Advances in Computers, Vol. 15 by Morris Rubinoff, Marshall C. Yovits PDF

By Morris Rubinoff, Marshall C. Yovits

ISBN-10: 0120121158

ISBN-13: 9780120121151

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4 Discussion The program synthesis methods of this section have the advantage that they are well founded in formal logic, a much studied area of mathematics. The program synthesis capability is completely general and each constructed program comes with a proof of its correctness. Probably the greatest contribution of this research is its illumination of the chain of steps that link a program with its input-output specifications. , 1975; Hoare, 1969; London, 1970). Progress toward making these systems practical is somewhat impeded by the lack of adequate theorem proving mechanisms.

Returning to the above example, the proposed program now has three instructionsand three transitions (see Fig. 1Oc). The two transitions marked 1 and 2 satisfy the criteria (4) and (3) above, respectively, and so may have indexing bstructions attached. If we attach the form I t C1 to transition 1 and I c- I CI to transition 2, two equations may be derived from the original trace : + + + 2 = Cr, 3 =cz+2 There exists a solution to these equations and so the associated indexing instructions can be added to the program as shown in Fig.

Finally, Winograd’s system can accept some kinds of declarative information. Such sentences result in new theorems or facts being stored into the system’s knowledge base as illustrated by the following sequence: U. A. U. A. U. A. A “steeple” is a stack that contains two green cubes and a pyramid. I UNDERSTAND. Are there any steeples now? NO. Buildone. OK. 46 ALAN W. 4 Discussion Clearly such brief coverage of any system that claims to process a portion of the English language cannot begin to explain the immense complexities involved.

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Advances in Computers, Vol. 15 by Morris Rubinoff, Marshall C. Yovits

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