how to Representation data basein c

Question

there are two data base the first has some value (Characters) and the seconed has some Rules
the  user insert the character and the rule then Compare  the char then fire it and insert on the data base
 
like this example
 
 
fact represent the char
a,b,c,e
 
then the rule
a&b ---> r
c&r-->j
 
then Modified the first data base by inesrt the char r to it
and so on
 
 --> this is mean arrow
& this is mean and opreation