DPLL algorithm

The DPLL (Davis-Putnam-Logemann-Loveland) algorithm is a method used to determine if a logical statement with many conditions (called a formula) can be true or false at the same time. It does this by systematically choosing variables, assigning values, and simplifying the problem. If a contradiction arises, it backtracks and tries different choices. If all possibilities are exhausted without conflict, the formula is satisfiable. DPLL is fundamental in solving complex problems like automated theorem proving and designing digital circuits, efficiently navigating the search space to find solutions or prove none exist.