The Calculus of Computation: Decision Procedures with Applications to Verification

Written with graduate and advanced undergraduate students in mind, this textbook introduces computational logic from the foundations of first-order logic to state-of-the-art decision procedures for arithmetic, data structures, and combination theories. The textbook also presents a logical approach to engineering correct software. Verification exercises are given to develop the reader's facility in specifying and verifying software using logic. The treatment of verification concludes with an introduction to the static analysis of software, an important component of modern verification systems. The final chapter outlines courses of further study.

Propositional Logic.- First-Order Logic.- First-Order Theories.- Induction.- Program Correctness: Mechanics.- Program Correctness: Strategies.- Quantified Linear Arithmetic.- Quantifier-Free Linear Arithmetic.- Quantifier-Free Equality and Data Structures.- Combining Decision Procedures.- Arrays.- Invariant Generation.- Further Reading.- References.- Index.