DEFINING SOFTWARE BY CONTINUOUS, SMOOTH FUNCTIONS

被引:5
作者
DEMILLO, RA [1 ]
LIPTON, RJ [1 ]
机构
[1] PRINCETON UNIV,DEPT COMP SCI,PRINCETON,NJ 08544
关键词
CONTINUOUS FUNCTION; DISCRETE MATHEMATICS; SOFTWARE SYSTEMS;
D O I
10.1109/32.90437
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
A simple proof is given that for every operational description of a software system expressed as a discrete state transition function on a virtual machine there is a continuous smooth function on the reals that agrees with the state transition function on all legal states and has exactly the same complexity. An implication of this result is that there is no reason in principle that the methods of classical analysis cannot be used in software engineering.
引用
收藏
页码:383 / 384
页数:2
相关论文
共 5 条
  • [1] SOCIAL PROCESSES AND PROOFS OF THEOREMS AND PROGRAMS
    DEMILLO, RA
    LIPTON, RJ
    PERLIS, AJ
    [J]. COMMUNICATIONS OF THE ACM, 1979, 22 (05) : 271 - 280
  • [2] HALMOS PR, 1967, LECTURES BOOLEAN ALG
  • [3] PARNAS DL, 1985, AM SCI, V73, P432
  • [4] RASIOWA H, 1970, MATH METAMATHEMATICS
  • [5] STONE MH, 1962, STUDIES MODERN ANAL, V1