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Author : Vincent F. Hendricks
Publisher : Logos Verlag Berlin
Page : 0 pages
File Size : 52,7 Mb
Release : 2004
Category : First-order logic
ISBN : 3832504753
"Proceedings from the conference FOL75 - 75 Years of First-Order Logic held at Humboldt University, Berlin, Germany, September 18 - 21 2003"--Pref.
Author : Daniel Cunningham
Publisher : Walter de Gruyter GmbH & Co KG
Page : 320 pages
File Size : 43,7 Mb
Release : 2023-05-22
Category : Philosophy
ISBN : 9783110782196
Mathematical Logic: An Introduction is a textbook that uses mathematical tools to investigate mathematics itself. In particular, the concepts of proof and truth are examined. The book presents the fundamental topics in mathematical logic and presents clear and complete proofs throughout the text. Such proofs are used to develop the language of propositional logic and the language of first-order logic, including the notion of a formal deduction. The text also covers Tarski’s definition of truth and the computability concept. It also provides coherent proofs of Godel’s completeness and incompleteness theorems. Moreover, the text was written with the student in mind and thus, it provides an accessible introduction to mathematical logic. In particular, the text explicitly shows the reader how to prove the basic theorems and presents detailed proofs throughout the book. Most undergraduate books on mathematical logic are written for a reader who is well-versed in logical notation and mathematical proof. This textbook is written to attract a wider audience, including students who are not yet experts in the art of mathematical proof.
Author : Judit Madarász,Gergely Székely
Publisher : Springer Nature
Page : 517 pages
File Size : 54,6 Mb
Release : 2021-05-31
Category : Philosophy
ISBN : 9783030641870
This book features more than 20 papers that celebrate the work of Hajnal Andréka and István Németi. It illustrates an interaction between developing and applying mathematical logic. The papers offer new results as well as surveys in areas influenced by these two outstanding researchers. They also provide details on the after-life of some of their initiatives. Computer science connects the papers in the first part of the book. The second part concentrates on algebraic logic. It features a range of papers that hint at the intricate many-way connections between logic, algebra, and geometry. The third part explores novel applications of logic in relativity theory, philosophy of logic, philosophy of physics and spacetime, and methodology of science. They include such exciting subjects as time travelling in emergent spacetime. The short autobiographies of Hajnal Andréka and István Németi at the end of the book describe an adventurous journey from electric engineering and Maxwell’s equations to a complex system of computer programs for designing Hungary’s electric power system, to exploring and contributing deep results to Tarskian algebraic logic as the deepest core theory of such questions, then on to applications of the results in such exciting new areas as relativity theory in order to rejuvenate logic itself.
Author : Jose N. Oliveira,Pamela Zave
Publisher : Springer
Page : 634 pages
File Size : 50,6 Mb
Release : 2003-06-29
Category : Computers
ISBN : 9783540452515
FME 2001 is the tenth in a series of meetings organized every eighteen months by Formal Methods Europe (FME), an independent association whose aim is to stimulate the use of, and research on, formal methods for software development. It follows four VDM Europe Symposia, four other Formal Methods Europe S- posia, and the 1999 World Congress on Formal Methods in the Development of Computing Systems. These meetings have been notably successful in bringing - gether a community of users, researchers, and developers of precise mathematical methods for software development. FME 2001 took place in Berlin, Germany and was organized by the C- puter Science Department of the Humboldt-Universit ̈at zu Berlin. The theme of the symposium was Formal Methods for Increasing Software Productivity. This theme recognizes that formal methods have the potential to do more for industrial software development than enhance software quality { they can also increase productivity at many di erent points in the software life-cycle. The importance of the theme is borne out by the many contributed papers showing how formal methods can make software development more e cient. There is an emphasis on tools that nd errors automatically, or with relatively little human e ort. There is also an emphasis on the use of formal methods to assist with critical, labor-intensive tasks such as program design and test-case generation.
Author : Jan Woleński
Publisher : Springer Nature
Page : 392 pages
File Size : 42,7 Mb
Release : 2020-01-01
Category : Philosophy
ISBN : 9783030245368
The book provides a historical (with an outline of the history of the concept of truth from antiquity to our time) and systematic exposition of the semantic theory of truth formulated by Alfred Tarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two different, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostly as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas (pro and contra) as well as points out various applications of the semantic theory of truth to philosophical problems (truth-criteria, realism and anti-realism, future contingents or the concept of correspondence between language and reality).
Author : Martin Grohe,Johann A. Makowsky
Publisher : American Mathematical Soc.
Page : 529 pages
File Size : 46,8 Mb
Release : 2011-11-28
Category : Mathematics
ISBN : 9780821849439
This volume contains the proceedings of the AMS-ASL Special Session on Model Theoretic Methods in Finite Combinatorics, held January 5-8, 2009, in Washington, DC. Over the last 20 years, various new connections between model theory and finite combinatorics emerged. The best known of these are in the area of 0-1 laws, but in recent years other very promising interactions between model theory and combinatorics have been developed in areas such as extremal combinatorics and graph limits, graph polynomials, homomorphism functions and related counting functions, and discrete algorithms, touching the boundaries of computer science and statistical physics. This volume highlights some of the main results, techniques, and research directions of the area. Topics covered in this volume include recent developments on 0-1 laws and their variations, counting functions defined by homomorphisms and graph polynomials and their relation to logic, recurrences and spectra, the logical complexity of graphs, algorithmic meta theorems based on logic, universal and homogeneous structures, and logical aspects of Ramsey theory.
Author : Lars Arge,Christian Cachin,Tomasz Jurdzinski
Publisher : Springer
Page : 958 pages
File Size : 51,5 Mb
Release : 2007-08-26
Category : Computers
ISBN : 9783540734208
This volume features the refereed proceedings from the 34th International Colloquium on Automata, Languages and Programming, held in Wroclaw, Poland in July 2007. Seventy-six full papers are presented, together with four invited lectures. The papers are grouped into three major tracks covering algorithms, automata, complexity, and games; logic, semantics, and theory of programming; and security and cryptography foundations.
Author : José Luiz Fiadeiro,Pierre-Yves Schobbens
Publisher : Springer
Page : 174 pages
File Size : 53,5 Mb
Release : 2007-06-20
Category : Computers
ISBN : 9783540719984
This book constitutes the thoroughly refereed postproceedings of the 18th International Workshop on Algebraic Development Techniques, WADT 2006, held in La Roche en Ardenne, Belgium, June 2006. The 10 revised full papers focus on the algebraic approach to the specification and development of systems and address topics such as formal methods for system development, specification languages and methods, and distributed and mobile systems.
Author : George Boolos,Richard C. Jeffrey
Publisher : CUP Archive
Page : 284 pages
File Size : 51,9 Mb
Release : 1974-07-18
Category : Mathematics
ISBN : 052120402X
Author : Ning Zhong,Setsuo Ohsuga
Publisher : Springer
Page : 566 pages
File Size : 52,7 Mb
Release : 2004-06-22
Category : Mathematics
ISBN : 9783540480617
This book constitutes the refereed proceedings of the 7th International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, RSFDGrC'99, held in Yamaguchi, Japan, in November 1999. The 45 revised regular papers and 15 revised short papers presented together with four invited contributions were carefully reviewed and selected from 89 submissions. The book is divided into sections on rough computing: foundations and applications, rough set theory and applications, fuzzy set theory and applications, nonclassical logic and approximate reasoning, information granulation and granular computing, data mining and knowledge discovery, machine learning, and intelligent agents and systems.
Author : Alexander Hieke,Hannes Leitgeb
Publisher : Walter de Gruyter
Page : 432 pages
File Size : 51,7 Mb
Release : 2013-05-02
Category : Philosophy
ISBN : 9783110328875
Philosophers often have tried to either reduce "disagreeable" objects or concepts to (more) acceptable objects or concepts. Reduction is regarded attractive by those who subscribe to an ideal of ontological parsimony. But the topic is not just restricted to traditional metaphysics or ontology. In the philosophy of mathematics, abstraction principles, such as Hume's principle, have been suggested to support a reconstruction of mathematics by logical means only. In the philosophy of language and the philosophy of science, the logical analysis of language has long been regarded to be the dominating paradigm, and liberalized projects of logical reconstruction remain to be driving forces of modern philosophy. This volume collects contributions comprising all those topics, including articles by Alexander Bird, Jaakko Hintikka, James Ladyman, Rohit Parikh, Gerhard Schurz, Peter Simons, Crispin Wright and Edward N. Zalta.
Author : Andreas S. Schulz,Dorothea Wagner
Publisher : Springer
Page : 876 pages
File Size : 45,7 Mb
Release : 2014-08-16
Category : Computers
ISBN : 9783662447772
This book constitutes the refereed proceedings of the 22st Annual European Symposium on Algorithms, ESA 2014, held in Wrocław, Poland, in September 2014, as part of ALGO 2014. The 69 revised full papers presented were carefully reviewed and selected from 269 initial submissions: 57 out of 221 in Track A, Design and Analysis, and 12 out of 48 in Track B, Engineering and Applications. The papers present original research in the areas of design and mathematical analysis of algorithms; engineering, experimental analysis, and real-world applications of algorithms and data structures.
Author : Raymond R. Smullyan
Publisher : Springer Science & Business Media
Page : 167 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642867187
Except for this preface, this study is completely self-contained. It is intended to serve both as an introduction to Quantification Theory and as an exposition of new results and techniques in "analytic" or "cut-free" methods. We use the term "analytic" to apply to any proof procedure which obeys the subformula principle (we think of such a procedure as "analysing" the formula into its successive components). Gentzen cut-free systems are perhaps the best known example of ana lytic proof procedures. Natural deduction systems, though not usually analytic, can be made so (as we demonstrated in [3]). In this study, we emphasize the tableau point of view, since we are struck by its simplicity and mathematical elegance. Chapter I is completely introductory. We begin with preliminary material on trees (necessary for the tableau method), and then treat the basic syntactic and semantic fundamentals of propositional logic. We use the term "Boolean valuation" to mean any assignment of truth values to all formulas which satisfies the usual truth-table conditions for the logical connectives. Given an assignment of truth-values to all propositional variables, the truth-values of all other formulas under this assignment is usually defined by an inductive procedure. We indicate in Chapter I how this inductive definition can be made explicit-to this end we find useful the notion of a formation tree (which we discuss earlier).
Author : Julian Bradfield
Publisher : Springer
Page : 628 pages
File Size : 46,9 Mb
Release : 2003-08-02
Category : Computers
ISBN : 9783540457930
The Annual Conference of the European Association for Computer Science Logic, CSL 2002, was held in the Old College of the University of Edinburgh on 22–25 September 2002. The conference series started as a programme of Int- national Workshops on Computer Science Logic, and then in its sixth meeting became the Annual Conference of the EACSL. This conference was the sixteenth meeting and eleventh EACSL conference; it was organized by the Laboratory for Foundations of Computer Science at the University of Edinburgh. The CSL 2002 Programme Committee considered 111 submissions from 28 countries during a two week electronic discussion; each paper was refereed by at least three reviewers. The Committee selected 37 papers for presentation at the conference and publication in these proceedings. The Programme Committee invited lectures from Susumu Hayashi, Frank Neven, and Damian Niwinski; ́ the papers provided by the invited speakers appear at the front of this volume. In addition to the main conference, two tutorials – ‘Introduction to Mu- Calculi’ (Julian Brad?eld) and ‘Parametrized Complexity’ (Martin Grohe) – were given on the previous day.
Author : Stanisław Krajewski,Stephen Krajewski
Publisher : IOS Press
Page : 380 pages
File Size : 55,6 Mb
Release : 2007
Category : Mathematics
ISBN : 1586038141
This volume honors Professor Andrzej Grzegorczyk, the nestor of Polish logicians, on his 85th anniversary. The editors would like to express the respect and sympathy they have for him. His textbook The Outline of Mathematical Logic has been published in many editions and translated into several languages. It was this textbook that introduced many of us into the world of mathematical logic. Professor Grzegorczyk has made fundamental contributions to logic and to philosophy. His results, mainly on hierarchy of primitive recursive functions, known as the Grzegorczyk hierarchy, are of fundamental importance to theoretical computer science. In particular, they were precursory for the computational complexity theory. The editors would like to stress that this special publication celebrates a scientist who is still actively pursuing genuinely innovative directions of research. Quite recently, Andrzej Grzegorczyk gave a new proof of undecidability of the first order functional calculus. His proof does not use the arithmetization of Kurt Gödel. In recognition of his merits, the University of Clermont-Ferrand conferred to Professor Andrzej Grzegorczyk the Doctorat Honoris Causa. The work and life of Professor Andrzej Grzegorczyk is presented in the article by Professors Stanislaw Krajewski and Jan Wolenski. The papers in this collection have been submitted on invitational basis.
