Help! Evaluating Many Logical Expressions

Hi All


I have a requirement to evaluate, real-time, a logical expression made up
of many relational expressions.


The given expression looks something like this:
A && B && C
or, somewhat more complex, with lots of parentheses and all.
The A, B, C are the relational expressions. The data arrives in
transactions; one transaction can affect only one relational expression.
I may be able to place some reasonable limit on the number of components
to a logical expression (say, 20).


The problem is:
(a) how to verify that the given logical expression is meaningful -
detecting truisms like (A && ... && ~A), etc.
(b) how to structure the logical expression for evaluation. I have maybe
10000 of these at a time, built using say 100000 components.
(c) structuring - are there ways to simplify a logical expression so
that one keeps doing incremental evaluations (say left to right, or
perhaps in a tree) until there is a conclusive result.
(d) Any methods to reduce/normalize the expression, since (once
implemented) speed would become an issue sooner or later.


Would appreciate some help - a good reference or a cook book, pointer to
some standard algorithms, or whatever. I need to do this in C/++.


Please e-mail me directly at dinesh@netcom.com.


Thanks.
Dinesh K Somani
415-960-1659
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