This book presents an up-to-date, unified treatment of research in bounded arithmetic and complexity of propositional logic with emphasis on independence proofs and lower bound proofs. The author ...

While the approach is unique, the text follows the same set of topics typically covered in a one-semester undergraduate course, including propositional logic and first-order predicate logic, ...

Ever since modern symbolic logic was consolidated (in the mid 1900s), the standard format for an introductory logic class has been to learn the classical predicate calculus in three steps: ...

How can one demonstrate that an argument or inference is valid? How can one demonstrate that an argument or inference is not valid? The course begins with a simple system called sentential or ...

Presents propositional logic, combinatorics, methods of proof, mathematical systems, algebra of sets, matrix algebra, relations and functions, recursion and generating functions, applications to ...