Logic, Computation, Hierarchies - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Logic, Computation, Hierarchies write by Vasco Brattka. This book was released on 2014-09-04. Logic, Computation, Hierarchies available in PDF, EPUB and Kindle. Published in honor of Victor L. Selivanov, the 17 articles collected in this volume inform on the latest developments in computability theory and its applications in computable analysis; descriptive set theory and topology; and the theory of omega-languages; as well as non-classical logics, such as temporal logic and paraconsistent logic. This volume will be of interest to mathematicians and logicians, as well as theoretical computer scientists.
Recursion-Theoretic Hierarchies
Recursion-Theoretic Hierarchies - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Recursion-Theoretic Hierarchies write by Peter G. Hinman. This book was released on 2017-03-02. Recursion-Theoretic Hierarchies available in PDF, EPUB and Kindle. Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. The theory set out in this volume, the ninth publication in the Perspectives in Logic series, is the result of the meeting and common development of two currents of mathematical research: descriptive set theory and recursion theory. Both are concerned with notions of definability and with the classification of mathematical objects according to their complexity. These are the common themes which run through the topics discussed here. The author develops a general theory from which the results of both areas can be derived, making these common threads clear.
The Cultural Logic of Computation
The Cultural Logic of Computation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Cultural Logic of Computation write by David Golumbia. This book was released on 2009-04-30. The Cultural Logic of Computation available in PDF, EPUB and Kindle. Advocates of computers make sweeping claims for their inherently transformative power: new and different from previous technologies, they are sure to resolve many of our existing social problems, and perhaps even to cause a positive political revolution. In The Cultural Logic of Computation, David Golumbia, who worked as a software designer for more than ten years, confronts this orthodoxy, arguing instead that computers are cultural “all the way down”—that there is no part of the apparent technological transformation that is not shaped by historical and cultural processes, or that escapes existing cultural politics. From the perspective of transnational corporations and governments, computers benefit existing power much more fully than they provide means to distribute or contest it. Despite this, our thinking about computers has developed into a nearly invisible ideology Golumbia dubs “computationalism”—an ideology that informs our thinking not just about computers, but about economic and social trends as sweeping as globalization. Driven by a programmer’s knowledge of computers as well as by a deep engagement with contemporary literary and cultural studies and poststructuralist theory, The Cultural Logic of Computation provides a needed corrective to the uncritical enthusiasm for computers common today in many parts of our culture.
A Computational Logic
A Computational Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Computational Logic write by Robert S. Boyer. This book was released on 2014-06-25. A Computational Logic available in PDF, EPUB and Kindle. ACM Monograph Series: A Computational Logic focuses on the use of induction in proving theorems, including the use of lemmas and axioms, free variables, equalities, and generalization. The publication first elaborates on a sketch of the theory and two simple examples, a precise definition of the theory, and correctness of a tautology-checker. Topics include mechanical proofs, informal development, formal specification of the problem, well-founded relations, natural numbers, and literal atoms. The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions. Topics include nonrecursive functions, computing values, free variables in hypothesis, infinite backwards chaining, infinite looping, computing type sets, and type prescriptions. The manuscript takes a look at rewriting terms and simplifying clauses, eliminating destructors and irrelevance, using equalities, and generalization. Concerns include reasons for eliminating isolated hypotheses, precise statement of the generalization heuristic, restricting generalizations, precise use of equalities, and multiple destructors and infinite looping. The publication is a vital source of data for researchers interested in computational logic.
Well-Quasi Orders in Computation, Logic, Language and Reasoning
Well-Quasi Orders in Computation, Logic, Language and Reasoning - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Well-Quasi Orders in Computation, Logic, Language and Reasoning write by Peter M. Schuster. This book was released on 2020-01-01. Well-Quasi Orders in Computation, Logic, Language and Reasoning available in PDF, EPUB and Kindle. This book bridges the gaps between logic, mathematics and computer science by delving into the theory of well-quasi orders, also known as wqos. This highly active branch of combinatorics is deeply rooted in and between many fields of mathematics and logic, including proof theory, commutative algebra, braid groups, graph theory, analytic combinatorics, theory of relations, reverse mathematics and subrecursive hierarchies. As a unifying concept for slick finiteness or termination proofs, wqos have been rediscovered in diverse contexts, and proven to be extremely useful in computer science. The book introduces readers to the many facets of, and recent developments in, wqos through chapters contributed by scholars from various fields. As such, it offers a valuable asset for logicians, mathematicians and computer scientists, as well as scholars and students.
