Hi
I have set of logical equations. I like to solve them with proper techniques which may include Boolean logic, Graphs, Linear programming, Matrix etc

A + E <= 1
A + B <= 1
C + E <= 1
D + F <= 1
B + D <= 1
A + C + E >= 1
B + D >= 1
E + F >=  1
D + F = 1
A + E <= 1
C + D <= 1
A + B + C + D + E + F = 3
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I like to solve for the value of the variables. In above code, the variables A..F can take values only from 0 and 1. There are redundant equations and others that looks like overlaps. There is no overlap in conditions. For example B + D <=1 and B+D >=1 implies B +D = 1. One thing to note: The RHS is not necessarily 1 all the time.
This is just a sample. I can solve easily doing manual effort. There could be many such equations. I like to automate this and need some helpful hints. It may also mean to convert my equations into some recognizable format by some Perl modules which can assist to do the job. A data structure which can hold these equations can also be very useful.

Thanks.

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