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Type of search algorithm
science, the Davis–Putnam–Logemann–Loveland (DPLL) algorithm is a complete, backtracking-based search algorithm for deciding the satisfiability of propositional
DPLL_algorithm
Computer program for the Boolean satisfiability problem
commonly referred to as the DPLL algorithm. Many modern approaches to practical SAT solving are derived from the DPLL algorithm and share the same structure
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
science, DPLL(T) is a framework for determining the satisfiability of SMT problems. The algorithm extends the original SAT-solving DPLL algorithm with the
DPLL(T)
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)
Post–Turing model and co-developed the Davis–Putnam–Logemann–Loveland (DPLL) algorithm, which is foundational for Boolean satisfiability solvers. Davis won
Martin_Davis_(mathematician)
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 Quantification
Davis–Putnam_algorithm
Programming algorithm
designed by researchers at Princeton University. The algorithm is an instance of the DPLL algorithm with a number of enhancements for efficient implementation
Chaff_algorithm
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
the constraint satisfaction Davis–Putnam–Logemann–Loveland algorithm (DPLL): an algorithm for deciding the satisfiability of propositional logic formula
List_of_algorithms
Problem of determining if a Boolean formula could be made true
Davis–Putnam–Logemann–Loveland algorithm (or DPLL), conflict-driven clause learning (CDCL), and stochastic local search algorithms such as WalkSAT. Almost all
Boolean satisfiability problem
Boolean_satisfiability_problem
Algorithmic paradigm for constraint satisfaction or enumeration problems
Prolog, which use backtracking internally to generate answers. The DPLL algorithm for solving the Boolean satisfiability problem. The following is an
Backtracking
Impossible task in computing
formulas are usually decided using SAT-solving techniques based on the DPLL algorithm. For more general decision problems of first-order theories, conjunctive
Entscheidungsproblem
Genetic algorithm Genetic programming Particle swarm optimization Backward chaining DPLL algorithm Forward chaining Resolution (logic) Rete algorithm WalkSAT
List of artificial intelligence algorithms
List_of_artificial_intelligence_algorithms
Programming paradigm based on modeling the logic of a computation
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 are
Declarative_programming
Field in logic and theoretical computer science
out the existence of a polynomial-time algorithm for SAT based on P. For example, runs of the DPLL algorithm on unsatisfiable instances correspond to
Proof_complexity
Inference rule in logic, proof theory, and automated theorem proving
base. One instance of this algorithm is the original Davis–Putnam algorithm that was later refined into the DPLL algorithm that removed the need for explicit
Resolution_(logic)
Methods in artificial intelligence research
satisfiability are WalkSAT, conflict-driven clause learning, and the DPLL algorithm. For adversarial search when playing games, alpha-beta pruning, branch
Symbolic artificial intelligence
Symbolic_artificial_intelligence
Branch of logic
(e.g., DPLL algorithm, 1962; Chaff algorithm, 2001) that are very fast for many useful cases. Recent work has extended the SAT solver algorithms to work
Propositional_logic
American mathematician and philosopher (1926–2016)
they further refined the algorithm with the help of George Logemann and Donald W. Loveland. It became known as the DPLL algorithm. It is efficient and still
Hilary_Putnam
cornerstone SAT solver algorithms is the DPLL algorithm. The algorithm works by iteratively assigning free variables, and when the algorithm encounters a bad
Boolean satisfiability algorithm heuristics
Boolean_satisfiability_algorithm_heuristics
Programming paradigm based on formal logic
Then they apply a propositional logic problem solver, such as the DPLL algorithm or a Boolean SAT solver. However, some implementations, such as s(CASP)
Logic_programming
Mathematical proof at least partially generated by computer
(between 2009 and 2014) computed several van der Waerden numbers using DPLL algorithm-based stand-alone and distributed SAT-solvers. Ahmed first used cluster-distributed
Computer-assisted_proof
Method for automated planning
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
Propositional Resolution and various restrictions and extensions of it like DPLL algorithm Natural deduction Sequent calculus Frege system Extended Frege system
Propositional_proof_system
predicate definitions and dynamic folding of such definitions. A DPLL-style algorithm splitting is also supported. A number of standard redundancy criteria
Vampire_(theorem_prover)
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
Method of automated theorem proving
clause Automated theorem proving DPLL algorithm Dowling, William F.; Gallier, Jean H. (1984), "Linear-time algorithms for testing the satisfiability of
Unit_propagation
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)
physics and applied mathematics. Torsten Suel, pioneer of search engine algorithms Jerome Swartz, developed early optical strategies for barcode scanning
List of New York University faculty
List_of_New_York_University_faculty
Logical problem studied in computer science
iSAT, building on a unification of DPLL SAT-solving and interval constraint propagation called the iSAT algorithm, and cvc5. The table below summarizes
Satisfiability modulo theories
Satisfiability_modulo_theories
American mathematician
scientist. He became well known for the Davis–Putnam–Logemann–Loveland algorithm to solve Boolean satisfiability problems. He also contributed to the field
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
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
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
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
Concept in computer science
locations and data can be shown to be PSPACE-complete. An algorithm for solving this fragment in DPLL(T)-based SMT solvers has been integrated into cvc5. Extending
Separation_logic
American mathematician (born 1934)
intelligence. He is well known for the Davis–Putnam–Logemann–Loveland algorithm. Loveland graduated from Oberlin College in 1956, received a master's
Donald_W._Loveland
DPLL ALGORITHM
DPLL ALGORITHM
Girl/Female
Indian
Doll
Girl/Female
Tamil
Gudiya | கà¯à®Ÿà®¼à®¿à®¯à®¾
Doll
Gudiya | கà¯à®Ÿà®¼à®¿à®¯à®¾
Boy/Male
English American
Valley.
Girl/Female
Tamil
Doll
Surname or Lastname
South German
South German : nickname from Middle High German tol, dol ‘foolish’, ‘mad’; also ‘strong’, ‘handsome’.South German (Döll) : variant of Thiel.South German (Bavaria) : topographic name for someone living in a valley, Middle High German tol ‘ditch’.North German : habitational name from Dolle, Dollen, or Döllen in Brandenburg.English : nickname for a foolish individual, from Middle English dolle ‘dull’, ‘foolish’ (Old English dol). The byform dyl(le) gave rise to Middle English dil(le), dul(le), modern English dull. Compare Dill 3.
Girl/Female
English American German
noble.
Boy/Male
Australian, Celtic, Gaelic, Irish
Wise; Blind; From the Dales; The Valley Meadows
Boy/Male
American, Australian, British, Chinese, Christian, English, French, German, Greek, Jamaican
From the Yew Tree Valley; Rich; Song; Small Valley; Meadow
Girl/Female
Hindu, Indian
Doll
Surname or Lastname
English
English : topographic name for someone who lived in a small valley, from Middle English, Old English dell ‘dell’, ‘valley’, or a habitational name from any of several minor places named Dell, from this word, for example in Buckinghamshire, Essex, and Sussex.German : from Low German delle ‘dell’, ‘depression’ (Middle High German telle ‘gorge’).
Girl/Female
American, Australian, British, English, Greek, Jamaican
Bright; Noble; Small Valley; Meadow
Boy/Male
Gaelic
Wise.
Girl/Female
Tamil
Doll
Girl/Female
British, English, Greek
A Gift of God; Diminutive of Dorothy
Surname or Lastname
German
German : metonymic occupational name for a sawyer, from Middle High German dill(e) ‘(floor)board’.English : metonymic occupational name for a grower or seller of dill, an aromatic culinary and medicinal herb, Old English dile, dyle.English : nickname from Middle English dell, dill, dull ‘dull’, ‘foolish’.English : from an Old English personal name Dylli or Dylla.Possibly a reduced form of Scottish McDill.
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu, Traditional
Doll
Girl/Female
Arabic, Bengali, Gujarati, Hindu, Indian, Kannada, Marathi, Muslim, Sindhi, Telugu
Doll
Boy/Male
Shakespearean
Love's Labours Lost' A constable.
Girl/Female
Tamil
Doll
Girl/Female
English Greek Shakespearean
meaning gift of god. Doll has also come to be used as the name of a child's plaything, and as a...
DPLL ALGORITHM
DPLL ALGORITHM
Girl/Female
Arabic, Muslim
Resplendent; Bright
Boy/Male
Spanish
Gift from God.
Male
Italian
Italian and Spanish form of German Faramund, FARAMUNDO means "journey protection."
Boy/Male
Gujarati, Hindu, Indian, Kannada, Punjabi, Sikh
Lotus
Girl/Female
Indian, Malayalam, Traditional
A Flower
Boy/Male
American, Australian, British, English, German
Brave as a Bear; Form of Bernard; Grim Bear
Surname or Lastname
English
English : from Middle English hap(pe) ‘chance’, ‘luck’, ‘fortune’ (from Old Norse happ), applied as a nickname for someone considered fortunate or well favored. Compare Chance, Fortune.German, Dutch, and northern French (Picardy) : from Middle Low German, Middle Dutch, Old French happe ‘hook’, ‘hatchet’, ‘pruning hook’, a metonymic occupational name for a maker of such implements or for someone who used one in his work. Compare Heppe.German : from a reduced form of the medieval German personal names Hadebald or Hadebert (see Happel).
Boy/Male
Muslim
Lavender
Male
English
Middle English form of Anglo-Saxon Ealdwine, ALDWIN means "old friend."
Boy/Male
Hindu, Indian
Name of an Old Sage; Lord of Heart
DPLL ALGORITHM
DPLL ALGORITHM
DPLL ALGORITHM
DPLL ALGORITHM
DPLL ALGORITHM
superl.
Dull; stupid.
a.
Stupid; dull.
v. t.
To make dull, stupid, or sluggish; to stupefy, as the senses, the feelings, the perceptions, and the like.
v. i.
To become dull or stupid.
n.
Dull; stupid.
a.
Heavy; dull.
superl.
Not bright or clear to the eye; wanting in liveliness of color or luster; not vivid; obscure; dim; as, a dull fire or lamp; a dull red or yellow; a dull mirror.
p. pr. & vb. n.
of Dull
a.
Dull.
a.
Dull; stupid.
superl.
Furnishing little delight, spirit, or variety; uninteresting; tedious; cheerless; gloomy; melancholy; depressing; as, a dull story or sermon; a dull occupation or period; hence, cloudy; overcast; as, a dull day.
imp. & p. p.
of Dull
a.
Dull; stupid.
a.
Dull; stupid.
a.
Dull; stupid.
a.
Heavy; dull.
a.
Obtuse; dull.
a.
Stupid; dull.
a.
Dull-spirited.
a.
Dull; stupid.