Bounded Variable Logics and Counting

Bounded Variable Logics and Counting
Author: Martin Otto
Publisher: Cambridge University Press
Total Pages: 195
Release: 2017-03-02
Genre: Mathematics
ISBN: 1316739279

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. In this volume, the ninth publication in the Lecture Notes in Logic series, Martin Otto gives an introduction to finite model theory that indicates the main ideas and lines of inquiry that motivate research in this area. Particular attention is paid to bounded variable infinitary logics, with and without counting quantifiers, related fixed-point logics, and the corresponding fragments of Ptime. The relations with Ptime exhibit the fruitful exchange between ideas from logic and from complexity theory that is characteristic of finite model theory.

Bounded Variable Logics and Counting

Bounded Variable Logics and Counting
Author: Martin Otto
Publisher:
Total Pages: 183
Release: 2016
Genre: MATHEMATICS
ISBN: 9781316754719

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. In this volume, the ninth publication in the 'Lecture Notes in Logic' series, Martin Otto gives an introduction to finite model theory that indicates the main ideas and lines of inquiry that motivate research in this area. Particular attention is paid to bounded variable infinitary logics, with and without counting quantifiers, related fixed-point logics, and the corresponding fragments of Ptime. The relations with Ptime exhibit the fruitful exchange between ideas from logic and from complexity theory that is characteristic of finite model theory.

A Companion to Philosophical Logic

A Companion to Philosophical Logic
Author: Dale Jacquette
Publisher: John Wiley & Sons
Total Pages: 832
Release: 2008-04-15
Genre: Philosophy
ISBN: 1405149949

This collection of newly comissioned essays by international contributors offers a representative overview of the most important developments in contemporary philosophical logic. Presents controversies in philosophical implications and applications of formal symbolic logic. Surveys major trends and offers original insights.

Static Analysis

Static Analysis
Author: Roberto Giacobazzi
Publisher: Springer
Total Pages: 403
Release: 2004-11-18
Genre: Computers
ISBN: 3540278648

This book constitutes the refereed proceedings of the 11th International Symposium on Static Analysis, SAS 2004, held in Verona, Italy in August 2004. The 23 revised full papers presented with an invited paper and abstracts of 3 invited talks were carefully reviewed and selected from 63 submissions. The papers are organized in topical sections on program and systems verification, security and safety, pointer analysis, abstract interpretation and algorithms, shape analysis, abstract domain and data structures, shape analysis and logic, and termination analysis.

Descriptive Complexity, Canonisation, and Definable Graph Structure Theory

Descriptive Complexity, Canonisation, and Definable Graph Structure Theory
Author: Martin Grohe
Publisher: Cambridge University Press
Total Pages: 554
Release: 2017-08-17
Genre: Mathematics
ISBN: 1108234305

Descriptive complexity theory establishes a connection between the computational complexity of algorithmic problems (the computational resources required to solve the problems) and their descriptive complexity (the language resources required to describe the problems). This groundbreaking book approaches descriptive complexity from the angle of modern structural graph theory, specifically graph minor theory. It develops a 'definable structure theory' concerned with the logical definability of graph theoretic concepts such as tree decompositions and embeddings. The first part starts with an introduction to the background, from logic, complexity, and graph theory, and develops the theory up to first applications in descriptive complexity theory and graph isomorphism testing. It may serve as the basis for a graduate-level course. The second part is more advanced and mainly devoted to the proof of a single, previously unpublished theorem: properties of graphs with excluded minors are decidable in polynomial time if, and only if, they are definable in fixed-point logic with counting.

Mathematical Foundations of Computer Science 2005

Mathematical Foundations of Computer Science 2005
Author: Joanna Jedrzejowicz
Publisher: Springer
Total Pages: 829
Release: 2005-09-14
Genre: Computers
ISBN: 3540318674

This volume contains the papers presented at the 30th Symposium on Mathematical Foundations of Computer Science (MFCS 2005) held in Gdansk, Poland from August 29th to September 2nd, 2005.

Foundations of Information and Knowledge Systems

Foundations of Information and Knowledge Systems
Author: Thomas Eiter
Publisher: Springer
Total Pages: 299
Release: 2003-07-31
Genre: Computers
ISBN: 3540457585

This volume contains the papers presented at the “Second International S- posium on Foundations of Information and Knowledge Systems” (FoIKS 2002), which was held in Schloß Salzau, Germany from February 20th to 23rd, 2002. FoIKS is a biennial event focusing on theoretical foundations of information and knowledge systems. It aims to bring together researchers working on the theoretical foundations of information and knowledge systems and to attract researchers working in mathematical ?elds such as discrete mathematics, c- binatorics, logics, and ?nite model theory who are interested in applying their theories to research on database and knowledge base theory. FoIKS took up the tradition of the conference series “Mathematical Fundamentals of Database S- tems” (MFDBS) which enabled East-West collaboration in the ?eld of database theory. The ?rst FoIKS symposium was held in Burg, Spreewald (Germany) in 2000. Former MFDBS conferences were held in Dresden (Germany) in 1987, Visegr ́ ad (Hungary) in 1989, and in Rostock (Germany) in 1991. Proceedings of these previous events were published by Springer-Verlag as volumes 305, 364, 495, and 1762 of the LNCS series. In addition the FoIKS symposium is intended to be a forum for intensive d- cussions. For this reason the time slot of long and short contributions is 60 and 30 minutes respectively, followed by 30 and 15 minutes for discussions, respectively. Furthermore, participants are asked in advance to prepare as correspondents to a contribution of another author. There are also special sessions for the pres- tation and discussion of open research problems.

Logic, Language, Information and Computation

Logic, Language, Information and Computation
Author: Wilfrid Hodges
Publisher: Springer
Total Pages: 321
Release: 2008-06-27
Genre: Philosophy
ISBN: 3540699376

Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the 4th volume of the FoLLI LNAI subline; containing the refereed proceedings of the 15th International Workshop on Logic, Language, Information and Computation, WoLLIC 2008, held in Edinburgh, UK, in July 2008. The 21 revised full papers presented together with the abstracts of 7 tutorials and invited lectures were carefully reviewed and selected from numerous submissions. The papers cover all pertinent subjects in computer science with particular interest in cross-disciplinary topics. Typical areas of interest are: foundations of computing and programming; novel computation models and paradigms; broad notions of proof and belief; formal methods in software and hardware development; logical approach to natural language and reasoning; logics of programs, actions and resources; foundational aspects of information organization, search, flow, sharing, and protection.

Elements of Finite Model Theory

Elements of Finite Model Theory
Author: Leonid Libkin
Publisher: Springer Science & Business Media
Total Pages: 320
Release: 2013-03-09
Genre: Mathematics
ISBN: 3662070030

Emphasizes the computer science aspects of the subject. Details applications in databases, complexity theory, and formal languages, as well as other branches of computer science.