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Author : Christine Ann Haught
Release : 1985
Genre : Lattice theory
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Turing and Truth Table Degrees of 1-generic and Recursively Enumerable Sets by : Christine Ann Haught
Download or read book Turing and Truth Table Degrees of 1-generic and Recursively Enumerable Sets written by Christine Ann Haught. This book was released on 1985. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard Warren Blaylock
Release : 1991
Genre :
Kind : eBook
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Book Synopsis Some Results One-genericity and Recursively Enumerable Weak Truth Table Degrees by : Richard Warren Blaylock
Download or read book Some Results One-genericity and Recursively Enumerable Weak Truth Table Degrees written by Richard Warren Blaylock. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt: In this manuscript we explore two topics in recursion theory and their interaction. The first topic is e-genericity, a notion of genericity for recursively enumerable (r.e.) sets introduced by C. G. Jockusch, Jr. The second is weak truth table reducibility (w-reducibility), a strong reducibility (i.e., stronger than the most general Turing reducibility) first introduced by Friedberg and Rogers. In Chapter 1 we give a brief introduction to these topics and establish the relevant terminology and notation. In Chapter 2 we give some closure and non-closure properties for the classes of e-generic sets and degrees, which are predicted by analogous results for previous notions of genericity. For example, the e-generic sets are not closed under union, intersection, or join, but on the other hand if the join $A oplus B$ of two sets is e-generic, then so are $A,B, A cup B$, and $A cap B$. In Chapter 3 we investigate the structure of the weak truth table degrees (w-degrees) inside an e-generic Turing degree. Here we show that e-generic Turing degrees are highly noncontiguous in the sense that they contain no greatest and no least r.e. w-degree. Finally in Chapter 4 we obtain some results on the ordering of the r.e. w-degrees in general. The main result is the existence of a nontrivial r.e. w-degree a which has a greatest lower bound with every r.e. w-degree b. We also show that these nontrivial completely cappable degrees can neither be low nor promptly simple.
Author : Petio P. Petkov
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 094/5 ( reviews)
Book Synopsis Mathematical Logic by : Petio P. Petkov
Download or read book Mathematical Logic written by Petio P. Petkov. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Heyting'88 Summer School and Conference on Mathematical Logic, held September 13 - 23, 1988 in Chaika, Bulgaria, was honourably dedicated to Arend Heyting's 90th anniversary. It was organized by Sofia University "Kliment Ohridski" on the occasion of its centenary and by the Bulgarian Academy of Sciences, with sponsorship of the Association for Symbolic Logic. The Meeting gathered some 115 participants from 19 countries. The present volume consists of invited and selected papers. Included are all the invited lectures submitted for publication and the 14 selected contributions, chosen out of 56 submissions by the Selection Committee. The selection was made on the basis of reports of PC members, an average of 4 per sLlbmission. All the papers are concentrated on the topics of the Meeting: Recursion Theory, Modal and Non-classical Logics, Intuitionism and Constructivism, Related Applications to Computer and Other Sciences, Life and Work of Arend Heyting. I am pleased to thank all persons and institutions that contributed to the success of the Meeting: sponsors, Programme Committee members and additional referees, the members of the Organizing Committee, our secretaries K. Lozanova and L. Nikolova, as well as K. Angelov, V. Bozhichkova, A. Ditchev, D. Dobrev, N. Dimitrov, R. Draganova, G. Gargov, N. Georgieva, M. Janchev, P. Marinov, S. Nikolova, S. Radev, I. Soskov, A. Soskova and v. Sotirov, who helped in the organization, Plenum Press and at last but not least all participants in the Meeting and contributors to this volume
Author : Robert I. Soare
Release : 1999-11-01
Genre : Mathematics
Kind : eBook
Book Rating : 996/5 ( reviews)
Book Synopsis Recursively Enumerable Sets and Degrees by : Robert I. Soare
Download or read book Recursively Enumerable Sets and Degrees written by Robert I. Soare. This book was released on 1999-11-01. Available in PDF, EPUB and Kindle. Book excerpt: ..."The book, written by one of the main researchers on the field, gives a complete account of the theory of r.e. degrees. .... The definitions, results and proofs are always clearly motivated and explained before the formal presentation; the proofs are described with remarkable clarity and conciseness. The book is highly recommended to everyone interested in logic. It also provides a useful background to computer scientists, in particular to theoretical computer scientists." Acta Scientiarum Mathematicarum, Ungarn 1988 ..."The main purpose of this book is to introduce the reader to the main results and to the intricacies of the current theory for the recurseively enumerable sets and degrees. The author has managed to give a coherent exposition of a rather complex and messy area of logic, and with this book degree-theory is far more accessible to students and logicians in other fields than it used to be." Zentralblatt für Mathematik, 623.1988
Author : S. Barry Cooper
Release : 1999-06-17
Genre : Computers
Kind : eBook
Book Rating : 500/5 ( reviews)
Book Synopsis Models and Computability by : S. Barry Cooper
Download or read book Models and Computability written by S. Barry Cooper. This book was released on 1999-06-17. Available in PDF, EPUB and Kindle. Book excerpt: Second of two volumes providing a comprehensive guide to the current state of mathematical logic.
