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Extending the infomation theory approach to converting limited-entry decision tables to computer programs

Published: 01 September 1974 Publication History

Abstract

This paper modifies an earlier algorithm for converting decision tables into flowcharts which minimize subsequent execution time when compiled into a computer program.
The algorithms considered in this paper perform limited search and, accordingly, do not necessarily result in globally optimal solutions. However, the greater search effort needed to obtain a globally optimal solution for complex decision tables is usually not justified by sufficient savings in execution time.
There is an analogy between the problem of converting decision tables into efficient flowcharts and the well-understood problem in information theory of noiseless coding. The results of the noiseless coding literature are used to explore the limitations of algorithms used to solve the decision table problem.
The analogy between the two problems is also used to develop improvements to the information algorithm in extending the depth of search under certain conditions and in proposing additional conditions to be added to the decision table.
Finally, the information algorithm is compared with an algorithm proposed in a recent paper by Verhelst.

References

[1]
Ash, R. information Theory, Wiley, New York, 1965.
[2]
Chapin, N. Parsing of decision tables. Comm. ACM 10, 9 (Aug. 1967), 507-510, 512.
[3]
Ganapathy, S., and Rajaraman, V. Information theory applied to the conversion of decision tables to computer programs. Comm. ACM 16, 9 (Sept. 1973), 532-539.
[4]
Huffman, D.A. A method for the construction of minimum redundancy codes. Proc. IRE 40, 10 (Oct. 1952), 1098-1101.
[5]
King, P.J.H., and Johnson, R.G. Comments on the algorithms of Verhelst for the conversion of limited-entry decision tables to flowcharts. Comm. ACM 17, 1 (Jan. 1974), 43-44.
[6]
Pollack, S.L., Hicks, H.T., and Harrison, W.J. Decision Tables: Theory and Practice. Wiley, New York, 1971.
[7]
Pollack, S.L. Conversion of limited-entry decision tables to computer programs. Comm. ACM 8, 11 (Nov. 1965), 677-682.
[8]
Shwayder, K., Kenney, A.A., and Ainslie, R.J. Decision tablesa tool for tax practitioners. Ttle Tax Adviser 3, 6 (June 1972), 336-345.
[9]
Shwayder, K. Conversion of limited-entry decision tables to computer programs--a proposed modification to Pollack's algorithm. Comm. ACM 14, 2 (Feb. 1971), 69-73.
[10]
Verhelst, M. The conversion of limited-entry decision tables to optimal and near-optimal flowcharts: two new algorithms, Comm. ACM 15, 11 (Nov. 1972), 974-980.

Cited By

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  • (2007)Conversion of limited entry decision tables to computer programsInternational Journal of Computer Mathematics10.1080/0020716840880339815:1-4(3-22)Online publication date: 19-Mar-2007
  • (2005)Lying on the WebInformation Systems Research10.1287/isre.1050.004616:2(131-148)Online publication date: 1-Jun-2005
  • (2005)Use of partial functional dependencies to make practical approximate translations among forms of propositional expert systemsAdvanced Topics in Artificial Intelligence10.1007/3-540-63797-4_69(167-176)Online publication date: 30-Jul-2005
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Information

Published In

cover image Communications of the ACM
Communications of the ACM  Volume 17, Issue 9
Sept. 1974
61 pages
ISSN:0001-0782
EISSN:1557-7317
DOI:10.1145/361147
Issue’s Table of Contents
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 September 1974
Published in CACM Volume 17, Issue 9

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Author Tags

  1. coding
  2. decision tables
  3. flowcharting
  4. information theory
  5. noiseless channel
  6. sorting

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Cited By

View all
  • (2007)Conversion of limited entry decision tables to computer programsInternational Journal of Computer Mathematics10.1080/0020716840880339815:1-4(3-22)Online publication date: 19-Mar-2007
  • (2005)Lying on the WebInformation Systems Research10.1287/isre.1050.004616:2(131-148)Online publication date: 1-Jun-2005
  • (2005)Use of partial functional dependencies to make practical approximate translations among forms of propositional expert systemsAdvanced Topics in Artificial Intelligence10.1007/3-540-63797-4_69(167-176)Online publication date: 30-Jul-2005
  • (2002)Knowledge Management in Expert System CreatorArtificial Intelligence: Methodology, Systems, and Applications10.1007/3-540-46148-5_24(233-242)Online publication date: 21-Aug-2002
  • (1997)Sequential Decision Models for Expert System OptimizationIEEE Transactions on Knowledge and Data Engineering10.1109/69.6347479:5(675-687)Online publication date: 1-Sep-1997
  • (1996)Concerted Use of Multiple Databases for Taxonomic InsightsThe Information Revolution: Impact on Science and Technology10.1007/978-3-642-85248-0_33(263-270)Online publication date: 1996
  • (1991)A binary decision algorithmInformation Sciences: an International Journal10.1016/0020-0255(91)90039-W53:3(251-270)Online publication date: 1-Feb-1991
  • (1989)MetadiagnosisProceedings IEEE International Symposium on Intelligent Control 198810.1109/ISIC.1988.65448(303-306)Online publication date: 1989
  • (1989)Comments on 'Algorithmic State Machine Design and Automatic Theorem ProvingIEEE Transactions on Computers10.1109/12.2429938:6(880-881)Online publication date: 1-Jun-1989
  • (1985)Binary-decision-based Programmable ControllersIEEE Micro10.1109/MM.1985.3045695:3(58-72)Online publication date: 1-Jun-1985
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