A unified approach for developing efficient algorithmic programs

Springer Science and Business Media LLC - Tập 12 Số 4 - Trang 314-329 - 1997
Jian Xue1,2
1Computer Engineering Department, Santa Clara University, Santa Clara, USA
2Computer Software Institute, Jiangxi Normal University, Nanchang

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Từ khóa


Tài liệu tham khảo

Backhouse R C. Program Construction and Verification. Prentice-Hall, London, 1986.

Dijkstra E W. A Discipline of Programming. Prentice-Hall, New Jersey, 1976.

Dijkstra E W, Scholten C S. Predicate Calculus and Program Semantics. Springer-Verlag, New York, 1990.

Gries D. The Science of Programming. Springer-Verlag, New York, 1981.

Paull M C. Algorithm Design—A Recursion Transformation Framework. John Wiley & Sons, 1988.

Smith D R. KIDS: A semiautomatic program development system.IEEE Trans. on Software Engineering, 1990, 16(9): 1024–1043.

Smith D R (ed). Structure and Design of Problem Reduction Generators, Constructioning Program from Specification. IFIP, 1991, pp. 1320–1328.

Xu Jiafu. The Automation of Software. Qinghua University Press, 1993.

Baase S. Computer Algorithms, Introduction to Design and Analysis (2nd edition). Addison-Wesley, 1991, pp. 15–17.

Beery D M. Whether formal methods? Some thoughts on the application of formal methods. InWorkshop on Increasing the Practical Impact of Formal Methods for Computer-Aided Software Development: Software Evolution, Sept. 1994, pp. 22–37.

Luqi. Monterey workshop 94: Software evolution. InProc. of Monterey Workshop on Increasing the Practical Impact of Formal Methods for Computer-Aided Software Development: Software Evolution, Sept. 1994, pp. 1–9.

Manber U. Using induction to design algorithms.CACM, 1988, 31(11): 1300–1313.

Manber U. Introduction to Algorithms—A Creative Approach. Addison-Wesley, 1989.

Gries D. A note on a standard strategy for developing loop invariants and loops.Science of Computer Programming, 1982, 2: 207–214.

Horowitz E. Design and classification of algorithms. InAcademic Encyclopedia Computer Science, Third Edition, Ralston A, Reilly E D (eds.), Van Nostrand, Reinhold, New York, 1993, pp.33–37.

Xue Jinyun, David G. Developing a linear algorithm for cubing a cycle permutation.Science of Computer Programming, 1988, 11: 161–165.

Knuth D. The Art of Computer Programming, Vol.1. Addison-Wesley, 1973.

Gries D, Volpano D. The transform—A new language construct.Structure Programming, 1991, 11: 1–10.

Kingston J H. Algorithms and Data Structures, Design, Correctness, Analysis. Addison-Wesley, 1990.

Xue Jinyun. Two new strategies for developing loop invariants and their applications.Journal of Computer Science and Technology, 1993, 8(3).

Gries D, Xue Jinyun. The Hopcroft-Tarjan Planarity Algorithm: Presentations and Improvements. TR88-906, CS Dept. of Cornell University.

Xue Jinyun. Design and Proof of Algorithm and Programs. Textbook used in Jiangxi Normal University, 1994.

Aho A, Hopcroft J, Ullman J. Data Structures and Algorithms. Addison-Wesley, 1983.

Xue Jinyun. A systematic method for designing and proving algorithmic programs. InAdvances of Theoretical Computer Science, Proc. of National Theoretical Computer Science Conf. of China, 1994.

Xue Jinyun. The standard proof and formal derivation of complex algorithmic programs. InThe 8th Academic Conf. of China Computer Federation, Beijing, 1992, pp. 61–68.

Knuth D. A Simple Program Whose Proof Isn’t, Beauty is Our Business, A Birthday Salute to E.W. Dijkstra. Feijen W H Jet al (eds), 1990.

Xue Jinyun, Davis R, Lin F. A simple program whose derivation and proof are also. (to appear inSoftware Concepts and Tools)