Manna returned to Israel in 1972 as a professor of applied mathematics at the Weizmann Institute of Science. He became a full professor at Stanford in 1978. He remained affiliated with the Weizmann Institute of Science until 1995. He continued to work as a Stanford professor until retirement in 2010.
Books
He authored nine books. The Mathematical Theory of Computation (McGraw Hill, 1974; reprinted Dover, 2003) is one of the first texts to provide extensive coverage of the mathematical concepts behind computer programming.
With Amir Pnueli, he co-authored an unfinished trilogy of textbooks on temporal logic and verification of reactive systems: The Temporal Logic of Reactive and Concurrent Systems: Specification (Springer-Verlag, 1991), The Temporal Logic of Reactive and Concurrent Systems: Safety (Springer-Verlag, 1995) and The Temporal Logic of Reactive and Concurrent Systems: Progress (unpublished; first three chapters posted at http://theory.stanford.edu/~zm/tvors3.html).
With Aaron R. Bradley he co-authored a textbook, The Calculus of Computation, that serves as an introduction to both first-order logic and formal verification.[2]