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An axiomatic basis for computer programming
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Communications of the ACM archive
Volume 12 ,  Issue 10  (October 1969) table of contents
Pages: 576 - 580  
Year of Publication: 1969
ISSN:0001-0782
Author
C. A. R. Hoare  Queen's Univ. of Belfast, Northern Ireland
Publisher
ACM  New York, NY, USA
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ABSTRACT

In this paper an attempt is made to explore the logical foundations of computer programming by use of techniques which were first applied in the study of geometry and have later been extended to other branches of mathematics. This involves the elucidation of sets of axioms and rules of inference which can be used in proofs of the properties of computer programs. Examples are given of such axioms and rules, and a formal proof of a simple theorem is displayed. Finally, it is argued that important advantage, both theoretical and practical, may follow from a pursuance of these topics.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
YANOV, Yu I. Logical operator schemes. Kybernetika 1, (1958).
 
2
IGARASHI, S. An axiomatic approach to equivalence problems of algorithms with applications. Ph.D. Thesis 1964. Rep. Compt. Centre, U. Tokyo, 1968, pp. 1-101.
 
3
DE BAKICER, J. W. Axiomatics of simple assignment statements. M.R. 94, Mathematisch Centrum, Amsterdam, June 1968.
 
4
McCARTHY, J. Towards a mathematical theory of computation. Proc. IFIP Cong. 1962, North Holland Pub. Co., Amsterdam, 1963.
 
5
BURSTALL, R. Proving properties of programs by structural induction. Experimental Programming Reports: No. 17 DMIP, Edinburgh, Feb. 1968.
 
6
VAN WIJNGAARDEN, A. Numerical analysis as an independent science. BIT 6 (1966), 66-81.
 
7
 
8
FLOYD, R. W. Assigning meanings to programs. Proc. Amer. Math. Soc. Symposia in Applied Mathematics, Vol. 19, pp. 19-31.
 
9
NAUR, P. Proof of algorithms by general snapshots. BIT 6 (1966), 310-316.

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