## 15-819A3 Specification, Verification, and Refinement of Software
(6 units)
Spring 2003

### John C. Reynolds

First Half of Spring Semester 2003
Tuesdays and Thursdays, 1:30-2:50 pm Wean Hall 4601

### Course Description

Specification and verification of imperative programs,
using the methods of Floyd, Hoare, and Dijkstra, and of the refinement
calculus. Emphasis will be on the application to realistic programs.
We hope to demonstrate verification techniques using an implementation
of Hoare logic (by T. Nipkow) in Isabelle/HOL.
PREREQUISITES: Open to all CMU MS and PhD students. Undergraduates by
permission of the instructor.

TEXT: Notes and papers will be distributed.

METHOD OF EVALUATION: Grading will be based on homework and final exam.

### Class Notes (in Postscript)

### Homework (in Postscript)

### Tentative Bibliography

- Floyd, Robert W.
*Assigning Meanings to Programs.*
** Mathematical Aspects of Computer Science**,
American Mathematical Society 1967, pp. 19-32.
- Hoare, C. A. R.,
*An Axiomatic Basis for Computer Programming.*
** CACM 12**, October 1969, pp. 576-580 and 583.
- Hoare, C. A. R.,
*Proof of a Program: FIND.*
** CACM 14**, January 1971, pp. 39-45.
- Hoare, C. A. R.,
*Towards a Theory of Parallel Programming.*
** Operating Systems Techniques**, ed. C. A. R. Hoare and R. H. Perrott,
Academic Press 1972, pp. 61-71.
- Owicki, Susan S. and Gries, David,
* Verifying Properties of Parallel Programs: An Axiomatic Approach.*
** CACM 19**, May 1976, pp. 279-285.
- Dijkstra, Edsger W.,
* Guarded Commands, Nondeterminacy and Formal Derivation of Programs.*
** CACM 18**, August 1975, pp. 453-457.
- Reynolds, John C.,
** The Craft of Programming**,
Prentice-Hall International 1981, chapters 1, 2, and 5.
- Necula, George C.,
* Proof-Carrying Code.*
** POPL 24**, January 1997, pp. 106-119.
- Nipkow, Tobias, Paulson, Lawrence C., and Wenzel, Marcus,
** Isabelle/HOL: A Proof Assistant for Higher-Order Logic,
LNCS 2283 **, 2002.
- Reynolds, John C.,
* Separation Logic: A Logic for Shared Mutable Data Structures.*
** LICS 17**, July 2002.

last updated March 27, 2003