Modelling Puzzles in First Order Logic

2021-10-26
Modelling Puzzles in First Order Logic

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  • Author: Adrian Groza
  • Publisher: Springer Nature
  • ISBN: 3030625478
  • Category : Mathematics
  • Languages : en
  • Pages : 344

Keeping students involved and actively learning is challenging. Instructors in computer science are aware of the cognitive value of modelling puzzles and often use logical puzzles as an efficient pedagogical instrument to engage students and develop problem-solving skills. This unique book is a comprehensive resource that offers teachers and students fun activities to teach and learn logic. It provides new, complete, and running formalisation in Propositional and First Order Logic for over 130 logical puzzles, including Sudoku-like puzzles, zebra-like puzzles, island of truth, lady and tigers, grid puzzles, strange numbers, or self-reference puzzles. Solving puzzles with theorem provers can be an effective cognitive incentive to motivate students to learn logic. They will find a ready-to-use format which illustrates how to model each puzzle, provides running implementations, and explains each solution. This concise and easy-to-follow textbook is a much-needed support tool for students willing to explore beyond the introductory level of learning logic and lecturers looking for examples to heighten student engagement in their computer science courses.

First-order Logic

1995-01-01
First-order Logic

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  • Author: Raymond M. Smullyan
  • Publisher: Courier Corporation
  • ISBN: 9780486683706
  • Category : Mathematics
  • Languages : en
  • Pages : 180

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.

Artificial Intelligence in Education Technologies: New Development and Innovative Practices

2023-11-08
Artificial Intelligence in Education Technologies: New Development and Innovative Practices

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  • Author: Tim Schlippe
  • Publisher: Springer Nature
  • ISBN: 9819979471
  • Category : Education
  • Languages : en
  • Pages : 345

This book is a collection of selected research papers presented at the 2023 4th International Conference on Artificial Intelligence in Education Technology (AIET 2023), held in Berlin, Germany, on June 30 - July 2, 2023. AIET establishes a platform for AI in education researchers to present research, exchange innovative ideas, propose new models, as well as demonstrate advanced methodologies and novel systems. It is a timely and up-to-date publication responsive to the rapid development of AI technologies, practices and their increasingly complex interplay with the education domain. It promotes the cross-fertilisation of knowledge and ideas from researchers in various fields to construct the interdisciplinary research area of AI in Education. These subject areas include computer science, cognitive science, education, learning sciences, educational technology, psychology, philosophy, sociology, anthropology and linguistics. The feature of this book will contribute from diverse perspectives to form a dynamic picture of AI in Education. It also includes various domain-specific areas for which AI and other education technology systems have been designed or used in an attempt to address challenges and transform educational practice. This timely publication is in line with UNESCO’s Beijing Consensus on Artificial Intelligence and Education. It is committed to exploring how AI may play a role in bringing more innovative practices, transforming education, and triggering an exponential leap towards the achievement of the Education 2030 Agenda. Providing broad coverage of recent technology-driven advances and addressing a number of learning-centric themes, the book is an informative and useful resource for researchers, practitioners, education leaders and policy-makers who are involved or interested in AI and education.

Extensions of First-Order Logic

1996-03-29
Extensions of First-Order Logic

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  • Author: Maria Manzano
  • Publisher: Cambridge University Press
  • ISBN: 9780521354356
  • Category : Computers
  • Languages : en
  • Pages : 414

An introduction to many-sorted logic as an extension of first-order logic.

Puzzles and Games: A Mathematical Modeling Approach

2015
Puzzles and Games: A Mathematical Modeling Approach

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  • Author: Tony HÌ_rlimann
  • Publisher: Lulu.com
  • ISBN: 1326430890
  • Category : Mathematical models
  • Languages : en
  • Pages : 398

Beyond First Order Model Theory, Volume I

2017-08-14
Beyond First Order Model Theory, Volume I

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  • Author: Jose Iovino
  • Publisher: CRC Press
  • ISBN: 1315351099
  • Category : Mathematics
  • Languages : en
  • Pages : 456

Model theory is one of the central branches of mathematical logic. The field has evolved rapidly in the last few decades. This book is an introduction to current trends in model theory, and contains a collection of articles authored by top researchers in the field. It is intended as a reference for students as well as senior researchers.

PRICAI 2014: Trends in Artificial Intelligence

2014-11-12
PRICAI 2014: Trends in Artificial Intelligence

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  • Author: Duc-Nghia Pham
  • Publisher: Springer
  • ISBN: 3319135600
  • Category : Computers
  • Languages : en
  • Pages : 1102

This book constitutes the refereed proceedings of the 13th Pacific Rim Conference on Artificial Intelligence, PRICAI 2014, held in Gold Coast, Queensland, Australia, in December 2014. The 74 full papers and 20 short papers presented in this volume were carefully reviewed and selected from 203 submissions. The topics include inference; reasoning; robotics; social intelligence. AI foundations; applications of AI; agents; Bayesian networks; neural networks; Markov networks; bioinformatics; cognitive systems; constraint satisfaction; data mining and knowledge discovery; decision theory; evolutionary computation; games and interactive entertainment; heuristics; knowledge acquisition and ontology; knowledge representation, machine learning; multimodal interaction; natural language processing; planning and scheduling; probabilistic.

A Beginner's Further Guide to Mathematical Logic

2016-11-11
A Beginner's Further Guide to Mathematical Logic

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  • Author: Raymond Smullyan
  • Publisher: World Scientific Publishing Company
  • ISBN: 9814733016
  • Category :
  • Languages : en
  • Pages : 288

This is the final book written by the late great puzzle master and logician, Dr. Raymond Smullyan. This book is a sequel to my Beginner's Guide to Mathematical Logic. The previous volume deals with elements of propositional and first-order logic, contains a bit on formal systems and recursion, and concludes with chapters on Gödel's famous incompleteness theorem, along with related results. The present volume begins with a bit more on propositional and first-order logic, followed by what I would call a "fein" chapter, which simultaneously generalizes some results from recursion theory, first-order arithmetic systems, and what I dub a "decision machine." Then come five chapters on formal systems, recursion theory and metamathematical applications in a general setting. The concluding five chapters are on the beautiful subject of combinatory logic, which is not only intriguing in its own right, but has important applications to computer science. Argonne National Laboratory is especially involved in these applications, and I am proud to say that its members have found use for some of my results in combinatory logic. This book does not cover such important subjects as set theory, model theory, proof theory, and modern developments in recursion theory, but the reader, after studying this volume, will be amply prepared for the study of these more advanced topics. Request Inspection Copy

Formal Ontology in Information Systems

2008
Formal Ontology in Information Systems

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  • Author: Carola Eschenbach
  • Publisher: IOS Press
  • ISBN: 1586039237
  • Category : Computers
  • Languages : en
  • Pages : 340

"Since its start ten years ago, the International Conference in Formal Ontology on Information Systems (FOIS) has explored the multiple perspectives on the notion of ontology that have arisen from such diverse research communities as philosophy, logic, computer science, cognitive science, linguistics, and various scientific domains. As ontologies have been applied in new and exciting domains such as the World Wide Web, bioinformatics, and geographical information systems, it has become evident that there is a need for ontologies that have been developed with solid theoretical foundations based on philosophical, linguistic and logical analysis. Similarly, there is also a need for theoretical research that is driven by the issues that have been raised by recent work in the more applied domains. FOIS is intended to be a forum in which to explore this interplay between the theoretical insights of formal ontology and their application to information systems and emerging semantic technologies. Themes emerging from this volume give a snapshot of current issues within the fields of formal ontology and ontological engineering, as well providing a glimpse of future research directions."--BOOK JACKET.

Pattern-Based Constraint Satisfaction and Logic Puzzles

2021-11-17
Pattern-Based Constraint Satisfaction and Logic Puzzles

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  • Author: Denis Berthier
  • Publisher:
  • ISBN: 9781471785931
  • Category :
  • Languages : en
  • Pages : 0

"Pattern-Based Constraint Satisfaction and Logic Puzzles (Third Edition)" develops a pure logic, pattern-based perspective of solving the finite Constraint Satisfaction Problem (CSP), with emphasis on finding the "simplest" solution. Different ways of reasoning with the constraints are formalised by various families of "resolution rules", each of them carrying its own notion of simplicity. A large part of the book illustrates the power of the approach by applying it to various popular logic puzzles. It provides a unified view of how to model and solve them, even though they involve very different types of constraints: obvious symmetric ones in Sudoku, non-symmetric but transitive ones in Futoshiki, topological and geometric ones in Map colouring, Numbrix and Hidato, non-binary arithmetic ones in Kakuro and both non-binary and non-local ones in Slitherlink. It also shows that the most familiar techniques for these puzzles can be understood as mere application-specific presentations of the general rules. A free companion software (CSP-Rules-V2.1) implementing all the rules and above-mentioned applications is available on GitHub under the GPL license.