Team:MoWestern Davidson/project mathmodel

Lego Models

B2 Bomber

Rough and Fine distribution

SAT problems (satisfiability problems) are logic decision problems that ask if a combination of true-false variables (inputs) can be assigned to make the expression true. Here, we are using 3 variables: a, b, and c. For each variable there are 2 literals, either primed (a’) or unprimed (a). ). A clause is two literals connected with OR, hence 2-SAT. A SAT problem is a set of clauses connected with AND.

To classify SAT problems, we began looking at the Rough distribution of each problem, meaning how many clauses were satisfied by each input. The table below gives the number of clauses satisfied for a few select 2-SAT problems for each input.