By Yasuhiko Takahara

This booklet offers a different structures concept method of administration info method (MIS) improvement. It covers an overview of the technique, offering a theoretical starting place for MIS from the structures theoretic standpoint ahead of proposing useful purposes starting from a transaction processing approach to a solver method. the writer additionally describes his newly constructed prolonged Prolog programming language, which is helping take complete benefit of the mathematical framework employed.

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**Additional info for Foundations and Applications of MIS: A Model Theory Approach (IFSR International Series on Systems Science and Engineering)**

**Sample text**

In other words, the same variable symbol can be used in different rules with a different meaning. This is discussed in detail in Chapter 18. The real advantage provided by extProlog originates from its capacity for symbol processing. p" program presented above. 1 illustrates the maze problem. start 1 1 2 1^ 14 r^ 1 ^ 1 7 [S i 3 finish Fig. 1. Maze problem. A program for solving the problem is given below [Convington, Nute and Vellino, 1997]. -maze(); connect(start, 1) ; connect(1,2)j connect(2,3)\ connect(3,6) connect(4,5)i connect(6,9); connect (5,6); connect(4,7), connect (7,8), connect(8,finish); The program is constructed using a typical strategy in Prolog, that is, it makes extensive use of the backtrack function.

An extension is given by the function defSet(). Suppose a set Ys is given by Ys = {y\p(y,x, {parameterlist)),;c e Xs}. This set is then constructed as Ys:=defSet(p{y,x, [parameter l i s t ] ) , [ x , X s ] ) ; p ( y , x , [ p a r a m e t e r l i s t ] ) <-> d e f i n i t i o n of p { ) ; For example, {n *n|n e {1,2,3,4,5}} is given by Y s : = d e f S e t { p ( y , x , [ ] ) , [x, [ 1 , 2 , 3 , 4 , 5 ] ] ) ; p{y,x,[])<->y=x*x; c. notin Xs (notmember(jc, Xs)) C subsetO Ac B subset(5. A) ^ notsubsetO A^ B notsubset(^.

It should be noted that the standard predicate "retract" of Prolog requires that the target object be fully specified. A text-type constant symbol of the above example can be replaced by a regular constant symbol. 8 User IVIodel Compilation A user model in computer-acceptable set theory is translated into a model in extProlog by the setcompiler. 1 outlines the compilation scheme. Setcompiler Fig. 1. Setcompiler. The parser translates an arithmetic/logic formula, a predicate, a function, or an ifthen formula into a corresponding internal object of extProlog.