Elementary Logic with Applications A Procedural Perspective for Computer Scientists 1st Edition by Gabbay, Rodrigues ISBN 1848902255 9781848902251

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ISBN 10: 1848902255
ISBN 13: 9781848902251
Author: Gabbay, Rodrigues
Elementary Logic with Applications is written for undergraduate logic and logic programming courses. Logic has been applied to a wide variety of subjects such as software engineering and hardware design, to programming and artificial intelligence. In this way, it has served to stimulate the search for clear conceptual foundations.

Recently many extensions of classical logic such as temporal, modal, relevance, fuzzy and non-monotonic logics have been widely used in computer science, therefore requiring a new formulation of classic logic which can be modified to yield the effect of non-classical logics.

This text aims to introduce classical logic in such a way that one can easily deviate into discussing non-classical logics. It defines a number of different types of logics and the differences between them, starting with the basic notions of the most common logic.

Elementary Logic with Applications develops a theorem prover for classical logic in a way that maintains a procedural point of view and presents the reader with the real challenges facing applied logic.

Dov Gabbay and Odinaldo Rodrigues have been teaching logic and computer science for many years. Dov Gabbay has written numerous other titles on the subject of logic and is a world authority on non-classical logics. Odinaldo Rodrigues is widely known for his work on logic, belief revision and argumentation.

The “Elementary Logic with Applications” course is currently taught at the Department of Informatics, King’s College London.

Elementary Logic with Applications A Procedural Perspective for Computer Scientists 1st Edition Table of contents:

Chapter 1: Introduction to Logic

• What is Logic?
• Historical Overview and Evolution of Logic
• Logic in Computer Science: Importance and Applications
• Propositional Logic and Its Syntax

Chapter 2: Logical Operators and Truth Tables

• Basic Logical Connectives
• Constructing and Interpreting Truth Tables
• Truth Table Analysis for Logical Expressions
• Logical Equivalence and Tautologies

Chapter 3: Rules of Inference

• Introduction to Inference in Logic
• Deductive and Inductive Reasoning
• Common Rules of Inference: Modus Ponens, Modus Tollens, etc.
• Formal Proof Systems and Their Applications

Chapter 4: Predicate Logic and Quantifiers

• Syntax and Semantics of Predicate Logic
• Universal and Existential Quantifiers
• Translating Natural Language into Predicate Logic
• The Role of Quantifiers in Computer Science

Chapter 5: Logical Proofs and Formal Systems

• Formal Systems and Their Structure
• Proofs by Contradiction and Induction
• Constructing and Validating Logical Proofs
• The Role of Proofs in Algorithms and Computation

Chapter 6: Applications of Logic in Computer Science

• Logic in Algorithms and Data Structures
• Logic and Computation: Theoretical Models
• Logic in Artificial Intelligence
• Logic Programming Languages: Prolog and Others

Chapter 7: Propositional and Predicate Logic in Computing

• Implementing Propositional Logic in Software
• Predicate Logic and Relational Databases
• Boolean Algebra and Its Computational Uses
• Circuit Design and Logical Gates

Chapter 8: Automated Theorem Proving and Logic Systems

• The Basics of Automated Theorem Proving
• Logic Systems for Automated Reasoning
• Applications of Automated Theorem Proving in Computer Science
• Challenges and Future of Automated Logic Systems

Chapter 9: Non-Classical Logics

• Introduction to Non-Classical Logics
• Modal Logic, Fuzzy Logic, and Temporal Logic
• Applications of Non-Classical Logics in Computer Science
• Comparison with Classical Logical Systems

Chapter 10: Advanced Topics in Logic for Computer Science

• Category Theory and Logic in Computer Science
• Logic and Computational Complexity
• Logical Foundations of Programming Languages
• Logics in Cryptography and Security

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Conclusion

• Summary of Key Concepts in Logic for Computer Science
• Future Trends in Logic and Computing
• Applications of Logic Beyond Computer Science

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