A graph representation for management of logic models

Abstract This paper addresses the problem of managing logic models, which are characterized as formal representations, in logic, of particular systems of interest. The paper presents a new, graph-based representation scheme for logic models. The scheme produces logic graphs and these graphs are useful for management of logic models. Logic graphs not only provide the full deductive capabilities of logic, but they facilitate the gaining of insight into the structure of the logic model. As such, logic graphs are an attractive alternative to other automatic theorem-proving techniques in logic. The discussion is illustrated throughout with an example problem in policy analysis and planning that has appeared in the management literature.

[1]  Ian I. Mitroff,et al.  Policy as Argument-A Logic for Ill-Structured Decision Problems , 1982 .

[2]  Willard Van Orman Quine,et al.  Elementary Logic , 1965 .

[3]  M. O. Locks,et al.  Note---The Logic of Policy as Argument , 1985 .

[4]  Charles F. Gettys,et al.  Consistency Checking in Hypothesis Generation , 1983 .

[5]  Pierre Hansen,et al.  A linear expected-time algorithm for deriving all logical conclusions implied by a set of boolean inequalities , 1986, Math. Program..

[6]  Daniel R. Dolk,et al.  Knowledge Representation for Model Management Systems , 1984, IEEE Transactions on Software Engineering.

[7]  Willard Van Orman Quine,et al.  Methods of Logic , 1951 .

[8]  Nils J. Nilsson,et al.  Principles of Artificial Intelligence , 1980, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[9]  Joyce J. Elam,et al.  Model Management Systems: an Approach to Decision Support in Complex Organizations , 1980, ICIS.

[10]  Orman Quine Willard Van Methods of logic , 1950 .

[11]  John F. Rockart,et al.  A planning methodology for integrating management support systems , 1984 .

[12]  Robert E. Tarjan,et al.  A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean Formulas , 1979, Inf. Process. Lett..

[13]  R. M. Lee,et al.  Candid Description of Commercial and Financial Concepts: A Formal Semantics Approach to Knowledge Representation , 1981 .

[14]  Andrew B. Whinston,et al.  Foundations of Decision Support Systems , 1981 .

[15]  William F. Clocksin,et al.  Programming in Prolog , 1981, Springer Berlin Heidelberg.

[16]  Joyce J Elam Model Management Systems: A Framework for Development , 1979 .

[17]  Alfred V. Aho,et al.  Data Structures and Algorithms , 1983 .