Mathematical Logic for Computer Science is a mathematics textbook
with theorems and proofs, but the choice of topics has been guided
by the needs of students of computer science. The method of
semantic tableaux provides an elegant way to teach logic that is
both theoretically sound and easy to understand. The uniform use of
tableaux-based techniques facilitates learning advanced logical
systems based on what the student has learned from elementary
systems. The logical systems presented are: propositional logic,
first-order logic, resolution and its application to logic
programming, Hoare logic for the verification of sequential
programs, and linear temporal logic for the verification of
concurrent programs. The third edition has been entirely rewritten
and includes new chapters on central topics of modern computer
science: SAT solvers and model checking.
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