## Abstract

This book is about program verification, with a special emphasis on verification of concurrent programs. Concurrent programs are usually difficult to design, and errors are more a rule than an exception. Consider, for example, the following simple problem.

## Keywords

Temporal Logic Parallel Program Proof System Parallel Composition Sequential Program
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## References

- [ABS89]M. Aspnäs, R.J.R. Back, and K. Sere. The Hathi project: a project on parallel programming technology. Technical Report Ser. A, No 95, Departments of Computer Science and Mathematics, Abo Akademi, Finland, 1989.Google Scholar
- [AFR80]K.R. Apt, N. Francez, and W.P. de Roever. A proof system for communicating sequential processes.
*ACM Transactions on Programming Languages and Systems*, 2 (3): 359–385, 1980.zbMATHCrossRefGoogle Scholar - [AM71]E. Ashcroft and Z. Manna Formalization of properties of parallel programs
*Machine Intelligence*, 6: 17–41, 1971.MathSciNetzbMATHGoogle Scholar - [AO83]K.R. Apt and E.-R. Olderog. Proof rules and transformations dealing with fairness.
*Science of Computer Programming*, 3: 65100, 1983.MathSciNetCrossRefGoogle Scholar - [Apt86]K.R. Apt. Correctness proofs of distributed termination algorithms.
*ACM Transactions on Programming Languages and Systems*, 8: 388–405, 1986.zbMATHCrossRefGoogle Scholar - [Bac86]R.C. Backhouse.
*Program Construction and Verification*. Prentice-Hall International, Englewood Cliffs, NJ, 1986.Google Scholar - Bac89] R.J.R. Back. A method for refining atomicity in parallel algorithms. In
*PARLE Conference on Parallel Architectures and Languages Europe*,pages 199–216, New York, 1989. Lecture Notes in Computer Science 366, Springer-Verlag.Google Scholar - [BK84]J.A. Bergstra and J.W. Klop. Process algebra for synchronous communication.
*Information and Control*, 60: 109–137, 1984.MathSciNetzbMATHCrossRefGoogle Scholar - [BK85]J.A. Bergstra and J.W. Klop. Algebra of communicating processes with abstraction.
*Theoretical Computer Science*, 37: 77121, 1985.MathSciNetCrossRefGoogle Scholar - [BK86]J.A. Bergstra and J.W. Klop. Algebra of communicating processes. In J.W. de Bakker, M. Hazewinkel, and J.K. Lenstra, editors,
*Proceedings CWI Symposium on Mathematics and Computer Science*, pages 89–138, Amsterdam, 1986. North-Holland.Google Scholar - [CM88]K.M. Chandy and J. Misra.
*Parallel Program Design: A Foundation*. Addison-Wesley, New York, 1988.zbMATHGoogle Scholar - CPS90] R. Cleaveland, J.G. Parrow, and B. Steffen. The concurrency workbench. In J. Sifakis, editor,
*Proceedings Workshop on Automatic Verification Methods for Finite State Systems*,pages 2437, New York, 1990. Lecture Notes in Computer Science 407, Springer-Verlag.Google Scholar - [Dij75]E.W. Dijkstra. Guarded commands, nondeterminacy and formal derivation of programs
*Communications of the ACM*, 18: 453457, 1975.MathSciNetGoogle Scholar - [Dij76]E.W. Dijkstra. A
*Discipline of Programming*. Prentice-Hall, Englewood Cliffs, N.J., 1976.zbMATHGoogle Scholar - [EC82]E.A. Emerson and E.M. Clarke. Using branching time temporal logic to synthesize synchronization skeletons.
*Science of Computer Programming*, 2 (3): 241–266, 1982.zbMATHCrossRefGoogle Scholar - [F1o67]R. Floyd. Assigning meaning to programs. In J.T. Schwartz, editor,
*Proceedings of Symposium on Applied Mathematics**19*,*Mathematical Aspects of Computer Science*, pages 19–32, American Mathematical Society, New York, 1967.Google Scholar - [FS81]L. Flon and N. Suzuki. The total correctness of parallel programs.
*SIAM Journal on Computing*, pages 227–246, 1981.Google Scholar - [Gri81]D. Gries.
*The Science of Programming*. Springer-Verlag, New York, 1981.zbMATHCrossRefGoogle Scholar - [Hoa69]C.A.R. Hoare. An axiomatic basis for computer programming.
*Communications of the ACM*, 12: 576–580, 583, 1969.Google Scholar - [Hoa75]C.A.R. Hoare. Parallel programming• an axiomatic approach.
*Computer Languages*, 1: 151–160, 1975.zbMATHCrossRefGoogle Scholar - [Hoa78]C.A.R. Hoare. Communicating sequential processes.
*Communications of the ACM*, 21: 666–677, 1978.zbMATHCrossRefGoogle Scholar - [Hoa85]C.A.R. Hoare.
*Communicating Sequential Processes*. Prentice-Hall International, Englewood Cliffs, NJ, 1985.zbMATHGoogle Scholar - HP79] M.C.B. Hennessy and G.D. Plotkin. Full abstraction for a simple programming language. In
*Proceedings of Mathematical Foundations of Computer Science*,pages 108–120, New York, 1979. Lecture Notes in Computer Science 74, Springer-Verlag.Google Scholar - [INM84]INMOS Limited.
*Occam Programming Manual*. Prentice-Hall International, Englewood Cliffs, N.J., 1984.Google Scholar - [Lam77]L. Lamport. Proving the correctness of multiprocess programs
*IEEE Transactions on Software Engineering*, SE-3: 2: 125–143, 1977.MathSciNetGoogle Scholar - [LG81]G. Levin and D. Gries. A proof technique for communicating sequential processes.
*Acta Informatica*, 15: 281–302, 1981.MathSciNetzbMATHCrossRefGoogle Scholar - [Lip75]R. Lipton. Reduction: a method of proving properties of parallel programs
*Communications of the ACM*, 18: 717–721, 1975.MathSciNetzbMATHCrossRefGoogle Scholar - [Mi180]R. Milner. A
*Calculus of Communicating Systems*. Lecture Notes in Computer Science 92, Springer-Verlag, New York, 1980.Google Scholar - [Mi189]R. Milner.
*Communication and Concurrency*. Prentice-Hall International, Englewood Cliffs, NJ, 1989.zbMATHGoogle Scholar - [MP81]Z. Manna and A. Pnueli. Verification of concurrent programs: the temporal framework. In R.S. Boyer and J.S. Moore, editors,
*The Correctness Problem in Computer Science*,*International Lecture Series in Computer Science*, London, 1981. Academic Press.Google Scholar - [MP83]Z. Manna and A. Pnueli. How to cook a temporal proof system for your pet language. In
*Proceedings of the 10th Annual ACM Symposium on Principles of Programming Languages*, pages 141154, Austin, Texas, U.S.A., 1983.Google Scholar - [MP84]Z. Manna and A. Pnueli. Adequate proof principles for invariance and liveness properties of concurrent programs.
*Science of Computer Programming*, 4: 257–289, 1984.MathSciNetzbMATHCrossRefGoogle Scholar - [0A88]E.-R. Olderog and K.R. Apt. Fairness in parallel programs, the transformational approach.
*ACM Transactions on Programming Languages and Systems*, 10: 420–455, 1988.CrossRefGoogle Scholar - [OG76a]S. Owicki and D. Gries. An axiomatic proof technique for parallel programs
*Acta Informatica*, 6: 319–340, 1976.MathSciNetzbMATHCrossRefGoogle Scholar - [OG76b]S. Owicki and D. Gries. Verifying properties of parallel programs: an axiomatic approach.
*Communications of the ACM*, 19: 279285, 1976.Google Scholar - [OL82]S. Owicki and L. Lamport. Proving liveness properties of concurrent programs.
*ACM Transactions on Programming Languages and Systems*, 4: 199–223, 1982.CrossRefGoogle Scholar - [P1o81]G.D. Plotkin. A structural approach to operational semantics. Technical Report DAIMI-FN 19, Department of Computer Science, Aarhus University, 1981.Google Scholar
- [Pnu77]A. Pnueli. The temporal logic of programs In Proceeding of the 18th IEEE Symposium on Foundations of Computer Science, pages 46–57, 1977.Google Scholar
- [QS81]J.-P. Queille and J. Sifakis. Specification and verification of concurrent systems in CESAR. In
*Proceedings of the 5th International Symposium on Programming*, Paris, 1981.Google Scholar - [Sha89]E. Shapiro. The family of concurrent logic programming lan- guages.
*ACM Computing Surveys*, 21 (3): 412–510, 1989.CrossRefGoogle Scholar - [Tur49]A.M. Turing. On checking a large routine. Report of a Conference on High Speed Automatic Calculating Machines, pages 67–69, 1949. Univ. Math. Laboratory, Cambridge, 1949. (See also: F.L. Morris and C.B. Jones, An
*early program proof by Alan Turing, Annals of the History of Computing 6 pages*139–143, 1984).Google Scholar

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© Springer Science+Business Media New York 1991