A CNF formula is called matched if its associated bipartite graph (whose vertices are clauses and variables) has a matching that covers all clauses. Matched CNF formulas are satisf...
We demonstrate hardness results for the detection of small backdoor sets with respect to base classes Mr of CNF formulas with maximum deficiency ≤ r (M0 is the class of matched...
We call a CNF formula linear if any two clauses have at most one variable in common. We show that there exist unsatisfiable linear k-CNF formulas with at most 4k2 4k clauses, and ...
In this paper we consider the class of boolean formulas in Conjunctive Normal Form (CNF) where for each variable all but at most d occurrences are either positive or negative. This...
Daniel Johannsen, Igor Razgon, Magnus Wahlströ...
Signed conjunctive normal form (signed CNF) is a classical conjunctive clause form using a generalized notion of literal, called signed atom. A signed atom is an expression of the...