Logic, Construction, 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 Logic, Construction, Computation write by Ulrich Berger. This book was released on 2013-05-02. Logic, Construction, Computation available in PDF, EPUB and Kindle. Over the last few decades the interest of logicians and mathematicians in constructive and computational aspects of their subjects has been steadily growing, and researchers from disparate areas realized that they can benefit enormously from the mutual exchange of techniques concerned with those aspects. A key figure in this exciting development is the logician and mathematician Helmut Schwichtenberg to whom this volume is dedicated on the occasion of his 70th birthday and his turning emeritus. The volume contains 20 articles from leading experts about recent developments in Constructive set theory, Provably recursive functions, Program extraction, Theories of truth, Constructive mathematics, Classical vs. intuitionistic logic, Inductive definitions, and Continuous functionals and domains.
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.
Logic, Computation, Hierarchies
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.
Mathematical Logic and Computation
Mathematical Logic and 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 Mathematical Logic and Computation write by Jeremy Avigad. This book was released on 2022-09-30. Mathematical Logic and Computation available in PDF, EPUB and Kindle. A thorough introduction to the fundamental methods and results in mathematical logic, and its foundational role in computer science.
Sets, Logic, Computation
Sets, Logic, 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 Sets, Logic, Computation write by Richard Zach. This book was released on 2021-07-13. Sets, Logic, Computation available in PDF, EPUB and Kindle. A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org.
