hyperarithmetic theory -- 14 The theory of higher randomness -- A Open problems -- B An interview with Gerald E. Sacks -- C Notations and symbols -- Bibliography -- Index -- Backmatter

Sommario/riassunto

This monograph presents recursion theory from a generalized point of view centered on the computational aspects of definability. A major theme is the study of the structures of degrees arising from two key notions of reducibility, the Turing degrees and the hyperdegrees, using techniques and ideas from recursion theory, hyperarithmetic theory, and descriptive set theory. The emphasis is on the interplay between recursion theory and set theory, anchored on the notion of definability.



The monograph covers a number of fundamental results in hyperarithmetic theory as well as some recent results on the structure theory of Turing and hyperdegrees. It also features a chapter on the applications of these investigations to higher randomness.

2.

Record Nr.

UNISALENTO991000148039707536

Autore

Vigo, Pietro

Titolo

Statuto dei Disciplinati di Pomarance nel volterrano : testo di lingua del secolo 14. / pubblicato per cura di Pietro Vigo

Pubbl/distr/stampa

Bologna : Commissione per i testi di lingua, 1969

Descrizione fisica

XXII, 64 p. ; 19 cm.

Collana

Scelta di curiosità letterarie inedite o rare dal sec. 13. al 19. in appendice alla Collezione di opere inedite o rare ; 88

Disciplina

255.79

Soggetti

Disciplinati - Pisa - Statuti

Lingua di pubblicazione

Italiano

Formato

Materiale a stampa

Livello bibliografico

Monografia