This is a book about computation, something which is ubiquitous in the modern world. More precisely, it examines computability theory and computational complexity theory. Computability theory is the part of mathematics and computer science which s...Loe edasi...
(Ilmumisaeg: 09-Apr-2024, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811232275)
This is a book about the Halting Problem, arguably the most (in)famous computer-related problem: can an algorithm decide in finite time whether an arbitrary computer program eventually stops? This seems a dull, petty question: after all, you run t...Loe edasi...
This survey of computability theory offers the techniques and tools that computer scientists (as well as mathematicians and philosophers studying the mathematical foundations of computing) need to mathematically analyze computational processes and...Loe edasi...
Reverse mathematics studies the complexity of proving mathematical theorems and solving mathematical problems. Typical questions include: Can we prove this result without first proving that one? Can a computer solve this problem? A highly active p...Loe edasi...
This survey of computability theory offers the techniques and tools that computer scientists (as well as mathematicians and philosophers studying the mathematical foundations of computing) need to mathematically analyze computational processes and...Loe edasi...
(Ilmumisaeg: 26-Jul-2022, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031113666)
Reverse mathematics studies the complexity of proving mathematical theorems and solving mathematical problems. Typical questions include: Can we prove this result without first proving that one? Can a computer solve this problem? A highly active p...Loe edasi...
(Ilmumisaeg: 28-Jun-2022, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811259289)
This Volume Features The Latest Scientific Developments In The Fields Of Computability Theory And Logical Foundations Of Mathematics As Well As Applications. The Scope Involves The Topics Of Computability Theory, Reverse Mathematics, Nonstandard A...Loe edasi...
Computable analysis is the modern theory of computability and complexity in analysis that arose out of Turings seminal work in the 1930s. This was motivated by questions such as: which real numbers and real number functions are computable, and wh...Loe edasi...
This is the ?rst book to systematically introduce the basic constructive-computational theory and methods developed for investigating solvable polynomial algebras and their modules. This book is perfectly suited to researchers and postgrads resear...Loe edasi...
(Ilmumisaeg: 24-Jun-2021, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781108423298)
In mathematics, we know there are some concepts - objects, constructions, structures, proofs - that are more complex and difficult to describe than others. Computable structure theory quantifies and studies the complexity of mathematical structures,...Loe edasi...
This handbook is the first coherent presentation of a cross-section through most active research topics on the more theoretical side of the field. All chapters are written by leading experts who are working at the cutting edge of the respective to...Loe edasi...
This book, Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity, presents new techniques with functorial models to address important areas on pure mathematics and computability theory from th...Loe edasi...
Considering how minimal weak truth table degrees interact with computably enumerable Turing degrees, Downey, Ng, and Solomon obtain three main results. First, there are sets with minimal weak truth table degree that bound noncomputable computably...Loe edasi...
Douglas Cenzer, Christopher Porter, Jindrich Zapletal
(Ilmumisaeg: 19-Oct-2020, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789813228221)
This volume presents some exciting new developments occurring on the interface between set theory and computability as well as their applications in algebra, analysis and topology. These include effective versions of Borel equivalence, Borel reduc...Loe edasi...
(Ilmumisaeg: 16-Jun-2020, Hardback, Kirjastus: Princeton University Press, ISBN-13: 9780691199658)
This book presents new results in computability theory, a branch of mathematical logic and computer science that has become increasingly relevant in recent years. The fields connections with disparate areas of mathematical logic and mathematics mor...Loe edasi...
Computability theory is a branch of mathematical logic and computer science that has become increasingly relevant in recent years. The field has developed growing connections in diverse areas of mathematics, with applications suitable to topology,...Loe edasi...
Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in scien...Loe edasi...
(Ilmumisaeg: 18-Jul-2019, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781108482295)
Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in scien...Loe edasi...
