Extensions of First-Order Logic
Author: Maria Manzano
Publisher: Cambridge University Press
Published: 1996-03-29
Total Pages: 414
ISBN-13: 9780521354356
DOWNLOAD EBOOK →An introduction to many-sorted logic as an extension of first-order logic.
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Intensional First-Order Logic
Author: Zoran Majkic
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2022-09-06
Total Pages: 425
ISBN-13: 3110981467
DOWNLOAD EBOOK →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.
Mathematical Logic
Author: H.-D. Ebbinghaus
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 290
ISBN-13: 1475723555
DOWNLOAD EBOOK →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.
A First Course in Logic
Author: Shawn Hedman
Publisher: OUP Oxford
Published: 2004-07-08
Total Pages: 452
ISBN-13: 0191586773
DOWNLOAD EBOOK →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.
An Introduction to Ontology Engineering
Author: C. Maria Keet
Publisher:
Published: 2018-11-07
Total Pages: 344
ISBN-13: 9781848902954
DOWNLOAD EBOOK →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.
Foundations without Foundationalism
Author: Stewart Shapiro
Publisher: Clarendon Press
Published: 1991-09-19
Total Pages: 302
ISBN-13: 0191524018
DOWNLOAD EBOOK →The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develop the argument fully, the author presents a detailed development of higher-order logic, including a comprehensive discussion of its semantics. Professor Shapiro demonstrates the prevalence of second-order notions in mathematics is practised, and also the extent to which mathematical concepts can be formulated in second-order languages . He shows how first-order languages are insufficient to codify many concepts in contemporary mathematics, and thus that higher-order logic is needed to fully reflect current mathematics. Throughout, the emphasis is on discussing the philosophical and historical issues associated with this subject, and the implications that they have for foundational studies. For the most part, the author assumes little more than a familiarity with logic as might be gained from a beginning graduate course which includes the incompleteness of arithmetic and the Lowenheim-Skolem theorems. All those concerned with the foundations of mathematics will find this a thought-provoking discussion of some of the central issues in this subject.
Logic, Language, Information, and Computation
Author: Alexandra Silva
Publisher: Springer Nature
Published: 2021-10-05
Total Pages: 435
ISBN-13: 3030888533
DOWNLOAD EBOOK →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.
Probabilistic Extensions of Various Logical Systems
Author: Zoran Ognjanović
Publisher: Springer Nature
Published: 2020-07-17
Total Pages: 238
ISBN-13: 3030529541
DOWNLOAD EBOOK →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.
First-Order Dynamic Logic
Author: D. Harel
Publisher:
Published: 2014-01-15
Total Pages: 152
ISBN-13: 9783662174500
DOWNLOAD EBOOK →Fundamentals of Computation Theory
Author: Evripidis Bampis
Publisher: Springer
Published: 2021-09-12
Total Pages: 476
ISBN-13: 9783030865924
DOWNLOAD EBOOK →This book constitutes the proceedings of the 23rd International Symposium on Fundamentals of Computation Theory, FCT 2021, held in Athens, Greece, in September 2021. The 30 full papers included in this volume were carefully reviewed and selected from 94 submissions. In addition, the book contains 2 invited talks. The papers cover topics of all aspects of theoretical computer science, in particular algorithms, complexity, formal and logical methods.
