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Author : Maria Manzano
Publisher : Cambridge University Press
Page : 414 pages
File Size : 42,7 Mb
Release : 1996-03-29
Category : Computers
ISBN : 0521354358
An introduction to many-sorted logic as an extension of first-order logic.
Author : Zoran Majkic
Publisher : Walter de Gruyter GmbH & Co KG
Page : 425 pages
File Size : 53,6 Mb
Release : 2022-09-06
Category : Computers
ISBN : 9783110981469
This book introduces the properties of conservative extensions of First Order Logic (FOL) to new Intensional First Order Logic (IFOL). This extension allows for intensional semantics to be used for concepts, thus affording new and more intelligent IT systems. Insofar as it is conservative, it preserves software applications and constitutes a fundamental advance relative to the current RDB databases, Big Data with NewSQL, Constraint databases, P2P systems, and Semantic Web applications. Moreover, the many-valued version of IFOL can support the AI applications based on many-valued logics.
Author : Shawn Hedman
Publisher : OUP Oxford
Page : 452 pages
File Size : 43,5 Mb
Release : 2004-07-08
Category : Mathematics
ISBN : 9780191586774
The ability to reason and think in a logical manner forms the basis of learning for most mathematics, computer science, philosophy and logic students. Based on the author's teaching notes at the University of Maryland and aimed at a broad audience, this text covers the fundamental topics in classical logic in an extremely clear, thorough and accurate style that is accessible to all the above. Covering propositional logic, first-order logic, and second-order logic, as well as proof theory, computability theory, and model theory, the text also contains numerous carefully graded exercises and is ideal for a first or refresher course.
Author : Alexandra Silva,Renata Wassermann,Ruy de Queiroz
Publisher : Springer Nature
Page : 435 pages
File Size : 43,7 Mb
Release : 2021-10-05
Category : Philosophy
ISBN : 9783030888534
Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 27th Workshop on Logic, Language, Information and Communication, WoLLIC 2021, Virtual Event, in October 2021. The 25 full papers presented included 6 invited lectures were fully reviewed and selected from 50 submissions. The idea is to have a forum which is large enough in the number of possible interactions between logic and the sciences related to information and computation.
Author : Zoran Ognjanović
Publisher : Springer Nature
Page : 238 pages
File Size : 40,6 Mb
Release : 2020-07-17
Category : Computers
ISBN : 9783030529543
The contributions in this book survey results on combinations of probabilistic and various other classical, temporal and justification logical systems. Formal languages of these logics are extended with probabilistic operators. The aim is to provide a systematic overview and an accessible presentation of mathematical techniques used to obtain results on formalization, completeness, compactness and decidability. The book will be of value to researchers in logic and it can be used as a supplementary text in graduate courses on non-classical logics.
Author : John Pollock
Publisher : Routledge
Page : 126 pages
File Size : 52,5 Mb
Release : 2019-09-05
Category : Philosophy
ISBN : 9781000314014
This book introduces the technical tools and concepts that are indispensable for advanced work in philosophy. Beginning with the fundamentals of set theory, the author guides the reader through relations, functions and the theory of arithmetic before using these tools to clarify the metatheory of the predicate calculus. There are discussions of recursive definitions, Godel's Theorem, and completeness for the predicate calculus. The text emphasizes the structure of these systems and the metatheory behind them.
Author : H.-D. Ebbinghaus,J. Flum,Wolfgang Thomas
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 48,9 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475723557
This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. It covers several advanced topics not commonly treated in introductory texts, such as Fraïssé's characterization of elementary equivalence, Lindström's theorem on the maximality of first-order logic, and the fundamentals of logic programming.
Author : Jean-Yves Beziau
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 41,8 Mb
Release : 2007-08-08
Category : Mathematics
ISBN : 9783764383541
Universal Logic is not a new logic, but a general theory of logics, considered as mathematical structures. The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic. It was revived after the flowering of thousands of new logics during the last thirty years: there was a need for a systematic theory of logics to put some order in this chaotic multiplicity. The present book contains recent works on universal logic by first-class researchers from all around the world. The book is full of new and challenging ideas that will guide the future of this exciting subject. It will be of interest for people who want to better understand what logic is. It will help those who are lost in the jungle of heterogeneous logical systems to find a way. Tools and concepts are provided here for those who want to study classes of already existing logics or want to design and build new ones.
Author : Martin Otto
Publisher : Cambridge University Press
Page : 194 pages
File Size : 44,8 Mb
Release : 2017-03-02
Category : Mathematics
ISBN : 9781107167940
This study introduces some central ideas and lines of research in finite model theory - particularly bounded variable infinitary logics - and explores the fruitful exchange between ideas from logic and from complexity theory that is characteristic of finite model theory.
Author : Raymond M. Smullyan
Publisher : Courier Corporation
Page : 180 pages
File Size : 54,5 Mb
Release : 1995-01-01
Category : Mathematics
ISBN : 0486683702
Considered the best book in the field, this completely self-contained study is both an introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods. The focus in on the tableau point of view. Topics include trees, tableau method for propositional logic, Gentzen systems, more. Includes 144 illustrations.
Author : Guillermo E. Rosado Haddock
Publisher : Walter de Gruyter
Page : 471 pages
File Size : 42,6 Mb
Release : 2013-05-02
Category : Philosophy
ISBN : 9783110322002
The present collection of seventeen papers, most of them already published in international philosophical journals, deals both with issues in the philosophy of logic, the philosophy of mathematics, the philosophy of language and epistemology. The first part contains critical assessments and somewhat deviant renderings of the work of two seminal philosophers, Frege and Husserl, as well as of the young Carnap and Kripke. The second part contains analyses of central issues in the philosophy of logic, the philosophy of mathematics and semantics, including arguments on behalf of Platonism in the philosophy of mathematics, a defense of second-order logic, a new definition of analyticity, a sketch of a semantics for mathematical statements and a critique of Kripke’s possible world semantics for modal logic.
Author : José Bacelar Almeida,Maria João Frade,Jorge Sousa Pinto,Simão Melo de Sousa
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 47,8 Mb
Release : 2011-01-04
Category : Computers
ISBN : 9780857290182
The use of mathematical methods in the development of software is essential when reliable systems are sought; in particular they are now strongly recommended by the official norms adopted in the production of critical software. Program Verification is the area of computer science that studies mathematical methods for checking that a program conforms to its specification. This text is a self-contained introduction to program verification using logic-based methods, presented in the broader context of formal methods for software engineering. The idea of specifying the behaviour of individual software components by attaching contracts to them is now a widely followed approach in program development, which has given rise notably to the development of a number of behavioural interface specification languages and program verification tools. A foundation for the static verification of programs based on contract-annotated routines is laid out in the book. These can be independently verified, which provides a modular approach to the verification of software. The text assumes only basic knowledge of standard mathematical concepts that should be familiar to any computer science student. It includes a self-contained introduction to propositional logic and first-order reasoning with theories, followed by a study of program verification that combines theoretical and practical aspects - from a program logic (a variant of Hoare logic for programs containing user-provided annotations) to the use of a realistic tool for the verification of C programs (annotated using the ACSL specification language), through the generation of verification conditions and the static verification of runtime errors.
Author : C. Maria Keet
Publisher : Unknown
Page : 344 pages
File Size : 40,8 Mb
Release : 2018-11-07
Category : Computer software
ISBN : 1848902956
An Introduction to Ontology Engineering introduces the student to a comprehensive overview of ontology engineering, and offers hands-on experience that illustrate the theory. The topics covered include: logic foundations for ontologies with languages and automated reasoning, developing good ontologies with methods and methodologies, the top-down approach with foundational ontologies, and the bottomup approach to extract content from legacy material, and a selection of advanced topics that includes Ontology-Based Data Access, the interaction between ontologies and natural languages, and advanced modelling with fuzzy and temporal ontologies. Each chapter contains review questions and exercises, and descriptions of two group assignments are provided as well. The textbook is aimed at advanced undergraduate/postgraduate level in computer science and could fi t a semester course in ontology engineering or a 2-week intensive course. Domain experts and philosophers may fi nd a subset of the chapters of interest, or work through the chapters in a different order. Maria Keet is an Associate Professor with the Department of Computer Science, University of Cape Town, South Africa. She received her PhD in Computer Science in 2008 at the KRDB Research Centre, Free University of Bozen-Bolzano, Italy. Her research focus is on knowledge engineering with ontologies and Ontology, and their interaction with natural language and conceptual data modelling, which has resulted in over 100 peer-reviewed publications. She has developed and taught multiple courses on ontology engineering and related courses at various universities since 2009.
Author : J. Henno
Publisher : IOS Press
Page : 356 pages
File Size : 45,5 Mb
Release : 2006-02-06
Category : Computers
ISBN : 9781607501626
The number of abstraction levels of information, the size of databases and knowledge bases and the amount and complexity of information stored in WWW are continuously growing. The aim of this series of Information Modelling and Knowledge Bases is to bring together experts from different areas who have a common interest in understanding and solving problems of information modelling and knowledge bases, as well as applying the results of research into practice. We aim at recognizing and pursuing research on new topics in the area of information modelling and knowledge bases, but also in connected areas in philosophy and logic, cognitive science, knowledge management, linguistics, multimedia, theory and practice of semantic web, software engineering and business management. The papers in this book present a valuable advancement in the area of information modelling and knowledge bases research and practice.
Author : María Manzano
Publisher : Oxford University Press
Page : 268 pages
File Size : 55,7 Mb
Release : 1999
Category : Computers
ISBN : 0198538510
Model theory, which is concerned with the relationship between mathematical structures and logic, now has a wide range of applications in areas such as computing, philosophy, and linguistics. This book, suitable for both mathematicians and students from outside the field, provides a clear and readable introduction to the subject.
