Recursively Enumerable Sets and Degrees

Recursively Enumerable Sets and Degrees

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...qThe 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.q Acta Scientiarum Mathematicarum, Ungarn 1988 ...qThe 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.q Zentralblatt fA¼r Mathematik, 623.1988Shoenfielda#39;s conjecture asserts that if a C R satisfies the diagram D(x), and if D\ (x , y) is any consistent diagram in L(alt;, U, 0 ... the second which led to the cupping and anti-cupping theorems and ultimately to the undecidability of the elementary anbsp;...

Title:Recursively Enumerable Sets and Degrees
Author:Robert I. Soare
Publisher:Springer Science & Business Media - 1987


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