M. Conforti et G. Cornuejols, A CLASS OF LOGIC PROBLEMS SOLVABLE BY LINEAR-PROGRAMMING, Journal of the Association for Computing Machinery, 42(5), 1995, pp. 1107-1113
In propositional logic, several problems, such as satisfiability, MAX
SAT and logical inference, can be formulated as integer programs. In t
his paper, we consider sets of clauses for which the corresponding int
eger programs can be solved as linear programs. We prove that balanced
sets of clauses have this property.