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Type of search algorithm
In logic and computer science, the Davis–Putnam–Logemann–Loveland (DPLL) algorithm is a complete, backtracking-based search algorithm for deciding the
DPLL_algorithm
Computer program for the Boolean satisfiability problem
the Davis–Putnam–Logemann–Loveland algorithm (DPLL) and conflict-driven clause learning (CDCL). A DPLL SAT solver employs a systematic backtracking search
SAT_solver
Topics referred to by the same term
DPLL stands for: DPLL algorithm, for solving the boolean satisfiability problem Digital phase-locked loop, an electronic feedback system that generates
DPLL
Algorithm to solve SMT problems
computer science, DPLL(T) is a framework for determining the satisfiability of SMT problems. The algorithm extends the original SAT-solving DPLL algorithm with
DPLL(T)
Logical problem studied in computer science
number of SMT solvers that tightly integrate the Boolean reasoning of a DPLL-style search with theory-specific solvers (T-solvers) that handle conjunctions
Satisfiability modulo theories
Satisfiability_modulo_theories
SAT solving algorithm
variables so that the entire formula evaluates to true. Inspired by the DPLL algorithm, CDCL makes use of non-chronological backtracking (or backjumping)
Conflict-driven clause learning
Conflict-driven_clause_learning
American mathematician (1928–2023)
the Post–Turing model and co-developed the Davis–Putnam–Logemann–Loveland (DPLL) algorithm, which is foundational for Boolean satisfiability solvers. Davis
Martin_Davis_(mathematician)
Problem of determining if a Boolean formula could be made true
size parameters. Difficulty is measured in number recursive calls made by a DPLL algorithm. They identified a phase transition region from almost-certainly-satisfiable
Boolean satisfiability problem
Boolean_satisfiability_problem
Method for automated planning
is then solved using a method for establishing satisfiability such as the DPLL algorithm or WalkSAT. The process encodes key elements of the planning problem—initial
Satplan
Programming algorithm
researchers at Princeton University. The algorithm is an instance of the DPLL algorithm with a number of enhancements for efficient implementation. Some
Chaff_algorithm
Electronic control system
referred to as a linear phase-locked loop" (LPLL), "digital phase-locked loop" (DPLL), "all digital phase-locked loop" (ADPLL), and "software phase-locked loop"
Phase-locked_loop
Programming paradigm based on modeling the logic of a computation
all possible ways, and then using a propositional SAT solver, such as the DPLL algorithm to generate one or more models of the program. Its applications
Declarative_programming
Programming paradigm focused on difficult search problems
employed in the design of many answer set solvers is an enhancement of the DPLL algorithm and, in principle, it always terminates (unlike Prolog query evaluation
Answer_set_programming
Algorithmic paradigm for constraint satisfaction or enumeration problems
Planner and Prolog, which use backtracking internally to generate answers. The DPLL algorithm for solving the Boolean satisfiability problem. The following is
Backtracking
Impossible task in computing
logical formulas are usually decided using SAT-solving techniques based on the DPLL algorithm. For more general decision problems of first-order theories, conjunctive
Entscheidungsproblem
algorithm Genetic programming Particle swarm optimization Backward chaining DPLL algorithm Forward chaining Resolution (logic) Rete algorithm WalkSAT Baum–Welch
List of artificial intelligence algorithms
List_of_artificial_intelligence_algorithms
Branch of logic
formulas is an NP-complete problem. However, practical methods exist (e.g., DPLL algorithm, 1962; Chaff algorithm, 2001) that are very fast for many useful
Propositional_logic
SMT solver
SyGuS-COMP in the years 2015-2019, and in CASC in 2013-2015. CVC4 uses the DPLL(T) architecture, and supports the theories of linear arithmetic over rationals
Cooperating_Validity_Checker
American mathematician and philosopher (1926–2016)
the help of George Logemann and Donald W. Loveland. It became known as the DPLL algorithm. It is efficient and still forms the basis of most complete SAT
Hilary_Putnam
American mathematician (born 1934)
1934 (age 91) Rochester, New York Alma mater New York University Known for DPLL algorithm Awards Herbrand Award 2001 Scientific career Fields Computer science
Donald_W._Loveland
Subfield of automated reasoning and mathematical logic
rewriting Model checking Mathematical induction Binary decision diagrams DPLL Higher-order unification Quantifier elimination Large language models Alt-Ergo
Automated_theorem_proving
Software verification technique
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
Concolic_testing
of new predicate definitions and dynamic folding of such definitions. A DPLL-style algorithm splitting is also supported. A number of standard redundancy
Vampire_(theorem_prover)
Methods in artificial intelligence research
Boolean satisfiability are WalkSAT, conflict-driven clause learning, and the DPLL algorithm. For adversarial search when playing games, alpha-beta pruning
Symbolic artificial intelligence
Symbolic_artificial_intelligence
Programming paradigm based on formal logic
grounding). Then they apply a propositional logic problem solver, such as the DPLL algorithm or a Boolean SAT solver. However, some implementations, such as
Logic_programming
2008-08-04. Helmer/ Hespanhol, R./I. (1997). How good are branching rules in DPLL (PDF) (Technical report). WHO. ISBN 0-419-22910-8. "Mexico: Aserveran que
List_of_most_polluted_rivers
Propositional Resolution and various restrictions and extensions of it like DPLL algorithm Natural deduction Sequent calculus Frege system Extended Frege
Propositional_proof_system
Concept in first-order logic
Bjørner, Nikolaj (2008). "Deciding Effectively Propositional Logic Using DPLL and Substitution Sets". In Armando, Alessandro; Baumgartner, Peter; Dowek
Bernays–Schönfinkel_class
American mathematician
(aged 74) Hartford, Connecticut, U.S. Alma mater New York University Known for DPLL algorithm Partner Bernice C. Schaefer Scientific career Fields Computer science
George_Logemann
Computational Formula that can be measured in terms of True or False
use QDPLL (a generalization of DPLL) or CEGAR. Research into QBF solving began with the development of backtracking DPLL for QBF in 1998, followed by the
True quantified Boolean formula
True_quantified_Boolean_formula
Graph data structure
set of equalities, and e-matching is used to instantiate quantifiers. In DPLL(T)-based solvers that use conflict-driven clause learning (also known as
E-graph
Inference rule in logic, proof theory, and automated theorem proving
algorithm is the original Davis–Putnam algorithm that was later refined into the DPLL algorithm that removed the need for explicit representation of the resolvents
Resolution_(logic)
Method of automated theorem proving
set of clauses. Horn satisfiability Horn clause Automated theorem proving DPLL algorithm Dowling, William F.; Gallier, Jean H. (1984), "Linear-time algorithms
Unit_propagation
for the constraint satisfaction Davis–Putnam–Logemann–Loveland algorithm (DPLL): an algorithm for deciding the satisfiability of propositional logic formula
List_of_algorithms
Mathematical proof at least partially generated by computer
Ahmed (between 2009 and 2014) computed several van der Waerden numbers using DPLL algorithm-based stand-alone and distributed SAT-solvers. Ahmed first used
Computer-assisted_proof
Check the validity of a logic formula
today's (as of 2015) most efficient complete SAT solvers. Herbrandization DPLL algorithm Davis, Martin; Putnam, Hilary (1960). "A Computing Procedure for
Davis–Putnam_algorithm
River in Mexico
2008. Helmer/ Hespanhol, R./I. (1997). How good are branching rules in DPLL (PDF) (Technical report). WHO. ISBN 0-419-22910-8. "Microfarm Project using
Lerma_River
Systems supporting Precision Time Protocol
PTP Stack - 802.1AS (gPTP), Automotive PTP 1.5. 8-Input, 14-Output, Dual DPLL Timing IC with IEEE 1588 Clock from Microsemi Corporation IEEE 1588 PTP Grandmaster
List_of_PTP_implementations
ISBN 1-55860-890-7 Ouyang, Ming (1998). "How Good Are Branching Rules in DPLL?". Discrete Applied Mathematics. 89 (1–3): 281–286. doi:10.1016/S0166-218X(98)00045-6
Look-ahead_(backtracking)
Concept in computer science
be shown to be PSPACE-complete. An algorithm for solving this fragment in DPLL(T)-based SMT solvers has been integrated into cvc5. Extending this result
Separation_logic
Field in logic and theoretical computer science
a polynomial-time algorithm for SAT based on P. For example, runs of the DPLL algorithm on unsatisfiable instances correspond to tree-like Resolution refutations
Proof_complexity
Davis professor emeritus co-inventor of the Davis–Putnam algorithm and the DPLL algorithms; known for his model of Post–Turing machines Bruce Bueno de Mesquita
List of New York University faculty
List_of_New_York_University_faculty
the search process. One of the cornerstone SAT solver algorithms is the DPLL algorithm. The algorithm works by iteratively assigning free variables, and
Boolean satisfiability algorithm heuristics
Boolean_satisfiability_algorithm_heuristics
DPLL
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Girl/Female
American, British, English, German
Ruler of the People; Gifted Ruler; Beloved Leader
Boy/Male
Tamil
Rajasekar | ராஜஸேகரÂ
Lord Shiva, The highest of the rulers
Male
Hebrew
(×™ï‹×—Ö¸× Ö¸×Ÿ) Variant spelling of Hebrew Yowchanan, YOCHANAN means "God is gracious."Â
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Thai
Sun.
Boy/Male
American, Bengali, Danish, Greek, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Tamil, Telugu, Traditional
Whole; Complete; Entire; Good Manner
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Indian
Stream, Motion, Night, God of death
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Indian
Winner
Girl/Female
Arabic African
Beautiful.
Girl/Female
English American Greek
resurrection; or of Eustace: fruitful.
Girl/Female
Australian, Latin, Polish
Bitter; Star of the Sea
DPLL
DPLL
DPLL
DPLL
DPLL