Abstract
Given a Hoare-like deduction system in which can be proved partial correctness assertions of the form [P] S [Q],where S is a program and P, Q are first-order formulas, we are interested in the following question : "If ⊩[P] S1
Preview
Unable to display preview. Download preview PDF.
References
Apt, K. Bergstra, J. and Meerteens L., Recursive assertions are not enough-or are they ? Theor. Comput. Sci. 8, 1 (February 1979).
Clarke,E., Programming language constructs for which it is impossible to obtain "good" Hoare like axiom systems. Fourth ACM Symposium on Principles of Programming Languages (1977).
Cook, S., Soundness and completeness for program verification, SIAM Journal of Computing 7, 1 (1978).
Courcelle, B. and Nivat, M., The algebraic semantics of recursive program schemes. MFCS 1978, Springer Lecture Notes no62.
Cousineau, G.,The algebraic structure of flowcharts.This symposium.
Cousineau, G., An algebraic definition for control structures. To appear in Theor. Comput. Sci.
Doner, Tree acceptors and some of their applications. J. of Comput. and System Sci. 4 (1970).
Enjalbert, P., Systèmes de déduction pour les arbres et les schémas de programmes. 4ème Colloque de Lille sur les arbres en algèbre et en programmation (1979).
Gorelick, G., A complete axiomatic system for proving assertions about recursive and non-recursive programs. Technical Report no 75. University of Toronto (January 1975).
Harel, D., Meyer, A. and Pratt, V., Computability and completeness in logics of programs. 9th ACM symposium on Theory of Computing. Boulder (1977).
Ianov, I., The logical schemes of algorithms. In:Problems of cybernetics, Pergamon Press (1960).
Lukham, D., Park, D., and Paterson, M., On formalized computer programs. J. of Comput. and System Sci. 4 (1970).
Manna, Z., Mathematical theory of computation, Mc Graw-Hill (1974).
Wand, M., A new incompletness result for Hoare's systems. JACM 25, 1 (1978).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1979 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Cousineau, G., Enjalbert, P. (1979). Program equivalence and provability. In: Bečvář, J. (eds) Mathematical Foundations of Computer Science 1979. MFCS 1979. Lecture Notes in Computer Science, vol 74. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09526-8_20
Download citation
DOI: https://doi.org/10.1007/3-540-09526-8_20
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09526-2
Online ISBN: 978-3-540-35088-0
eBook Packages: Springer Book Archive