Decision Procedures

and Basic Concepts.- Decision Procedures for Propositional Logic.- Equality Logic and Uninterpreted Functions.- Decision Procedures for Equality Logic and Uninterpreted Functions.- Linear Arithmetic.- Bit Vectors.- Arrays.- Pointer Logic.- Quantified Formulas.- Deciding a Combination of Theories.- Propositional Encodings.

From the reviews:

"The topic of this book is decision procedures for first-order theories ... . it is one of the first to capture the essential concepts of SMT in a book. ... relevant to those wishing to understand the area today. ... the book more accessible to those without a strong background in mathematical logic." (Clark Barrett, Journal of Automated Reasoning, Vol. 51, 2013)

"This book is a developed version of classroom notes for a course on decision procedures, intended for undergraduate and graduate students ... . The developments are intended for programmers who need to know about the algorithms that solve their particular problems, as well as for students and researchers who need to know how to define such algorithms in the framework of appropriate logics. ... Overall, the book is well structured ... ." (Siva Anantharaman, Mathematical Reviews, Issue 2009 m)

"There are a number of things that I like about the book. Although the material is often complex, the exposition is extremely clear, precise and meticulous. A definition is almost always followed by a clarifying example. As noted above, Kroening and Strichman go to great efforts to explain the notations used. In fact, I'd be hard pressed to think of another text on an advanced subject that does so much to make the material accessible to the reader." (K. Harrow, ACM Computing Reviews, September, 2008)

"This book has two topics as main points: 'decision procedures' and 'algorithms to be applied for these decisions'. ... Such an approach is very useful for graduate students or students in year four or five ... . Each chapter introduces and explains a lot of different concepts and presents good examples, some problems and exercises with algorithm-based solutions, and a glossary at its end, which makes the book very applicable and readable. ... The book is very well written and interesting to read." (ChristianPosthoff, Zentralblatt MATH, Vol. 1149, 2008)

From the reviews:“The topic of this book is decision procedures for first-order theories … . it is one of the first to capture the essential concepts of SMT in a book. … relevant to those wishing to understand the area today. … the book more accessible to those without a strong background in mathematical logic.” (Clark Barrett, Journal of Automated Reasoning, Vol. 51, 2013)"This book is a developed version of classroom notes for a course on decision procedures, intended for undergraduate and graduate students … . The developments are intended for programmers who need to know about the algorithms that solve their particular problems, as well as for students and researchers who need to know how to define such algorithms in the framework of appropriate logics. … Overall, the book is well structured … ." (Siva Anantharaman, Mathematical Reviews, Issue 2009 m)"There are a number of things that I like about the book. Although the material is often complex, the exposition is extremely clear, precise and meticulous. A definition is almost always followed by a clarifying example. As noted above, Kroening and Strichman go to great efforts to explain the notations used. In fact, I'd be hard pressed to think of another text on an advanced subject that does so much to make the material accessible to the reader." (K. Harrow, ACM Computing Reviews, September, 2008)"This book has two topics as main points: ‘decision procedures’ and ‘algorithms to be applied for these decisions’. … Such an approach is very useful for graduate students or students in year four or five … . Each chapter introduces and explains a lot of different concepts and presents good examples, some problems and exercises with algorithm-based solutions, and a glossary at its end, which makes the book very applicable and readable. … The book is very well written and interesting to read." (ChristianPosthoff, Zentralblatt MATH, Vol. 1149, 2008)