On Sets and Graphs

Perspectives on Logic and Combinatorics

Author: Eugenio G. Omodeo,Alberto Policriti,Alexandru I. Tomescu

Publisher: Springer

ISBN: 3319549812

Category: Computers

Page: 275

View: 551

This treatise presents an integrated perspective on the interplay of set theory and graph theory, providing an extensive selection of examples that highlight how methods from one theory can be used to better solve problems originated in the other. Features: explores the interrelationships between sets and graphs and their applications to finite combinatorics; introduces the fundamental graph-theoretical notions from the standpoint of both set theory and dyadic logic, and presents a discussion on set universes; explains how sets can conveniently model graphs, discussing set graphs and set-theoretic representations of claw-free graphs; investigates when it is convenient to represent sets by graphs, covering counting and encoding problems, the random generation of sets, and the analysis of infinite sets; presents excerpts of formal proofs concerning graphs, whose correctness was verified by means of an automated proof-assistant; contains numerous exercises, examples, definitions, problems and insight panels.
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Pristine Perspectives on Logic, Language and Computation

ESSLLI 2012 and ESSLLI 2013 Student Sessions, Selected Papers

Author: Margot Colinet,Sophia Katrenko,Rasmus K. Rendsvig

Publisher: Springer

ISBN: 3662441160

Category: Computers

Page: 267

View: 7437

The European Summer School in Logic, Language and Information (ESSLLI) is organized every year by the Association for Logic, Language and Information (FoLLI) in different sites around Europe. The main focus of ESSLLI is on the interface between linguistics, logic and computation. ESSLLI offers foundational, introductory and advanced courses, as well as workshops, covering a wide variety of topics within the three areas of interest: Language and Computation, Language and Logic, and Logic and Computation. The 16 papers presented in this volume have been selected among 44 papers presented by talks or posters at the Student Sessions of the 24th and 25th editions of ESSLLI, held in 2012 in Opole, Poland, and 2013 in Düsseldorf, Germany. The papers are extended versions of the versions presented, and have all been subjected to a second round of blind peer review.
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Computability and Models

Perspectives East and West

Author: Barry S. Cooper,Sergei S. Goncharov

Publisher: Springer Science & Business Media

ISBN: 9780306474002

Category: Computers

Page: 375

View: 5157

There are few notions as fundamental to contemporary science as those of computability and modelling. Computability and Models attempts to make some of the exciting and important new research developments in this area accessible to a wider readership. Written by international leaders drawn from major research centres both East and West, this book is an essential addition to scientific libraries serving both specialist and the interested non-specialist reader.
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Combinatorics, Computability and Logic

Proceedings of the Third International Conference on Combinatorics, Computability and Logic, (DMTCS’01)

Author: C.S. Calude,M.J. Dinneen,S. Sburlan

Publisher: Springer Science & Business Media

ISBN: 1447107179

Category: Mathematics

Page: 251

View: 4203

This volume contains the papers presented at the Third Discrete Mathematics and Theoretical Computer Science Conference (DMTCS1), which was held at 'Ovidius'University Constantza, Romania in July 2001. The conference was open to all areas of discrete mathematics and theoretical computer science, and the papers contained within this volume cover topics such as: abstract data types and specifications; algorithms and data structures; automata and formal languages; computability, complexity and constructive mathematics; discrete mathematics, combinatorial computing and category theory; logic, nonmonotonic logic and hybrid systems; molecular computing.
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Graphs for Pattern Recognition

Infeasible Systems of Linear Inequalities

Author: Damir Gainanov

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3110481065

Category: Mathematics

Page: 158

View: 6238

Data mining and pattern recognition are areas based on the mathematical constructions discussed in this monograph. By using combinatorial and graph theoretical techniques, it is shown how to tackle infeasible systems of linear inequalities. These are, in turn, building blocks of geometric decision rules for pattern recognition.
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New Perspectives in Algebraic Combinatorics

Author: Louis J. Billera

Publisher: Cambridge University Press

ISBN: 9780521770873

Category: Mathematics

Page: 345

View: 5473

2000 text containing expository contributions by respected researchers on the connections between algebraic geometry, topology, commutative algebra, representation theory, and convex geometry.
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A Logical Approach to Discrete Math

Author: David Gries,Fred B. Schneider

Publisher: Springer Science & Business Media

ISBN: 1475738374

Category: Computers

Page: 516

View: 1515

Here, the authors strive to change the way logic and discrete math are taught in computer science and mathematics: while many books treat logic simply as another topic of study, this one is unique in its willingness to go one step further. The book traets logic as a basic tool which may be applied in essentially every other area.
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Lectures on Discrete Mathematics for Computer Science

Author: Bakhadyr Khoussainov,Nodira Khoussainova

Publisher: World Scientific Publishing Company

ISBN: 9813108126

Category: Mathematics

Page: 364

View: 9841

This textbook presents fundamental topics in discrete mathematics introduced from the perspectives of a pure mathematician and an applied computer scientist. The synergy between the two complementary perspectives is seen throughout the book; key concepts are motivated and explained through real-world examples, and yet are still formalized with mathematical rigor. The book is an excellent introduction to discrete mathematics for computer science, software engineering, and mathematics students. The first author is a leading mathematician in the area of logic, computability, and theoretical computer science, with more than 25 years of teaching and research experience. The second author is a computer science PhD student at the University of Washington specializing in database systems. The father-and-daughter team merges two different views to create a unified book for students interested in learning discrete mathematics, the connections between discrete mathematics and computer science, and the mathematical foundations of computer science. Readers will learn how to formally define abstract concepts, reason about objects (such as programs, graphs and numbers), investigate properties of algorithms, and prove their correctness. The textbook studies several well-known algorithmic problems including the path problem for graphs and finding the greatest common divisor, inductive definitions, proofs of correctness of algorithms via loop invariants and induction, the basics of formal methods such as propositional logic, finite state machines, counting, probability, as well as the foundations of databases such as relational calculus.
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The Nature of Computation: Logic, Algorithms, Applications

9th Conference on Computability in Europe, CiE 2013, Milan, Italy, July 1-5, 2013, Proceedings

Author: Paola Bonizzoni,Vasco Brattka,Benedikt Löwe

Publisher: Springer

ISBN: 3642390536

Category: Computers

Page: 446

View: 8305

This book constitutes the refereed proceedings of the 9th Conference on Computability in Europe, CiE 2013, held in Milan, Italy, in July 2013. The 48 revised papers presented together with 1 invited lecture and 2 tutorials were carefully reviewed and selected with an acceptance rate of under 31,7%. Both the conference series and the association promote the development of computability-related science, ranging over mathematics, computer science and applications in various natural and engineering sciences such as physics and biology, and also including the promotion of related non-scientific fields such as philosophy and history of computing.
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Principles and Practice of Constraint Programming - CP 2000

6th International Conference, CP 2000 Singapore, September 18-21, 2000 Proceedings

Author: Rina Dechter

Publisher: Springer

ISBN: N.A

Category: Constraint programming (Computer science)

Page: 556

View: 2005

This volume constitutes the refereed proceedings of the 6th International Conference on Principles and Practice of Constraint Programming, CP 2000, held in Singapore in September 2000. The 31 revised full papers and 13 posters presented together with three invited contributions were carefully reviewed and selected from 101 submissions. All current issues of constraint processing, ranging from theoretical and foundational issues to applications in various fields are addressed.
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Choice

A Classified Cumulation : Volumes 1-10, March 1964--February 1974

Author: Richard K. Gardner,Phyllis Grumm

Publisher: N.A

ISBN: N.A

Category: Best books

Page: N.A

View: 2425

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Das BUCH der Beweise

Author: Martin Aigner,Günter M. Ziegler

Publisher: Springer-Verlag

ISBN: 3662577674

Category: Mathematics

Page: 360

View: 9209

Diese fünfte deutsche Auflage enthält ein ganz neues Kapitel über van der Waerdens Permanenten-Vermutung, sowie weitere neue, originelle und elegante Beweise in anderen Kapiteln. Aus den Rezensionen: “... es ist fast unmöglich, ein Mathematikbuch zu schreiben, das von jedermann gelesen und genossen werden kann, aber Aigner und Ziegler gelingt diese Meisterleistung in virtuosem Stil. [...] Dieses Buch erweist der Mathematik einen unschätzbaren Dienst, indem es Nicht-Mathematikern vorführt, was Mathematiker meinen, wenn sie über Schönheit sprechen.” Aus der Laudatio für den “Steele Prize for Mathematical Exposition” 2018 "Was hier vorliegt ist eine Sammlung von Beweisen, die in das von Paul Erdös immer wieder zitierte BUCH gehören, das vom lieben (?) Gott verwahrt wird und das die perfekten Beweise aller mathematischen Sätze enthält. Manchmal lässt der Herrgott auch einige von uns Sterblichen in das BUCH blicken, und die so resultierenden Geistesblitze erhellen den Mathematikeralltag mit eleganten Argumenten, überraschenden Zusammenhängen und unerwarteten Volten." www.mathematik.de, Mai 2002 "Eine einzigartige Sammlung eleganter mathematischer Beweise nach der Idee von Paul Erdös, verständlich geschrieben von exzellenten Mathematikern. Dieses Buch gibt anregende Lösungen mit Aha-Effekt, auch für Nicht-Mathematiker." www.vismath.de "Ein prächtiges, äußerst sorgfältig und liebevoll gestaltetes Buch! Erdös hatte die Idee DES BUCHES, in dem Gott die perfekten Beweise mathematischer Sätze eingeschrieben hat. Das hier gedruckte Buch will eine "very modest approximation" an dieses BUCH sein.... Das Buch von Aigner und Ziegler ist gelungen ..." Mathematische Semesterberichte, November 1999 "Wer (wie ich) bislang vergeblich versucht hat, einen Blick ins BUCH zu werfen, wird begierig in Aigners und Zieglers BUCH der Beweise schmökern." www.mathematik.de, Mai 2002
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Logical and Relational Learning

Author: Luc De Raedt

Publisher: Springer Science & Business Media

ISBN: 3540200401

Category: Computers

Page: 387

View: 1952

This first textbook on multi-relational data mining and inductive logic programming provides a complete overview of the field. It is self-contained and easily accessible for graduate students and practitioners of data mining and machine learning.
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Finite and Algorithmic Model Theory

Author: Javier Esparza,Christian Michaux,Charles Steinhorn

Publisher: Cambridge University Press

ISBN: 0521718201

Category: Computers

Page: 341

View: 4017

Surveys of current research in logical aspects of computer science that apply finite and infinite model-theoretic methods.
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Subject Guide to Books in Print

An Index to the Publishers' Trade List Annual

Author: N.A

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 8589

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Trends in Commutative Algebra

Author: Luchezar L. Avramov

Publisher: Cambridge University Press

ISBN: 0521831954

Category: Mathematics

Page: 254

View: 957

In 2002, an introductory workshop was held at the Mathematical Sciences Research Institute in Berkeley to survey some of the many directions of the commutative algebra field. Six principal speakers each gave three lectures, accompanied by a help session, describing the interaction of commutative algebra with other areas of mathematics for a broad audience of graduate students and researchers. This book is based on those lectures, together with papers from contributing researchers. David Benson and Srikanth Iyengar present an introduction to the uses and concepts of commutative algebra in the cohomology of groups. Mark Haiman considers the commutative algebra of n points in the plane. Ezra Miller presents an introduction to the Hilbert scheme of points to complement Professor Haiman's paper. Further contributors include David Eisenbud and Jessica Sidman; Melvin Hochster; Graham Leuschke; Rob Lazarsfeld and Manuel Blickle; Bernard Teissier; and Ana Bravo.
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Parameterized and Exact Computation

9th International Symposium, IPEC 2014, Wroclaw, Poland, September 10-12, 2014. Revised Selected Papers

Author: Marek Cygan,Pinar Heggernes

Publisher: Springer

ISBN: 3319135244

Category: Computers

Page: 343

View: 1671

This book constitutes the thoroughly refereed post-conference proceedings of the 9th International Symposium on Parameterized and Exact Computation, IPEC 2014, in Wroclaw, Poland, in September 2014. The 27 revised full papers presented together with one invited paper were carefully reviewed and selected from 42 submissions. The topics addressed cover research in all aspects of parameterized/exact algorithms and complexity including but are not limited to new techniques for the design and analysis of parameterized and exact algorithms, fixed-parameter tractability results; parameterized complexity theory, relationship between parameterized complexity and traditional complexity classifications; applications of parameterized and exact exponential-time computation; and implementation issues of parameterized and exact exponential-time algorithms.
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