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CONSTRAINT PROGRAMMING

  • Constraint programming
  • Computer programming paradigm

    expressed in the form of constraint logic programming, which embeds constraints into a logic program. This variant of logic programming is due to Jaffar and

    Constraint programming

    Constraint_programming

  • Constraint logic programming
  • Logic programming with constraint satisfaction

    Constraint logic programming is a form of constraint programming, in which logic programming is extended to include concepts from constraint satisfaction

    Constraint logic programming

    Constraint_logic_programming

  • Constraint (mathematics)
  • Condition of an optimization problem which the solution must satisfy

    Francesca; Van Beek, Peter; Walsh, Toby (2006). "7". Handbook of constraint programming (1st ed.). Amsterdam: Elsevier. ISBN 9780080463643. OCLC 162587579

    Constraint (mathematics)

    Constraint_(mathematics)

  • Concurrent constraint logic programming
  • Concurrent constraint logic programming is a version of constraint logic programming aimed primarily at programming concurrent processes rather than (or

    Concurrent constraint logic programming

    Concurrent_constraint_logic_programming

  • Constraint satisfaction problem
  • Set of objects whose state must satisfy limits

    integer programming (MIP) and answer set programming (ASP) are all fields of research focusing on the resolution of particular forms of the constraint satisfaction

    Constraint satisfaction problem

    Constraint_satisfaction_problem

  • Constraint satisfaction
  • Process in artificial intelligence and operations research

    non-concurrent constraint logic programming in that they are aimed at programming concurrent processes that may not terminate. Constraint handling rules

    Constraint satisfaction

    Constraint_satisfaction

  • Constraint graph
  • In constraint satisfaction research in artificial intelligence and operations research, constraint graphs and hypergraphs are used to represent relations

    Constraint graph

    Constraint_graph

  • List of programming languages by type
  • List of programming languages types and the languages that meet its description

    XProc A constraint programming language is a declarative programming language where relationships between variables are expressed as constraints. Execution

    List of programming languages by type

    List_of_programming_languages_by_type

  • Linear programming
  • Method to solve optimization problems

    Linear programming is a special case of mathematical programming (also known as mathematical optimization). More formally, linear programming is a technique

    Linear programming

    Linear programming

    Linear_programming

  • Comparison of multi-paradigm programming languages
  • Programming languages can be grouped by the number and types of paradigms supported. A concise reference for the programming paradigms listed in this article

    Comparison of multi-paradigm programming languages

    Comparison_of_multi-paradigm_programming_languages

  • Constraint
  • Topics referred to by the same term

    linear programming, economics and cost modeling Constrained writing, in literature Constraint algorithm, such as SHAKE, or LINCS Constraint programming Constraint

    Constraint

    Constraint

  • Sudoku solving algorithms
  • Algorithms to complete a sudoku

    Constraint Programming {{cite CiteSeerX}}: Cite uses deprecated parameter |citeseerx= (help) Multiple Authors. "Java Constraint Programming solver" (Java)

    Sudoku solving algorithms

    Sudoku solving algorithms

    Sudoku_solving_algorithms

  • Declarative programming
  • Programming paradigm based on modeling the logic of a computation

    In computer science, declarative programming is a programming paradigm that expresses the logic of a computation without fully describing its control flow

    Declarative programming

    Declarative_programming

  • List of programming languages
  • plus plus) JADE JAL Janus (concurrent constraint programming language) Janus (time-reversible computing programming language) JASS Java JavaFX Script JavaScript

    List of programming languages

    List_of_programming_languages

  • Janus (concurrent constraint programming language)
  • computer programming language partially described by K. Kahn and Vijay A. Saraswat in the paper "Actors as a special case of concurrent constraint (logic)

    Janus (concurrent constraint programming language)

    Janus_(concurrent_constraint_programming_language)

  • Hierarchical constraint satisfaction
  • Borning, Alan (1993-07-01). "Hierarchical constraint logic programming". The Journal of Logic Programming. 16 (3–4): 277–318. doi:10.1016/0743-1066(93)90046-J

    Hierarchical constraint satisfaction

    Hierarchical_constraint_satisfaction

  • Logic programming
  • Programming paradigm based on formal logic

    Logic programming is a programming, database, and knowledge representation paradigm based on formal logic. A logic program is a set of sentences in logical

    Logic programming

    Logic_programming

  • Distributed constraint optimization
  • Distributed constraint optimization (DCOP or DisCOP) is the distributed analogue to constraint optimization. A DCOP is a problem in which a group of agents

    Distributed constraint optimization

    Distributed_constraint_optimization

  • MiniZinc
  • Constraint modeling language

    combinatorial problems including constraint programming, integer programming, SAT, and SMT. Following the constraint programming paradigm, in MiniZinc a problem

    MiniZinc

    MiniZinc

    MiniZinc

  • Constrained optimization
  • Optimizing objective functions that have constrained variables

    least squares Distributed constraint optimization Constraint satisfaction problem (CSP) Constraint programming Integer programming Metric projection Penalty

    Constrained optimization

    Constrained_optimization

  • Toby Walsh
  • British computer scientist

    artificial intelligence, especially in the areas of social choice, constraint programming and propositional satisfiability. He has served on the Executive

    Toby Walsh

    Toby Walsh

    Toby_Walsh

  • Reactive programming
  • Programming paradigm based on asynchronous data streams

    In computing, reactive programming is a declarative programming paradigm concerned with data streams and the propagation of change. With this paradigm

    Reactive programming

    Reactive_programming

  • Kaleidoscope (programming language)
  • Programming language

    The Kaleidoscope programming language is a constraint programming language embedding constraints into an imperative object-oriented language. It adds

    Kaleidoscope (programming language)

    Kaleidoscope_(programming_language)

  • Programming paradigm
  • High-level computer programming conceptualization

    or competitive behaviour) Constraint programming – relations between variables are expressed as constraints (or constraint networks), directing allowable

    Programming paradigm

    Programming_paradigm

  • Constraint Handling Rules
  • Concurrent constraint logic programming language

    Constraint Handling Rules (CHR) is a declarative, rule-based programming language, introduced in 1991 by Thom Frühwirth at the time with European Computer-Industry

    Constraint Handling Rules

    Constraint_Handling_Rules

  • AMPL
  • Algebraic modeling language

    convex quadratic constraints Mixed-integer nonlinear programming Second-order cone programming Global optimization Semidefinite programming problems with

    AMPL

    AMPL

  • Inductive programming
  • Area of automatic programming

    other (programming) language paradigms have also been used, such as constraint programming or probabilistic programming. Inductive programming incorporates

    Inductive programming

    Inductive_programming

  • Pascal Van Hentenryck
  • Belgian computer scientist

    Engineering at Georgia Tech. He is credited with pioneering advances in constraint programming and stochastic optimization, bridging theory and practice to solve

    Pascal Van Hentenryck

    Pascal Van Hentenryck

    Pascal_Van_Hentenryck

  • Complexity of constraint satisfaction
  • The complexity of constraint satisfaction is the application of computational complexity theory to constraint satisfaction. It has mainly been studied

    Complexity of constraint satisfaction

    Complexity_of_constraint_satisfaction

  • BNR Prolog
  • Constraint logic programming language

    BNR Prolog, also known as CLP(BNR), is a declarative constraint logic programming language based on relational interval arithmetic developed at Bell-Northern

    BNR Prolog

    BNR_Prolog

  • Constraint composite graph
  • Node-weighted undirected graph associated with a given combinatorial optimization problem

    Weighted Constraint Satisfaction Problems". Proceedings of the Fourteenth International Conference on Principles and Practice of Constraint Programming (CP)

    Constraint composite graph

    Constraint_composite_graph

  • SWI-Prolog
  • Implementation of the programming language Prolog

    the programming language Prolog, commonly used for teaching and semantic web applications. It has a rich set of features, libraries for constraint logic

    SWI-Prolog

    SWI-Prolog

  • Answer set programming
  • Programming paradigm focused on difficult search problems

    Answer set programming (ASP) is a form of declarative programming oriented towards difficult (primarily NP-hard) search problems. It is based on the stable

    Answer set programming

    Answer_set_programming

  • Alice (programming language)
  • Programming language

    (multithreading and distributed computing via remote procedure calls) and constraint programming. Alice extends Standard ML in a number of ways that distinguish

    Alice (programming language)

    Alice_(programming_language)

  • SAT solver
  • Computer program for the Boolean satisfiability problem

    software and are built into some programming languages such as exposing SAT solvers as constraints in constraint logic programming. A Boolean formula is any

    SAT solver

    SAT_solver

  • Geometric constraint solving
  • Constraint programming setting

    Geometric constraint solving is constraint satisfaction in a computational geometry setting, which has primary applications in computer aided design. A

    Geometric constraint solving

    Geometric_constraint_solving

  • Optimization Programming Language
  • Algebraic modeling language

    Linear programming Integer programming Quadratic programming Constraint programming Kevin Ruland (1999). "The OPL Optimization Programming Language"

    Optimization Programming Language

    Optimization_Programming_Language

  • Constraint inference
  • Principles of constraint programming. Cambridge University Press. ISBN 0-521-82583-0 Marriott, Kim; Peter J. Stuckey (1998). Programming with constraints: An introduction

    Constraint inference

    Constraint_inference

  • Binary constraint
  • to be true for more general linear programs. Marriott, Kim; Stuckey, Peter J. (1998), Programming with Constraints: An Introduction, MIT Press, p. 282

    Binary constraint

    Binary_constraint

  • Integer programming
  • Mathematical optimization problem restricted to integers

    linear programming (ILP), in which the objective function and the constraints (other than the integer constraints) are linear. Integer programming is NP-complete

    Integer programming

    Integer_programming

  • CHIP (programming language)
  • Constraint logic programming language

    CHIP (Constraint Handling in Prolog) is a constraint logic programming language developed by M. Dincbas, Pascal Van Hentenryck and colleagues in 1985 at

    CHIP (programming language)

    CHIP_(programming_language)

  • Competitive programming
  • Mind sport

    Competitive programming, or sport programming, is a mind sport involving participants trying to program according to given specifications. The contests

    Competitive programming

    Competitive programming

    Competitive_programming

  • Oz (programming language)
  • Multiparadigm programming language

    distributed programming model. This model makes it easy to program open, fault-tolerant applications within the language. For constraint programming, Oz introduces

    Oz (programming language)

    Oz_(programming_language)

  • Nurse scheduling problem
  • Operations research problem, paradigm of constrained scheduling problems

    introductions of various then published solutions. Assignment problem Constraint programming Employee scheduling software Solos, Ioannis; Tassopoulos, Ioannis;

    Nurse scheduling problem

    Nurse_scheduling_problem

  • Francesca Rossi
  • Italian computer scientist (born 1962)

    the field of artificial intelligence, with a particular focus on constraint programming, combinatorial optimization, preference modeling, reasoning and

    Francesca Rossi

    Francesca Rossi

    Francesca_Rossi

  • Basis pursuit
  • Optimization problem

    {\displaystyle x_{i}^{+},x_{i}^{-}\geq 0} . This construction is derived from the constraint x i = x i + − x i − {\displaystyle x_{i}=x_{i}^{+}-x_{i}^{-}} , where

    Basis pursuit

    Basis_pursuit

  • DPLL algorithm
  • Type of search algorithm

    Rossi, Francesca; Van Beek, Peter; Walsh, Toby (eds.). Handbook of constraint programming. Elsevier. p. 122. ISBN 978-0-444-52726-4. Malay Ganai; Aarti Gupta;

    DPLL algorithm

    DPLL algorithm

    DPLL_algorithm

  • Symmetry-breaking constraints
  • "General Symmetry Breaking Constraints". In Benhamou, Frédéric (ed.). Principles and Practice of Constraint Programming – CP 2006, 12th International

    Symmetry-breaking constraints

    Symmetry-breaking_constraints

  • Still life (cellular automaton)
  • Type of pattern that does not change from one generation to the next

    maximally dense still life has attracted attention as a test case for constraint programming. In the limit of an infinitely large grid, no more than half of

    Still life (cellular automaton)

    Still_life_(cellular_automaton)

  • Weighted constraint satisfaction problem
  • Weighted Constraint Satisfaction Problem (WCSP), also known as Valued Constraint Satisfaction Problem (VCSP), is a generalization of a constraint satisfaction

    Weighted constraint satisfaction problem

    Weighted_constraint_satisfaction_problem

  • Rina Dechter
  • Computer scientist

    Artificial Intelligence,. Dechter wrote a standard text in constraint programming called Constraint Processing published by Morgan Kaufmann Publishers in 2003

    Rina Dechter

    Rina Dechter

    Rina_Dechter

  • Alan H. Borning
  • American computer scientist

    interaction, object-oriented programming, programming languages, constraint programming languages and systems, and cooperating constraint languages and solvers

    Alan H. Borning

    Alan_H._Borning

  • Nl (format)
  • File format for presenting and archiving mathematical programming problems

    convex quadratic constraints Mixed-integer nonlinear programming Second-order cone programming Global optimization Semidefinite programming problems with

    Nl (format)

    Nl_(format)

  • Schaefer's dichotomy theorem
  • When a finite set S of relations yields polynomial-time or NP-complete problems

    paper by Hubie Chen. In modern terms, the problem SAT(S) is viewed as a constraint satisfaction problem over the Boolean domain. In this area, it is standard

    Schaefer's dichotomy theorem

    Schaefer's_dichotomy_theorem

  • GNU Prolog
  • and Linux. It also supports some extensions to Prolog including constraint programming over a finite domain, parsing using definite clause grammars, and

    GNU Prolog

    GNU_Prolog

  • Reasoning system
  • Type of software system

    and algorithms. Constraint solvers solve constraint satisfaction problems (CSPs). They support constraint programming. A constraint is a which must be

    Reasoning system

    Reasoning_system

  • OR-Tools
  • Open source software suite by Google

    developed by Google for solving linear programming (LP), mixed integer programming (MIP), constraint programming (CP), vehicle routing (VRP), and related

    OR-Tools

    OR-Tools

    OR-Tools

  • Curry (programming language)
  • Programming language

    language. It merges elements of functional and logic programming, including constraint programming integration. It is nearly a superset of Haskell but

    Curry (programming language)

    Curry (programming language)

    Curry_(programming_language)

  • Patrick Prosser
  • to the theory and practice of constraint programming, Patrick was awarded the Association for Constraint Programming's Research Excellence Award on 15

    Patrick Prosser

    Patrick Prosser

    Patrick_Prosser

  • Model synthesis
  • Family of algorithms used in procedural generation

    Model synthesis (also wave function collapse or 'wfc') is a family of constraint-solving algorithms commonly used in procedural generation, especially

    Model synthesis

    Model synthesis

    Model_synthesis

  • Intertemporal budget constraint
  • Faced by a decision-maker considering present, future

    In economics and finance, an intertemporal budget constraint is a constraint faced by a decision maker who is making choices for both the present and the

    Intertemporal budget constraint

    Intertemporal_budget_constraint

  • Regular constraint
  • artificial intelligence and operations research, a regular constraint is a kind of global constraint. It can be used to solve a particular type of puzzle called

    Regular constraint

    Regular_constraint

  • Constraint learning
  • constraint satisfaction backtracking algorithms, constraint learning is a technique for improving efficiency. It works by recording new constraints whenever

    Constraint learning

    Constraint_learning

  • AC-3 algorithm
  • Algorithms in constraint satisfaction

    In constraint satisfaction, the AC-3 algorithm (short for Arc Consistency Algorithm #3) is one of a series of algorithms used for the solution of constraint

    AC-3 algorithm

    AC-3_algorithm

  • Algorithm selection
  • Meta-algorithmic technique to choose an algorithm

    Selection and Scheduling". In Lee, J. (ed.). Principles and Practice of Constraint Programming. Lecture Notes in Computer Science. Vol. 6876. pp. 454–469. doi:10

    Algorithm selection

    Algorithm_selection

  • Social golfer problem
  • Mathematics problem

    Hofstedt, Petra (2019). "Solving the Social Golfers Problems by Constraint Programming in Sequential and Parallel". In Rocha, Ana; Steels, Luc; van den

    Social golfer problem

    Social_golfer_problem

  • Local search (constraint satisfaction)
  • In constraint satisfaction, local search is an incomplete method for finding a solution to a problem. It is based on iteratively improving an assignment

    Local search (constraint satisfaction)

    Local search (constraint satisfaction)

    Local_search_(constraint_satisfaction)

  • Minion (solver)
  • Software for solving constraint satisfaction problems

    satisfaction problems. Unlike constraint programming toolkits, which expect users to write programs in a traditional programming language like C++, Java or

    Minion (solver)

    Minion_(solver)

  • List of programming languages for artificial intelligence
  • artificial intelligence List of constraint programming languages List of computer algebra systems List of logic programming languages List of constructed

    List of programming languages for artificial intelligence

    List_of_programming_languages_for_artificial_intelligence

  • ECLiPSe
  • Constraint logic programming system

    solving, e.g., problem modeling, constraint programming, mathematical programming, and search techniques. It contains constraint solver libraries, a high-level

    ECLiPSe

    ECLiPSe

  • Constraints (journal)
  • Academic journal

    Constraints is a quarterly peer-reviewed, scientific journal, focused on constraint programming, constraint satisfaction and optimization. It is published

    Constraints (journal)

    Constraints_(journal)

  • Hybrid algorithm (constraint satisfaction)
  • artificial intelligence and operations research for constraint satisfaction a hybrid algorithm solves a constraint satisfaction problem by the combination of two

    Hybrid algorithm (constraint satisfaction)

    Hybrid_algorithm_(constraint_satisfaction)

  • Embarrassingly parallel
  • Problem easily dividable into parallel tasks

    Convolutional neural networks running on GPUs. Parallel search in constraint programming In R (programming language) – The Simple Network of Workstations (SNOW) package

    Embarrassingly parallel

    Embarrassingly_parallel

  • Backjumping
  • In backtracking algorithms, technique that reduces search space

    In constraint programming and SAT solving, backjumping (also known as non-chronological backtracking or intelligent backtracking) is an enhancement for

    Backjumping

    Backjumping

    Backjumping

  • Electromigration
  • Movement of ions in an electrical field

    rules improving the interconnect resistance to electromigration. Constraint programming can be used to produce a layout of a chip's power grid while satisfying

    Electromigration

    Electromigration

    Electromigration

  • Linear programming relaxation
  • Concept in integral mathematics

    linear program is the problem that arises by removing the integrality constraint of each variable. For example, in a 0–1 integer program, all constraints are

    Linear programming relaxation

    Linear_programming_relaxation

  • Forward chaining
  • Inference engine in an expert system

    situations in which conditions are likely to change. Backward chaining Constraint Handling Rules Opportunistic reasoning Rete algorithm Feigenbaum, Edward

    Forward chaining

    Forward_chaining

  • Satisfiability modulo theories
  • Logical problem studied in computer science

    SMT can be thought of as a constraint satisfaction problem and thus a certain formalized approach to constraint programming. Formally speaking, an SMT

    Satisfiability modulo theories

    Satisfiability_modulo_theories

  • Barrier function
  • Continuous function whose value increases to infinity

    ≤ b where b is some constant. If one wishes to remove the inequality constraint, the problem can be reformulated as minimize f(x) + c(x), where c(x) =

    Barrier function

    Barrier_function

  • Karush–Kuhn–Tucker conditions
  • Concept in mathematical optimization

    solution in nonlinear programming to be optimal, provided that some regularity conditions are satisfied. Allowing inequality constraints, the KKT approach

    Karush–Kuhn–Tucker conditions

    Karush–Kuhn–Tucker_conditions

  • Knowledge base
  • Information repository with multiple applications

    specific uses of any individual program; it needed to store data for years and decades rather than for the life of a program. The first knowledge-based systems

    Knowledge base

    Knowledge_base

  • JaCoP (solver)
  • development has been influenced by more than 20 research articles from Constraint Programming community. It has been used as a tool in more than 30 research articles

    JaCoP (solver)

    JaCoP_(solver)

  • Look-ahead (backtracking)
  • Conventional Wisdom in Constraint Satisfaction.” Principles and Practice of Constraint Programming, pp. 10-20. Dechter, Rina (2003). Constraint Processing. Morgan

    Look-ahead (backtracking)

    Look-ahead_(backtracking)

  • Expert system
  • Computer system emulating human expert

    Mistral is a registered trade mark of CESI. AI winter CLIPS Constraint logic programming Constraint satisfaction Knowledge engineering Learning classifier

    Expert system

    Expert system

    Expert_system

  • Vehicle routing problem
  • Optimization problem

    (2018). "A Constraint Programming Approach for Solving Patient Transportation Problems". Principles and Practice of Constraint Programming. Lecture Notes

    Vehicle routing problem

    Vehicle routing problem

    Vehicle_routing_problem

  • Model-based testing
  • Application of model-based design

    disjunctive normal form. Constraint programming can be used to select test cases satisfying specific constraints by solving a set of constraints over a set of variables

    Model-based testing

    Model-based testing

    Model-based_testing

  • ILOG
  • Software company that makes products including JRules

    Apps ILOG Solver was considered the market leader in commercial constraint programming software as of 2006. Based on ILOG Solver, there were other specialized

    ILOG

    ILOG

    ILOG

  • Zebra Puzzle
  • Logic puzzle

    Bridge & Eugene Freuder. "Capturing Constraint Programming Experience: A Case-Based Approach" (PDF). Cork Constraint Computation Centre, University College

    Zebra Puzzle

    Zebra_Puzzle

  • Ciao (programming language)
  • a general-purpose programming language which supports logic, constraint, functional, higher-order, and object-oriented programming styles. Its main design

    Ciao (programming language)

    Ciao_(programming_language)

  • María García de la Banda
  • Spanish computer scientist

    technology. Her research involves constraint logic programming, programming language design and implementation, program transformation, and applications

    María García de la Banda

    María_García_de_la_Banda

  • Constraint (computer-aided design)
  • Imposed limitations in computer-aided design

    into three-dimensional space. In the 80s, a more generalized constraint-based programming language approach emerged and found some application in CAD software

    Constraint (computer-aided design)

    Constraint (computer-aided design)

    Constraint_(computer-aided_design)

  • Cassowary (software)
  • Incremental constraint-solving toolkit

    Cassowary is an incremental constraint-solving toolkit that efficiently solves systems of linear equalities and inequalities. Constraints may be either requirements

    Cassowary (software)

    Cassowary_(software)

  • Backtracking
  • Algorithmic paradigm for constraint satisfaction or enumeration problems

    algorithms for finding solutions to some computational problems, notably constraint satisfaction or enumeration problems, that incrementally builds candidates

    Backtracking

    Backtracking

  • List of optimization software
  • optimizer) a software package for linear programming, integer programming, nonlinear programming, stochastic programming, and global optimization. The "What's

    List of optimization software

    List_of_optimization_software

  • Knowledge representation and reasoning
  • Field of artificial intelligence

    logic programming and Prolog, using SLD resolution to treat Horn clauses as goal-reduction procedures. The early development of logic programming was largely

    Knowledge representation and reasoning

    Knowledge_representation_and_reasoning

  • Local consistency
  • In constraint satisfaction, local consistency conditions are properties of constraint satisfaction problems related to the consistency of subsets of variables

    Local consistency

    Local_consistency

  • Knowledge-based systems
  • Computer program that uses a knowledge base and reasoning to solve problems

    of automated theorem proving, logic programming, blackboard systems, and term rewriting systems such as Constraint Handling Rules (CHR). These more formal

    Knowledge-based systems

    Knowledge-based_systems

  • Region connection calculus
  • multiple possible constraints on 5 of the edges in the constraint network. Since each of the multiple constraints involves 2 constraints, we can reduce the

    Region connection calculus

    Region connection calculus

    Region_connection_calculus

  • Theory of constraints
  • Management paradigm

    very small number of constraints. There is always at least one constraint, and TOC uses a focusing process to identify the constraint and restructure the

    Theory of constraints

    Theory_of_constraints

  • Discrete optimization
  • Branch of mathematical optimization

    on graphs, matroids and other discrete structures integer programming constraint programming These branches are all closely intertwined however, since

    Discrete optimization

    Discrete_optimization

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