After 5 fruitless attempts (red), choosing the variable assignment a=1, b=1 leads, after unit propagation (bottom), to success (green): the top left CNF formula is satisfiable.
Class
Boolean satisfiability problem
Data structure
Binary tree
Worst-case performance
Best-case performance
(constant)
Worst-case space complexity
(basic algorithm)
In logic and computer science, the Davis–Putnam–Logemann–Loveland (DPLL) algorithm is a complete, backtracking-based search algorithm for deciding the satisfiability of propositional logic formulae in conjunctive normal form, i.e. for solving the CNF-SAT problem.
It was introduced in 1961 by Martin Davis, George Logemann and Donald W. Loveland and is a refinement of the earlier Davis–Putnam algorithm, which is a resolution-based procedure developed by Davis and Hilary Putnam in 1960. Especially in older publications, the Davis–Logemann–Loveland algorithm is often referred to as the "Davis–Putnam method" or the "DP algorithm". Other common names that maintain the distinction are DLL and DPLL.
science, the Davis–Putnam–Logemann–Loveland (DPLL) algorithm is a complete, backtracking-based search algorithm for deciding the satisfiability of propositional...
Davis–Putnam–Logemann–Loveland algorithm ("DPLL" or "DLL"). Many modern approaches to practical SAT solving are derived from the DPLLalgorithm and share the same...
DPLL stands for: DPLLalgorithm, for solving the boolean satisfiability problem Digital phase-locked loop, an electronic feedback system that generates...
employed in the design of many answer set solvers is an enhancement of the DPLLalgorithm and, in principle, it always terminates (unlike Prolog query evaluation...
designed by researchers at Princeton University. The algorithm is an instance of the DPLLalgorithm with a number of enhancements for efficient implementation...
Prolog, which use backtracking internally to generate answers. The DPLLalgorithm for solving the Boolean satisfiability problem. The following is an...
then solved using a method for establishing satisfiability such as the DPLLalgorithm or WalkSAT. Given a problem instance in planning, with a given initial...
formulas are usually decided using SAT-solving techniques based on the DPLLalgorithm. For more general decision problems of first-order theories, conjunctive...
Davis–Putnam–Logemann–Loveland algorithm (or DPLL), conflict-driven clause learning (CDCL), and stochastic local search algorithms such as WalkSAT. Almost all...
possible ways, and then using a propositional SAT solver, such as the DPLLalgorithm to generate one or more models of the program. Its applications are...
Learning SAT solver algorithms is the DPLLalgorithm. The algorithm works by iteratively assigning free variables, and when the algorithm encounters a bad...
satisfiability are WalkSAT, conflict-driven clause learning, and the DPLLalgorithm. For adversarial search when playing games, alpha-beta pruning, branch...
Then they apply a propositional logic problem solver, such as the DPLLalgorithm or a Boolean SAT solver. However, some implementations, such as s(CASP)...
Davis–Putnam algorithm: check the validity of a first-order logic formula Davis–Putnam–Logemann–Loveland algorithm (DPLL): an algorithm for deciding the...
out the existence of a polynomial-time algorithm for SAT based on P. For example, runs of the DPLLalgorithm on unsatisfiable instances correspond to...
(e.g., DPLLalgorithm, 1962; Chaff algorithm, 2001) that are very fast for many useful cases. Recent work has extended the SAT solver algorithms to work...
iSAT, building on a unification of DPLL SAT-solving and interval constraint propagation called the iSAT algorithm, and cvc5. The table below summarizes...
clause Automated theorem proving DPLLalgorithm Dowling, William F.; Gallier, Jean H. (1984), "Linear-time algorithms for testing the satisfiability of...
they further refined the algorithm with the help of George Logemann and Donald W. Loveland. It became known as the DPLLalgorithm. It is efficient and still...
Propositional Resolution and various restrictions and extensions of it like DPLLalgorithm Natural deduction Sequent calculus Frege system Extended Frege system...
scientist. He became well known for the Davis–Putnam–Logemann–Loveland algorithm to solve Boolean satisfiability problems. He also contributed to the field...
development of SMT solvers include combination of theories, lazy solving, DPLL(T) and the huge improvements in the speed of SAT solvers. SMT solvers that...
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