Kategoria BISAC: Mathematics >> Logic

This book presents reverse mathematics to a general mathematical audience for the first time. Reverse mathematics is a new field that answers some old questions. In the two thousand years that mathematicians have been deriving theorems from axioms, it has often been asked: which axioms are needed to prove a given theorem? Only in the last two hundred years have some of these questions been answered, and only in the last forty years has a systematic approach been developed. In Reverse Mathematics, John Stillwell gives a representative view of this field, emphasizing basic...

The 17 revised full papers presented were carefully reviewed and selected from 31 submissions. The topics of the presented papers include state complexity of automata; implementations of automata and experiments; enhanced regular expressions; and complexity analysis.

This book constitutes the proceeding of the 26th International Conference on Automated Deduction, CADE-26, held in Gothenburg, Sweden, in August 2017.
The 26 full papers and 5 system descriptions presented were carefully reviewed and selected from 69 submissions. CADE is the major forum for the presentation of research in all aspects of automated deduction, including foundations, applications, implementations and practical experience.

The chapter 'Certifying Confluence of Quasi-Decreasing Strongly Deterministic Conditional Term Rewrite Systems' is published open access under a CC...

The 17 papers presented in this volume were carefully reviewed and selected from 26 submissions. They were organized in topical sections named: description and temporal logics, decision procedures, decidability and verification, SAT, SMT and automated theorem proving, term rewriting, and properties and combinations of logics.

This book provides an explanation of the number of space-time dimensions in our universe based on the number of qubit interactions and on the nature of the Asynchronous Logic parallelism requirements (both discussed in earlier books). Both approaches set the number of dimensions of our space-time to 4.

The book also shows that our Unified SuperStandard Model can be viewed as a distinct variant of SuperString theory due to the presence of strings within dressed free particles and the presence of SuperSymmetry. In brief the theory dresses particles with strings unlike SuperString...

The 19 papers presented in this volume were carefully reviewed and selected from 27 submissions. They were organized in topical sections named: Sequents systems; tableaux; transitive closure and cyclic proofs; formalization and complexity.

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.

The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level.

The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late...