Computability, Enumerability, Unsolvability: Directions in by S. B. Cooper,T. A. Slaman,S. S. Wainer

Generalized Concavity in Fuzzy Optimization and Decision Analysis (International Series in Operations Research & Management Science)

Convexity of units in linear areas, and concavity and convexity of capabilities, lie on the root of lovely theoretical effects that are even as tremendous necessary within the research and resolution of optimization difficulties, together with difficulties of both unmarried target or a number of ambitions. now not all of those effects count unavoidably on convexity and concavity; many of the effects can ensure that every one neighborhood optimal is additionally a world optimal, giving those tools broader program to a much broader type of difficulties.

Computability and Unsolvability (Dover Books on Computer Science)

During this vintage textual content, Dr. Davis offers a transparent creation to computability, at a sophisticated undergraduate point, that serves the wishes of experts and non-specialists alike. partially One (Chapters 1–5), Professor Davis outlines the final idea of computability, discussing such issues as computable features, operations on computable capabilities, recursive capabilities, Turing machines, self-applied, and unsolvable determination difficulties.

Elements of Automata Theory

Automata idea lies on the beginning of machine technology, and is key to a theoretical realizing of the way pcs paintings and what constitutes formal tools. This treatise supplies a rigorous account of the subject and illuminates its genuine which means by way of taking a look at the topic in various methods. the 1st a part of the e-book is organised round notions of rationality and recognisability.

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2 (London Mathematical Society Lecture Note Series)

The advance of Maxim Kontsevich's preliminary rules on motivic integration has abruptly encouraged many different parts of arithmetic, starting from the Langlands application over harmonic research, to non-Archimedean research, singularity concept and birational geometry. This ebook assembles different theories of motivic integration and their purposes for the 1st time, permitting readers to check assorted techniques and investigate their person strengths.