Introduction to logic /

This book is a gentle but rigorous introduction to Formal Logic. It is intended primarily for use at the college level. However, it can also be used for advanced secondary school students, and it can be used at the start of graduate school for those who have not yet seen the material. The approach t...

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Bibliographic Details
Main Authors: Genesereth, Michael R., 1948- (Author), Kao, Eric., (Author)
Format: eBook
Language:English
Published: San Rafael, California (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool, 2013.
Edition:Second edition.
Series:Synthesis digital library of engineering and computer science.
Synthesis lectures on computer science ; # 6.
Subjects:
Online Access:View fulltext via EzAccess
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100 1 # |a Genesereth, Michael R.,  |d 1948-  |e author. 
245 1 0 |a Introduction to logic /  |c Michael Genesereth and Eric Kao. 
250 # # |a Second edition. 
264 # 1 |a San Rafael, California (1537 Fourth Street, San Rafael, CA 94901 USA) :  |b Morgan & Claypool,  |c 2013. 
300 # # |a 1 online resource (1 PDF (xi, 151 pages)) :  |b illustrations. 
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490 1 # |a Synthesis lectures on computer science,  |v # 6  |x 1932-1686 ; 
500 # # |a Part of: Synthesis digital library of engineering and computer science. 
500 # # |a Series from website. 
504 # # |a Includes bibliographical references (page 149). 
505 0 # |a Preface -- 1. Introduction -- 1.1 Logic -- 1.2 Elements of logic -- 1.3 Formalization -- 1.4 Automation -- 1.5 Reading guide -- 
505 8 # |a 2. Propositional logic -- 2.1 Introduction -- 2.2 Syntax -- 2.3 Semantics -- 2.4 Satisfaction -- 2.5 Logical properties of propositional sentences -- 2.6 Propositional entailment -- 
505 8 # |a 3. Satisfiability -- 3.1 Introduction -- 3.2 Truth table method -- 3.3 Basic backtracking search -- 3.4 Simplification and unit propagation -- 3.5 DPLL -- 3.6 GSAT -- 
505 8 # |a 4. Propositional proofs -- 4.1 Introduction -- 4.2 Linear proofs -- 4.3 Structured proofs -- 4.4 Fitch -- 4.5 Soundness and completeness -- 
505 8 # |a 5. Propositional resolution -- 5.1 Introduction -- 5.2 Clausal form -- 5.3 Resolution principle -- 5.4 Resolution reasoning -- 
505 8 # |a 6. Relational logic -- 6.1 Introduction -- 6.2 Syntax -- 6.3 Semantics -- 6.4 Example: sorority world -- 6.5 Example: blocks world -- 6.6 Example: modular arithmetic -- 6.7 Example: Peano arithmetic -- 6.8 Example: linked lists -- 6.9 Example: pseudo English -- 6.10 Example: metalevel logic -- 6.11 Properties of sentences in relational logic -- 6.12 Logical entailment -- 6.13 Finite relational logic -- 6.14 Omega relational logic -- 6.15 General relational logic -- 
505 8 # |a 7. Relational logic proofs -- 7.1 Introduction -- 7.2 Proofs -- 7.3 Example -- 7.4 Example -- 7.5 Example -- 
505 8 # |a 8. Resolution -- 8.1 Introduction -- 8.2 Clausal form -- 8.3 Unification -- 8.4 Resolution principle -- 8.5 Resolution reasoning -- 8.6 Unsatisfiability -- 8.7 Logical entailment -- 8.8 Answer extraction -- 8.9 Strategies -- 
505 8 # |a 9. Induction -- 9.1 Introduction -- 9.2 Domain closure -- 9.3 Linear Induction -- 9.4 Tree induction -- 9.5 Structural induction -- 9.6 Multidimensional induction -- 9.7 Embedded induction -- 9.8 Recap -- 
505 8 # |a 10. Equality -- 10.1 Introduction -- 10.2 Properties of equality -- 10.3 Substitution -- 10.4 Fitch with equality -- 10.5 Example, group theory -- 10.6 Recap -- 
505 8 # |a A. Summary of Fitch rules -- Bibliography -- Authors' biographies. 
510 0 # |a Compendex 
510 0 # |a INSPEC 
510 0 # |a Google scholar 
510 0 # |a Google book search 
520 3 # |a This book is a gentle but rigorous introduction to Formal Logic. It is intended primarily for use at the college level. However, it can also be used for advanced secondary school students, and it can be used at the start of graduate school for those who have not yet seen the material. The approach to teaching logic used here emerged from more than 20 years of teaching logic to students at Stanford University and from teaching logic to tens of thousands of others via online courses on the World Wide Web. The approach differs from that taken by other books in logic in two essential ways, one having to do with content, the other with form. Like many other books on logic, this one covers logical syntax and semantics and proof theory plus induction. However, unlike other books, this book begins with Herbrand semantics rather than the more traditional Tarskian semantics. This approach makes the material considerably easier for students to understand and leaves them with a deeper understanding of what logic is all about. 
588 # # |a Title from PDF title page (viewed on September 17, 2013). 
650 # 0 |a Logic. 
650 # 7 |a PHILOSOPHY / Logic  |2 bisacsh 
653 # # |a formal logic 
653 # # |a symbolic logic 
653 # # |a propositional logic 
653 # # |a relational logic 
653 # # |a deduction 
653 # # |a reasoning 
653 # # |a artificial intelligence 
655 # 4 |a Electronic books. 
655 # 0 |a Electronic books. 
700 1 # |a Kao, Eric.,  |e author. 
776 0 8 |i Print version:  |z 9781627052474 
830 # 0 |a Synthesis digital library of engineering and computer science. 
830 # 0 |a Synthesis lectures on computer science ;  |v # 6.  |x 1932-1686 
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