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Problem of determining if a Boolean formula could be made true
computer science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY, SAT or B-SAT) asks
Boolean satisfiability problem
Boolean_satisfiability_problem
Classic NP-complete problem in computer science
circuit satisfiability problem (also known as CIRCUIT-SAT, CircuitSAT, CSAT, etc.) is the decision problem of determining whether a given Boolean circuit
Circuit satisfiability problem
Circuit_satisfiability_problem
Boolean satisfiability is NP-complete and therefore that NP-complete problems exist
Cook's theorem, states that the Boolean satisfiability problem is NP-complete. That is, it is in NP, and any problem in NP can be reduced in polynomial
Cook–Levin_theorem
Unsolved problem in computer science
of any problem in NP can be transformed mechanically into a Boolean satisfiability problem in polynomial time. The Boolean satisfiability problem is one
P_versus_NP_problem
Existence of values making formula true
The problem of determining whether a formula in propositional logic is satisfiable is decidable, and is known as the Boolean satisfiability problem, or
Satisfiability
Computer program for the Boolean satisfiability problem
computer program which aims to solve the Boolean satisfiability problem (SAT). On input a formula over Boolean variables, such as "(x or y) and (x or not
SAT_solver
Problem in computational complexity theory
theory, the maximum satisfiability problem (MAX-SAT) is the problem of determining the maximum number of clauses, of a given Boolean formula in conjunctive
Maximum satisfiability problem
Maximum_satisfiability_problem
In logic, a statement which is always true
period. The problem of determining whether there is any valuation that makes a formula true is the Boolean satisfiability problem; the problem of checking
Tautology_(logic)
Logical problem studied in computer science
logic, satisfiability modulo theories (SMT) is the problem of determining whether a mathematical formula is satisfiable. It generalizes the Boolean satisfiability
Satisfiability modulo theories
Satisfiability_modulo_theories
Logic problem, AND of pairwise ORs
the general Boolean satisfiability problem, which can involve constraints on more than two variables, and of constraint satisfaction problems, which can
2-satisfiability
Complexity class
between a problem in P and an NP-complete problem. For example, the 3-satisfiability problem, a restriction of the Boolean satisfiability problem, remains
NP-completeness
the Boolean satisfiability problem despite there being no known efficient algorithm in the general case. The Boolean satisfiability (or SAT) problem can
Boolean satisfiability algorithm heuristics
Boolean_satisfiability_algorithm_heuristics
Mathematical topics based on the works of George Boole
element x Boolean satisfiability problem, the problem of determining if there exists an interpretation that satisfies a given Boolean formula Boolean prime
Boolean
Computational Formula that can be measured in terms of True or False
complexity theory, the quantified Boolean formula problem (QBF) is a generalization of the Boolean satisfiability problem in which both existential quantifiers
True quantified Boolean formula
True_quantified_Boolean_formula
Set of objects whose state must satisfy limits
focuses on tackling these kinds of problems. Additionally, the Boolean satisfiability problem (SAT), satisfiability modulo theories (SMT), mixed integer
Constraint satisfaction problem
Constraint_satisfaction_problem
Set of computational problems stated by Richard Karp (1973)
Problems", Richard Karp used Stephen Cook's 1971 theorem that the Boolean satisfiability problem is NP-complete (also called the Cook–Levin theorem) to show
Karp's 21 NP-complete problems
Karp's_21_NP-complete_problems
SAT solving algorithm
(CDCL) is an algorithm for solving the Boolean satisfiability problem (SAT). Given a Boolean formula, the SAT problem asks for an assignment of variables
Conflict-driven clause learning
Conflict-driven_clause_learning
computational complexity, not-all-equal 3-satisfiability (NAE3SAT) is an NP-complete variant of the Boolean satisfiability problem, often used in proofs of NP-completeness
Not-all-equal 3-satisfiability
Not-all-equal_3-satisfiability
{TRUE}}.} #SAT is different from Boolean satisfiability problem (SAT), which asks if there exists a solution to a Boolean formula. Instead, #SAT asks to
♯SAT
Complexity class used to classify decision problems
with 1 < f < k and f dividing n? Every NP-complete problem is in NP. The Boolean satisfiability problem (SAT), where we want to know whether or not a certain
NP_(complexity)
Meta-algorithmic technique to choose an algorithm
selection is the Boolean satisfiability problem. Here, the portfolio of algorithms is a set of (complementary) SAT solvers, the instances are Boolean formulas
Algorithm_selection
Problem in formal logic
logic, Horn-satisfiability, or HORNSAT, is the problem of deciding whether a given conjunction of propositional Horn clauses is satisfiable or not. Horn-satisfiability
Horn-satisfiability
Seven mathematical problems with a US$1 million prize for each solution
common example of an NP problem not known to be in P is the Boolean satisfiability problem. Most mathematicians and computer scientists expect that P ≠ NP;
Millennium_Prize_Problems
When a finite set S of relations yields polynomial-time or NP-complete problems
Schaefer's dichotomy theorem include the NP-completeness of SAT (the Boolean satisfiability problem) and its two popular variants 1-in-3 SAT and not-all-equal 3SAT
Schaefer's_dichotomy_theorem
Can one split the integers into two sets such that every Pythagorean triple spans both?
the Boolean Pythagorean Triples problem via Cube-and-Conquer". In Creignou, Nadia; Le Berre, Daniel (eds.). Theory and Applications of Satisfiability Testing
Boolean Pythagorean triples problem
Boolean_Pythagorean_triples_problem
diagram Boolean function Boolean-valued function Boolean-valued model Boolean satisfiability problem Boolean differential calculus Indicator function (also
List of Boolean algebra topics
List_of_Boolean_algebra_topics
Yes/no problem in computer science
problems are used in computational complexity theory to characterize complexity classes of decision problems. For example, the Boolean satisfiability
Decision_problem
Inherent difficulty of computational problems
many problems that people would like to solve efficiently, but for which no efficient algorithm is known, such as the Boolean satisfiability problem, the
Computational complexity theory
Computational_complexity_theory
Probabilistic optimization technique and metaheuristic
traveling salesman problem, the boolean satisfiability problem, protein structure prediction, and job-shop scheduling). For problems where a fixed amount
Simulated_annealing
Computational problem
formula value problem is complete for NC1 with respect to AC0 reductions. The problem is closely related to the Boolean satisfiability problem which is complete
Circuit_value_problem
NP-complete variant of the Boolean satisfiability problem
NP-complete variant of the Boolean satisfiability problem. Given a conjunctive normal form with three literals per clause, the problem is to determine whether
1-in-3-SAT
Type of computational problem
by the functional Boolean satisfiability problem, FSAT for short. The problem, which is closely related to the SAT decision problem, can be formulated
Function_problem
information theory Boolean ring commutativity of a boolean ring Boolean satisfiability problem NP-completeness of the Boolean satisfiability problem Cantor's diagonal
List_of_mathematical_proofs
Complexity class
the halting problem is NP-hard but not NP-complete. For example, the Boolean satisfiability problem can be reduced to the halting problem by transforming
NP-hardness
If there is a polynomial time algorithm for unambiguous-SAT, then NP equals RP
Valiant–Vazirani theorem implies that the Boolean satisfiability problem, which is NP-complete, remains a computationally hard problem even if the input instances are
Valiant–Vazirani_theorem
Task of computing complete subgraphs
decision problem. Karp's NP-completeness proof is a many-one reduction from the Boolean satisfiability problem. It describes how to translate Boolean formulas
Clique_problem
Complexity class of problems
conditions under which classes of constrained Boolean satisfiability problems cannot be in NPI. Some problems that are considered good candidates for being
NP-intermediate
Transformation of one computational problem to another
reduce a difficult-to-solve NP-complete problem like the boolean satisfiability problem to a trivial problem, like determining if a number equals zero
Reduction_(complexity)
Algorithmic paradigm for constraint satisfaction or enumeration problems
solving the Boolean satisfiability problem. The following is an example where backtracking is used for the constraint satisfaction problem: The general
Backtracking
Complexity class
original NP problem becomes a no-instance for its complement, and vice versa. An example of an NP-complete problem is the Boolean satisfiability problem: given
Co-NP
Algebraic manipulation of "true" and "false"
true is called the Boolean satisfiability problem (SAT), and is of importance to theoretical computer science, being the first problem shown to be NP-complete
Boolean_algebra
Undecidable decision problem introduced by Emil Post
since the problem is NP-complete. Unlike some NP-complete problems like the boolean satisfiability problem, a small variation of the bounded problem was also
Post_correspondence_problem
On collapse of the polynomial hierarchy if NP is in non-uniform polynomial time class
the Karp–Lipton theorem states that if the Boolean satisfiability problem (SAT) can be solved by Boolean circuits with a polynomial number of logic gates
Karp–Lipton_theorem
Inference rule in logic, proof theory, and automated theorem proving
the) Boolean satisfiability problem. For first-order logic, resolution can be used as the basis for a semi-algorithm for the unsatisfiability problem of
Resolution_(logic)
complexity, XOR-SAT (also known as XORSAT) is the class of boolean satisfiability problems where each clause contains XOR (i.e. exclusive or, written
XOR-SAT
Branch of computational complexity theory
function f. FPL is thus a subclass of FPT. An example is the Boolean satisfiability problem, parameterised by the number of variables. A given formula of
Parameterized_complexity
Complexity class of approximable problems
simplest APX-complete problems is MAX-3SAT, a variation of the Boolean satisfiability problem. In this problem, we have a Boolean formula in conjunctive
APX
Abstract computation model
problem for alternating machines to solve is the quantified Boolean formula problem, which is a generalization of the Boolean satisfiability problem in
Alternating_Turing_machine
Logic puzzle
algorithms. The last two approaches reduce the problem of solving a binary puzzle to a Boolean satisfiability problem and solving systems of polynomial equations
Takuzu
Mathematical program specifications
specification. A SAT solver is a program that can solve the Boolean satisfiability problem, the problem of finding an assignment of variables that makes a given
Formal_methods
Local search algorithm solving boolean satisfiability
are local search algorithms to solve Boolean satisfiability problems. Both algorithms work on formulae in Boolean logic that are in, or have been converted
WalkSAT
Classification of algorithm
into factoring. Similarly, a hypothetical algorithm for the Boolean satisfiability problem with a large but polynomial time bound, such as Θ ( n 2 100
Galactic_algorithm
Topics referred to by the same term
cartoonist Bob Satterfield .SAT, a file extension for ACIS CAD files Boolean satisfiability problem (SAT, 2-SAT, 3-SAT) SCSI / ATA Translation, a computer device
SAT_(disambiguation)
Method for automated planning
Satisfiability) is a method for automated planning. It converts the planning problem instance into an instance of the Boolean satisfiability problem (SAT)
Satplan
MAXEkSAT is a problem in computational complexity theory that is a maximization version of the Boolean satisfiability problem 3SAT. In MAXEkSAT, each
MAXEkSAT
Logic puzzle
solution. A faster algorithm may involve encoding the puzzle as a Boolean satisfiability problem (SAT), allowing it to be solved using a SAT solver. This algorithm
Pipes_(puzzle)
Process in artificial intelligence and operations research
other logic puzzles, the Boolean satisfiability problem, scheduling problems, bounded-error estimation problems and various problems on graphs such as the
Constraint_satisfaction
Method for problem solving in optimization
For Boolean satisfiability, the neighbors of a Boolean assignment are those that have a single variable in an opposite state. The same problem may have
Local_search_(optimization)
Computer hardware technology that uses quantum mechanics
algorithms. A general class of problems to which Grover's algorithm can be applied is a Boolean satisfiability problem, where the database through which
Quantum_computing
Abstract machine used to study decision problems
time by a deterministic Turing machine with an oracle for the Boolean satisfiability problem. The notation AB can be extended to a set of languages B (or
Oracle_machine
Type of logical formula
in linear time. In contrast, the unrestricted Boolean satisfiability problem is an NP-complete problem. In universal algebra, definite Horn clauses are
Horn_clause
Problems related to Tetris Verbal arithmetic Berth allocation problem Betweenness Assembling an optimal Bitcoin block. Boolean satisfiability problem
List_of_NP-complete_problems
complexity of problems ranging from the Ising model in physics to the behavior of random instances of the Boolean satisfiability problem in computer science
Nike_Sun
method for solving the phase problem, the difference-map algorithm has been used for the boolean satisfiability problem, protein structure prediction
Difference-map_algorithm
Data structure for Boolean functions
constructing the BDD of a Boolean function solves the NP-complete Boolean satisfiability problem and the co-NP-complete tautology problem, constructing the BDD
Binary_decision_diagram
Complexity class
variables yields a true statement. This is complementary to the Boolean satisfiability problem, which asks whether there exists at least one such assignment
Co-NP-complete
Programming algorithm
Chaff is an algorithm for solving instances of the Boolean satisfiability problem in programming. It was designed by researchers at Princeton University
Chaff_algorithm
Topics referred to by the same term
Chaff algorithm, an algorithm for solving instances of the boolean satisfiability problem Chaffing and winnowing, a method in cryptography to protect
Chaff_(disambiguation)
Complexity class
(Boolean satisfiability problem or SAT) Does a univariate real polynomial have any positive roots? (root finding) Corresponding #P function problems ask
♯P
Clique problem Hamiltonian cycle problem Hamiltonian path problem Integer factorization Knapsack problem Satisfiability problem 2-satisfiability Boolean satisfiability
List of computability and complexity topics
List_of_computability_and_complexity_topics
Unproven computational hardness assumption
{\displaystyle k} -SAT problem is a version of the Boolean satisfiability problem in which the input to the problem is a Boolean expression in conjunctive
Exponential_time_hypothesis
Model of computation
and reduction for the extended set is yet unknown. Circuit satisfiability Logic gate Boolean logic Switching lemma Vollmer, Heribert (1999). Introduction
Boolean_circuit
Problem in computer science
MAX-3SAT is a problem in the computational complexity subfield of computer science. It generalises the Boolean satisfiability problem (SAT) which is a
MAX-3SAT
Topics referred to by the same term
and Toxin (BSAT), usually called Select agent Boolean satisfiability problem (B-SAT or BSAT), a problem in computer science Broadcasting Satellite System
BSAT
Problem of finding a cycle through all vertices of a graph
The Hamiltonian path problem is a topic discussed in the fields of complexity theory and graph theory. It decides if a directed or undirected graph, G
Hamiltonian_path_problem
Type of decision problem in computer science
PSPACE-complete problem, used in many other PSPACE-completeness results, is the quantified Boolean formula problem, a generalization of the Boolean satisfiability problem
PSPACE-complete
Boolean satisfiability problem restricted to a planar incidence graph
the planar 3-satisfiability problem (abbreviated PLANAR 3SAT or PL3SAT) is an extension of the classical Boolean 3-satisfiability problem to a planar incidence
Planar_SAT
Problem in computer science
In computability theory, the halting problem is the decision problem of determining, from a description of an arbitrary computer program and an input
Halting_problem
American mathematician and philosopher (1926–2016)
Davis–Putnam algorithm for the Boolean satisfiability problem and he helped demonstrate the unsolvability of Hilbert's tenth problem. Putnam applied equal scrutiny
Hilary_Putnam
Standard form of a boolean function
The Boolean satisfiability problem on conjunctive normal form formulas is NP-complete. By the duality principle, so is the falsifiability problem on DNF
Disjunctive_normal_form
Class in computational complexity theory
Horn-satisfiability – given a set of Horn clauses, is there a variable assignment that satisfies them? This is P's version of the Boolean satisfiability problem
P-complete
English mathematician and philosopher (1815–1864)
unit Boolean ring, a ring consisting of idempotent elements Boolean satisfiability problem Boole's syllogistic is a logic invented by 19th-century British
George_Boole
American computer scientist (born 1946)
programs that compute Exactly-N. We have no way to prove that the Boolean satisfiability problem (often abbreviated as SAT), which is NP-complete, requires exponential
Richard_Lipton
Computer science concept
version of the boolean satisfiability problem for Σ k P {\displaystyle \Sigma _{k}^{\mathrm {P} }} . In this problem, we are given a Boolean formula f with
Polynomial_hierarchy
Class of problems in computer science
can be shown by a reduction from the following version of the Boolean satisfiability problem, which was shown to be NP-complete likewise to the unrestricted
Interval_scheduling
Electronic design automation method
algorithm cannot find one. Since the ATPG problem is NP-complete (by reduction from the Boolean satisfiability problem) there will be cases where patterns exist
Automatic test pattern generation
Automatic_test_pattern_generation
Type of search algorithm
algorithm for deciding the satisfiability of propositional logic formulae in conjunctive normal form, i.e. for solving the CNF-SAT problem. It was introduced
DPLL_algorithm
British businessman (born 1980)
SAT (Short for satisfiability, as in the Boolean satisfiability problem) and the Latin phrase Et alia. Satalia seeks to solve hard problems, in particular
Daniel_J._Hulme
Software for a class of mathematical problems
optimisation problems Systems of ordinary differential equations Systems of differential algebraic equations Boolean satisfiability problems, including
Solver
Process in digital electronics and integrated circuit design
tractable only for small Boolean functions. Recent approaches map the optimization problem to a Boolean satisfiability problem. This allows finding optimal
Logic_optimization
Part of algebraic geometry devoted to the elimination of variables between polynomials
also a logical facet to elimination theory, as seen in the Boolean satisfiability problem. In the worst case, it is presumably hard to eliminate variables
Elimination_theory
American mathematician
for the Davis–Putnam–Logemann–Loveland algorithm to solve Boolean satisfiability problems. He also contributed to the field of computer music. George
George_Logemann
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
Verifying the Boolean Pythagorean Triples Problem via Cube-and-Conquer". In Creignou, N.; Le Berre, D. (eds.). Theory and Applications of Satisfiability Testing
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Yes-or-no question that cannot ever be solved by a computer
theory and computational complexity theory, an undecidable problem is a decision problem for which it is proved to be impossible to construct an algorithm
Undecidable_problem
Task to construct a program meeting a formal specification
possible to encode program synthesis problems in Boolean logic and use algorithms for the Boolean satisfiability problem to automatically find programs. In
Program_synthesis
List of concepts in artificial intelligence
External links satisfiability In mathematical logic, satisfiability and validity are elementary concepts of semantics. A formula is satisfiable if it is possible
Glossary of artificial intelligence
Glossary_of_artificial_intelligence
Form of second-order logic
counting the number of solutions of the MSO formula in that case. The satisfiability problem for monadic second-order logic is undecidable in general because
Monadic_second-order_logic
Complexity class
(polynomial time) problems. Determining the satisfiability of a Boolean formula in disjunctive normal form is easy: such a formula is satisfiable if and only
♯P-complete
Non-convex polyhedron with no triangulation
this type can be used to simulate Boolean logic components in a reduction from the Boolean satisfiability problem. Schönhardt's 1928 discovery of this
Schönhardt_polyhedron
BOOLEAN SATISFIABILITY-PROBLEM
BOOLEAN SATISFIABILITY-PROBLEM
Surname or Lastname
English
English : variant of Bullen.
Surname or Lastname
North German form of Fries 1.Dutch
North German form of Fries 1.Dutch : variant of Frese.English : metonymic occupational name for a weaver of frieze, a coarse woolen cloth with a thick nap, Old French frise.
Surname or Lastname
English
English : habitational name from places in Devon and Norfolk named Boyland. The Norfolk place name is derived from the Old English personal name Boia + lund ‘grove’ (Old Norse lundr).Irish : variant of Boylan.
Girl/Female
Tamil
Foolan | பூலந, பூலà®
Flowering, Blooming, Flower
Foolan | பூலந, பூலà®
Surname or Lastname
English
English : possibly a variant of Woolen.
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Telugu, Traditional
Flowering
Surname or Lastname
English
English : metonymic occupational name for a maker and seller of woolen cloth, from Old French drap ‘cloth’.
Boy/Male
Irish
Puppy.
Girl/Female
Indian
Flowering, Blooming, Flower
Boy/Male
American, British, English
Lives at the Buck Meadow
Surname or Lastname
Irish
Irish : Anglicized form of Gaelic Ó Baoighealláin. It was the name of a sept of Dartry, County Monaghan.English : variant of Boyland.
Surname or Lastname
English
English : variant of Wool.Americanized form of Jewish Wollman or German Wollmann (see Wollman).
Surname or Lastname
English
English : topographic name for someone who lived on a curved or irregularly shaped piece of land, from Old English wÅh ‘curved’, ‘crooked’ + land ‘land’, ‘estate’, or a habitational name from Woolland in Dorset, named from an Old English winn, wynn ‘meadow’, ‘pasture’ + land ‘land’, ‘estate’.
Surname or Lastname
Czech
Czech : from a pet form of the personal names Boleslav or Bolebor.Polish (Boleń) : from a pet form of the personal name Bolesław.Variant spelling of German Bohlen.Swedish (Bolén) : ornamental name composed of an unexplained first element + the common surname suffix -én, a derivative of Latin -enius ‘descendant of’.English : variant of Bullen.
Surname or Lastname
English
English : variant of Boland.Irish : Anglicized form of Gaelic Ó Beólláin, ‘descendant of Bjolan’, a Norse personal name.
Surname or Lastname
English
English : variant of Bowerman.
Surname or Lastname
English
English : variant of Bullen.
Boy/Male
Indian, Punjabi, Sikh
God's Spoken Word
Surname or Lastname
English
English : variant spelling of Woolen.
Boy/Male
English American German
Cuts the nap of woolen cloth. 'Shireman' In medieval times the shireman served as governor-judge...
BOOLEAN SATISFIABILITY-PROBLEM
BOOLEAN SATISFIABILITY-PROBLEM
Boy/Male
Indian
Lord Shiva
Female
Irish
Diminutive form of Irish Gaelic BrÃd, BRÃDIN means "little exalted one."
Girl/Female
Hindu, Indian
Taste
Boy/Male
Hindu, Indian
Special
Girl/Female
Biblical
His precious fruit, declaring a message.
Boy/Male
Tamil
Victorious God Swami Narayan, Victory of blue, Victory over gems
Boy/Male
Australian, Danish, French, Greek, Italian
People's Victory; Victorious; Conqueror of the People
Girl/Female
American, British, English
Bright Fame
Boy/Male
Muslim/Islamic
Riches happiness
Surname or Lastname
English
English : habitational name from Bolham in Nottinghamshire, probably named in Old English with the dative plural (bolum) of either of two unattested Old English words, bola ‘tree trunk’ (compare Old Norse bolr, modern English bole) or bol ‘rounded hill’ (cognate with Middle Low German bolle ‘round object’). Compare Bolam.
BOOLEAN SATISFIABILITY-PROBLEM
BOOLEAN SATISFIABILITY-PROBLEM
BOOLEAN SATISFIABILITY-PROBLEM
BOOLEAN SATISFIABILITY-PROBLEM
BOOLEAN SATISFIABILITY-PROBLEM
n.
A kind of woolen cloth.
n.
A woolen stuff thinner than ratteen.
a.
Swollen; puffed out.
n.
A kind of woolen stuff.
n.
A kind of woolen cloth; tammy.
n.
A kind of woolen.
n.
One who deals in wool.
n.
Cloth, or woolen stuffs in general.
a.
Of or pertaining to Sir Thomas Bodley, or to the celebrated library at Oxford, founded by him in the sixteenth century.
n.
Cloth made of wool; woollen goods.
a.
See Boln, a.
pl.
of Bookman
a.
Made of wool; consisting of wool; as, woolen goods.
a.
Having the characteristic of Zoilus, a bitter, envious, unjust critic, who lived about 270 years before Christ.
n.
A studious man; a scholar.
n.
A soft and delicate woolen, or woolen and silk, fabric, for ladies' dresses.
a.
Of or pertaining to wool or woolen cloths; as, woolen manufactures; a woolen mill; a woolen draper.
pl.
of Woolman
a.
Alt. of Bollen