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elopment and maintenance costs.
=== Modularity and scoping ===
Modularity is about organizing the procedures of a program into separate modules—each of which has a specific and understandable purpose.
Minimizing the scope of variables and procedures can enhance software quality by reducing the cognitive load of proce... | https://en.wikipedia.org/wiki/Procedural_programming |
cedural includes block and scope concepts, whereas imperative describes a more general concept that does not require such features. Procedural languages generally use reserved words that define blocks, such as if, while, and for, to implement control flow, whereas non-structured imperative languages (i.e. assembly lang... | https://en.wikipedia.org/wiki/Procedural_programming |
ture.
Some OOP languages support the class concept which allows for creating an object based on a definition.
Nomenclature varies between the two, although they have similar semantics:
=== Functional programming ===
The principles of modularity and code reuse in functional languages are fundamentally the same as in p... | https://en.wikipedia.org/wiki/Procedural_programming |
f functional languages is therefore designed to support writing programs as much as possible in terms of pure functions:
Whereas procedural languages model execution of the program as a sequence of imperative commands that may implicitly alter shared state, functional programming languages model execution as the evalu... | https://en.wikipedia.org/wiki/Procedural_programming |
uages tend to rely on tail call optimization and higher-order functions instead of imperative looping constructs.
Many functional languages, however, are in fact impurely functional and offer imperative/procedural constructs that allow the programmer to write programs in procedural style, or in a combination of both st... | https://en.wikipedia.org/wiki/Procedural_programming |
is, rather than on how to solve it.
However, the backward reasoning technique, implemented by SLD resolution, used to solve problems in logic programming languages such as Prolog, treats programs as goal-reduction procedures. Thus clauses of the form:
H :- B1, …, Bn.
have a dual interpretation, both as procedures
to... | https://en.wikipedia.org/wiki/Procedural_programming |
Goal programming is a branch of multiobjective optimization, which in turn is a branch of multi-criteria decision analysis (MCDA). It can be thought of as an extension or generalisation of linear programming to handle multiple, normally conflicting objective measures. Each of these measures is given a goal or target va... | https://en.wikipedia.org/wiki/Goal_programming |
est satisfying solution under a varying amount of resources and priorities of the goals.
== History ==
Goal programming was first used by Charnes, Cooper and Ferguson in 1955, although the actual name first appeared in a 1961 text by Charnes and Cooper. Seminal works by Lee, Ignizio, Ignizio and Cavalier, and Romero... | https://en.wikipedia.org/wiki/Goal_programming |
red the unwanted deviations into a number of priority levels, with the minimisation of a deviation in a higher priority level being infinitely more important than any deviations in lower priority levels. This is known as lexicographic or pre-emptive goal programming. Ignizio gives an algorithm showing how a lexicograp... | https://en.wikipedia.org/wiki/Goal_programming |
nwanted deviation is multiplied by a normalisation constant to allow direct comparison. Popular choices for normalisation constants are the goal target value of the corresponding objective (hence turning all deviations into percentages) or the range of the corresponding objective (between the best and the worst possibl... | https://en.wikipedia.org/wiki/Goal_programming |
oftware as either a single linear programme, or in the case of the lexicographic variant, a series of connected linear programmes.
Goal programming can hence handle relatively large numbers of variables, constraints and objectives. A debated weakness is the ability of goal programming to produce solutions that are not... | https://en.wikipedia.org/wiki/Goal_programming |
he ordinal priority approach.
== See also ==
Decision-making software
== External links ==
LiPS — Free easy-to-use GUI program intended for solving linear, integer and goal programming problems.
LINSOLVE - Free Windows command-line window linear programming and linear goal programming]
== References == | https://en.wikipedia.org/wiki/Goal_programming |
In computer programming, initialization or initialisation is the assignment of an initial value for a data object or variable. The manner in which initialization is performed depends on the programming language, as well as the type, storage class, etc., of an object to be initialized. Programming constructs which perfo... | https://en.wikipedia.org/wiki/Initialization_(programming) |
code may be part of a constructor (class method) or an initializer (instance method). Setting a memory location to hexadecimal zeroes is also sometimes known as "clearing" and is often performed by an exclusive or instruction (both operands specifying the same variable), at machine code level, since it requires no add... | https://en.wikipedia.org/wiki/Initialization_(programming) |
raw a distinction between the terms "declaration" and "definition", as in the commonly seen phrase "the distinction between a declaration and definition...", implying that a declaration merely designates a data object (or function). In fact, according to the C++ standard, a definition is a declaration. Still, the usage... | https://en.wikipedia.org/wiki/Initialization_(programming) |
" is also used to refer to the list of expressions in the array or struct initializer.
C++11 provides for a more powerful concept of initializer lists, by means of a template, called std::initializer_list.
=== Default initialization ===
Data initialization may occur without explicit syntax in a program to do so. For... | https://en.wikipedia.org/wiki/Initialization_(programming) |
Linear programming (LP), also called linear optimization, is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements and objective are represented by linear relationships. Linear programming is a special case of mathematical programming (also known as math... | https://en.wikipedia.org/wiki/Linear_programming |
ssed in standard form as:
Find a vector
x
... | https://en.wikipedia.org/wiki/Linear_programming |
≤
b
and
x
... | https://en.wikipedia.org/wiki/Linear_programming |
f {c} }
and
b
{\displaystyle \mathbf {b} }
are given vectors, and
A
{\displaystyle A}
is a given matrix. The function whose value is to be maximized (
x
↦
... | https://en.wikipedia.org/wiki/Linear_programming |
y a convex polytope over which the objective function is to be optimized.
Linear programming can be applied to various fields of study. It is widely used in mathematics and, to a lesser extent, in business, economics, and some engineering problems. There is a close connection between linear programs, eigenequations, Jo... | https://en.wikipedia.org/wiki/Linear_programming |
orovich and American economist Wassily Leontief independently delved into the practical applications of linear programming. Kantorovich focused on manufacturing schedules, while Leontief explored economic applications. Their groundbreaking work was largely overlooked for decades.
The turning point came during World War... | https://en.wikipedia.org/wiki/Linear_programming |
f in the late 1930s eventually became foundational to the broader acceptance and utilization of linear programming in optimizing decision-making processes.
Kantorovich's work was initially neglected in the USSR. About the same time as Kantorovich, the Dutch-American economist T. C. Koopmans formulated classical economi... | https://en.wikipedia.org/wiki/Linear_programming |
oblem in most cases. When Dantzig arranged a meeting with John von Neumann to discuss his simplex method, von Neumann immediately conjectured the theory of duality by realizing that the problem he had been working in game theory was equivalent. Dantzig provided formal proof in an unpublished report "A Theorem on Linear... | https://en.wikipedia.org/wiki/Linear_programming |
reduces the number of possible solutions that must be checked.
The linear programming problem was first shown to be solvable in polynomial time by Leonid Khachiyan in 1979, but a larger theoretical and practical breakthrough in the field came in 1984 when Narendra Karmarkar introduced a new interior-point method for so... | https://en.wikipedia.org/wiki/Linear_programming |
timization theory, such as duality, decomposition, and the importance of convexity and its generalizations. Likewise, linear programming was heavily used in the early formation of microeconomics, and it is currently utilized in company management, such as planning, production, transportation, and technology. Although t... | https://en.wikipedia.org/wiki/Linear_programming |
1
x
1
+
c
2
x
2
{\displaystyle f(x_{1},x_{2})=c_{1}x_{1}+c_{2}x_{2... | https://en.wikipedia.org/wiki/Linear_programming |
≤
b
1
a
21
... | https://en.wikipedia.org/wiki/Linear_programming |
31
x
1
+
a
32
... | https://en.wikipedia.org/wiki/Linear_programming |
1
≥
0
x
2
≥
0
... | https://en.wikipedia.org/wiki/Linear_programming |
≥
0
}
{\displaystyle \max\{\,\mathbf {c} ^{\mathsf {T}}\mathbf {x} \mid \mathbf {x} \in \mathbb {R} ^{n}\land A\mathbf {x} \leq \mathbf {b} \land \mathbf {x} \geq 0\,\}}
Other forms, such as minimization problems, problems with constraints on alternative forms, and... | https://en.wikipedia.org/wiki/Linear_programming |
rea of land planted with wheat and barley by x1 and x2 respectively, then profit can be maximized by choosing optimal values for x1 and x2. This problem can be expressed with the following linear programming problem in the standard form:
In matrix form this becomes:
maximize
... | https://en.wikipedia.org/wiki/Linear_programming |
x
2
]
{\displaystyle {\begin{bmatrix}S_{1}&S_{2}... | https://en.wikipedia.org/wiki/Linear_programming |
P
1
P
2
... | https://en.wikipedia.org/wiki/Linear_programming |
L
F
P
]
,
... | https://en.wikipedia.org/wiki/Linear_programming |
0
]
.
{\displaystyle {\begin{bmatrix}1&1\\F_{1}&F_{2}\\P_{1}&P_{2}\end{bmatrix}}{\begin{bmatrix}x_{1}\\x_{2}\end{bmatrix}}\leq {\begin{bmatrix}L\\F\\P\end{bmatrix}},\,{\begin{bmatrix}x_{1}\\x_{2}\end{bmatrix}}\geq ... | https://en.wikipedia.org/wiki/Linear_programming |
c
T
0
... | https://en.wikipedia.org/wiki/Linear_programming |
]
=
[
0
b
... | https://en.wikipedia.org/wiki/Linear_programming |
wly introduced slack variables,
x
{\displaystyle \mathbf {x} }
are the decision variables, and
z
{\displaystyle z}
is the variable to be maximized.
=== Example ===
The example above is converted into the follow... | https://en.wikipedia.org/wiki/Linear_programming |
1
−
S
1
−
... | https://en.wikipedia.org/wiki/Linear_programming |
0
F
1
F
... | https://en.wikipedia.org/wiki/Linear_programming |
0
0
1
]
[
... | https://en.wikipedia.org/wiki/Linear_programming |
x
4
x
5
... | https://en.wikipedia.org/wiki/Linear_programming |
x
1
x
2
... | https://en.wikipedia.org/wiki/Linear_programming |
]
≥
0.
{\displaystyle {\begin{bmatrix}1&-S_{1}&-S_{2}&0&0&0\\0&1&1&1&0&0\\0&F_{1}&F_{2}&0&1&0\\0&P_{1}&P_{2}&0&0&1\\\end{bmatrix}}{\begin{bmatrix}z\\x_{1}\\x_{2}\\x_{3}\\x_{4}\\x_{5}\end{bmatrix}}={\begin{bmatrix}0\\L\\F\\P\end{bmatrix}},\,{\begin{bmatrix}x_{1}\\x_{2... | https://en.wikipedia.org/wiki/Linear_programming |
theory. One is the fact that (for the symmetric dual) the dual of a dual linear program is the original primal linear program. Additionally, every feasible solution for a linear program gives a bound on the optimal value of the objective function of its dual. The weak duality theorem states that the objective functio... | https://en.wikipedia.org/wiki/Linear_programming |
am for details and several more examples.
== Variations ==
=== Covering/packing dualities ===
A covering LP is a linear program of the form:
Minimize: bTy,
subject to: ATy ≥ c, y ≥ 0,
such that the matrix A and the vectors b and c are non-negative.
The dual of a covering LP is a packing LP, a linear program of t... | https://en.wikipedia.org/wiki/Linear_programming |
LP. In this case, there is one constraint for each vertex of the graph and one variable for each independent set of the graph.
== Complementary slackness ==
It is possible to obtain an optimal solution to the dual when only an optimal solution to the primal is known using the complementary slackness theorem. The theo... | https://en.wikipedia.org/wiki/Linear_programming |
.
This necessary condition for optimality conveys a fairly simple economic principle. In standard form (when maximizing), if there is slack in a constrained primal resource (i.e., there are "leftovers"), then additional quantities of that resource must have no value. Likewise, if there is slack in the dual (shadow) p... | https://en.wikipedia.org/wiki/Linear_programming |
e, the constraints x ≥ 2 and x ≤ 1 cannot be satisfied jointly; in this case, we say that the LP is infeasible. Second, when the polytope is unbounded in the direction of the gradient of the objective function (where the gradient of the objective function is the vector of the coefficients of the objective function), th... | https://en.wikipedia.org/wiki/Linear_programming |
inequalities is a linear programming problem in which the objective function is the zero function (i.e., the constant function taking the value zero everywhere). For this feasibility problem with the zero-function for its objective-function, if there are two distinct solutions, then every convex combination of the sol... | https://en.wikipedia.org/wiki/Linear_programming |
olutions. This principle underlies the simplex algorithm for solving linear programs.
== Algorithms ==
=== Basis exchange algorithms ===
==== Simplex algorithm of Dantzig ====
The simplex algorithm, developed by George Dantzig in 1947, solves LP problems by constructing a feasible solution at a vertex of the poly... | https://en.wikipedia.org/wiki/Linear_programming |
e "random" problems efficiently, i.e. in a cubic number of steps, which is similar to its behavior on practical problems.
However, the simplex algorithm has poor worst-case behavior: Klee and Minty constructed a family of linear programming problems for which the simplex method takes a number of steps exponential in th... | https://en.wikipedia.org/wiki/Linear_programming |
, in the worst case.
=== Interior point ===
In contrast to the simplex algorithm, which finds an optimal solution by traversing the edges between vertices on a polyhedral set, interior-point methods move through the interior of the feasible region.
==== Ellipsoid algorithm, following Khachiyan ====
This is the firs... | https://en.wikipedia.org/wiki/Linear_programming |
and D. Yudin.
==== Projective algorithm of Karmarkar ====
Khachiyan's algorithm was of landmark importance for establishing the polynomial-time solvability of linear programs. The algorithm was not a computational break-through, as the simplex method is more efficient for all but specially constructed families of ... | https://en.wikipedia.org/wiki/Linear_programming |
ior-point methods have been proposed and analyzed.
==== Vaidya's 87 algorithm ====
In 1987, Vaidya proposed an algorithm that runs in
O
(
n
3
)
{\displaystyle O(n^{3})}
time.
==== Vaidya's 89 al... | https://en.wikipedia.org/wiki/Linear_programming |
traints,
n
{\displaystyle n}
is the number of variables, and
L
{\displaystyle L}
is the number of bits.
==== Input sparsity time algorithms ====
In 2015, Lee and Sidford showed that linear programming can be solved in
... | https://en.wikipedia.org/wiki/Linear_programming |
n
n
z
(
A
)
{\displaystyle nnz(A)}
represents the number of non-zero elements, and it remains taking
O
(
n
2.5
L
)
... | https://en.wikipedia.org/wiki/Linear_programming |
/
6
)
L
)
{\displaystyle {\tilde {O}}((n^{\omega }+n^{2.5-\alpha /2}+n^{2+1/6})L)}
time,
ω
{\displaystyle \omega }
is the exponent of matrix multiplication and
... | https://en.wikipedia.org/wiki/Linear_programming |
)
{\displaystyle O(n^{2})}
time. In a followup work by Lee, Song and Zhang, they reproduce the same result via a different method. These two algorithms remain
O
~
(
... | https://en.wikipedia.org/wiki/Linear_programming |
2
+
1
/
6
L
)
{\displaystyle {\tilde {O}}(n^{2+1/6}L)}
to
O
~
(
... | https://en.wikipedia.org/wiki/Linear_programming |
ure of the solutions generated by interior point methods versus simplex-based methods are significantly different with the support set of active variables being typically smaller for the latter one.
== Open problems and recent work ==
There are several open problems in the theory of linear programming, the solution ... | https://en.wikipedia.org/wiki/Linear_programming |
heory." While algorithms exist to solve linear programming in weakly polynomial time, such as the ellipsoid methods and interior-point techniques, no algorithms have yet been found that allow strongly polynomial-time performance in the number of constraints and the number of variables. The development of such algorit... | https://en.wikipedia.org/wiki/Linear_programming |
nomial or even strongly polynomial time. It would be of great practical and theoretical significance to know whether any such variants exist, particularly as an approach to deciding if LP can be solved in strongly polynomial time.
The simplex algorithm and its variants fall in the family of edge-following algorithms, ... | https://en.wikipedia.org/wiki/Linear_programming |
. Questions about polytope diameter are of independent mathematical interest.
Simplex pivot methods preserve primal (or dual) feasibility. On the other hand, criss-cross pivot methods do not preserve (primal or dual) feasibility – they may visit primal feasible, dual feasible or primal-and-dual infeasible bases in any... | https://en.wikipedia.org/wiki/Linear_programming |
) problem. In contrast to linear programming, which can be solved efficiently in the worst case, integer programming problems are in many practical situations (those with bounded variables) NP-hard. 0–1 integer programming or binary integer programming (BIP) is the special case of integer programming where variables a... | https://en.wikipedia.org/wiki/Linear_programming |
ints are integers or – more general – where the system has the total dual integrality (TDI) property.
Advanced algorithms for solving integer linear programs include:
cutting-plane method
Branch and bound
Branch and cut
Branch and price
if the problem has some extra structure, it may be possible to apply delayed colum... | https://en.wikipedia.org/wiki/Linear_programming |
∣
x
∈
P
}
{\displaystyle \{\max cx\mid x\in P\}}
has an optimum
x
∗
{\displaystyle x^{*}}
with integer coordinates. As observed by Edmonds and Giles in 1977, one can eq... | https://en.wikipedia.org/wiki/Linear_programming |
an integral polyhedron; if this polyhedron has a nice/compact description, then we can efficiently find the optimal feasible solution under any linear objective. Conversely, if we can prove that a linear programming relaxation is integral, then it is the desired description of the convex hull of feasible (integral) sol... | https://en.wikipedia.org/wiki/Linear_programming |
omial time.
One common way of proving that a polyhedron is integral is to show that it is totally unimodular. There are other general methods including the integer decomposition property and total dual integrality. Other specific well-known integral LPs include the matching polytope, lattice polyhedra, submodular flow ... | https://en.wikipedia.org/wiki/Linear_programming |
Modular programming is a software design technique that emphasizes separating the functionality of a program into independent, interchangeable modules, such that each contains everything necessary to execute only one aspect or "concern" of the desired functionality.
A module interface expresses the elements that are pr... | https://en.wikipedia.org/wiki/Modular_programming |
re program into pieces: structured programming to the low-level code use of structured control flow, and object-oriented programming to the data use of objects, a kind of data structure.
In object-oriented programming, the use of interfaces as an architectural pattern to construct modules is known as interface-based pr... | https://en.wikipedia.org/wiki/Modular_programming |
odules were not included in the original specification for ALGOL 68 (1968), but were included as extensions in early implementations, ALGOL 68-R (1970) and ALGOL 68C (1970), and later formalized. One of the first languages designed from the start for modular programming was the short-lived Modula (1975), by Niklaus Wir... | https://en.wikipedia.org/wiki/Modular_programming |
modules, but later versions, notably UCSD Pascal (1978) and Turbo Pascal (1983) included them in the form of "units", as did the Pascal-influenced Ada (1980). The Extended Pascal ISO 10206:1990 standard kept closer to Modula2 in its modular support. Standard ML (1984) has one of the most complete module systems, includ... | https://en.wikipedia.org/wiki/Modular_programming |
e primary unit of code organization and "packages" as a larger-scale unit; and Perl 5 (1994) includes support for both modules and objects, with a vast array of modules being available from CPAN (1993). OCaml (1996) followed ML by supporting modules and functors.
Modular programming is now widespread, and found in virt... | https://en.wikipedia.org/wiki/Modular_programming |
le concept (a collection of packages with enhanced access control) was implemented.
Furthermore, the term "package" has other uses in software (for example .NET NuGet packages). A component is a similar concept, but typically refers to a higher level; a component is a piece of a whole system, while a module is a piece ... | https://en.wikipedia.org/wiki/Modular_programming |
, ML, Modula, Modula-2, Modula-3, Morpho, NEWP, Oberon, Oberon-2, Objective-C, OCaml, several Pascal derivatives (Component Pascal, Object Pascal, Turbo Pascal, UCSD Pascal), Perl, PHP, PL/I, PureBasic, Python, R, Ruby, Rust, JavaScript, Visual Basic (.NET) and WebDNA.
In the Java programming language, the term "packag... | https://en.wikipedia.org/wiki/Modular_programming |
various derivatives that included modules. JavaScript has had native modules since ECMAScript 2015. C++ modules have allowed backwards compatibility with headers (with "header units"). Dialects of C allow for modules, for example Clang supports modules for the C language, though the syntax and semantics of Clang C mod... | https://en.wikipedia.org/wiki/Modular_programming |
directed acyclic graph (DAG); in this case a cyclic dependency between modules is seen as indicating that these should be a single module. In the case where modules do form a DAG they can be arranged as a hierarchy, where the lowest-level modules are independent, depending on no other modules, and higher-level modules ... | https://en.wikipedia.org/wiki/Modular_programming |
" at run time.
These independent functions are commonly classified as either program control functions or specific task functions. Program control functions are designed to work for one program. Specific task functions are closely prepared to be applicable for various programs.
This makes modular designed systems, if ... | https://en.wikipedia.org/wiki/Modular_programming |
gree to which elements within a module belong together
Component-based software engineering – Engineering focused on building software from reusable components
Conway's law – Adage linking organization and system structure
Coupling (computer science) – Degree of interdependence between software modulesPages displaying ... | https://en.wikipedia.org/wiki/Modular_programming |
targets
Structured programming – Programming paradigm based on control flow
Cross-cutting concern – Concept in aspect-oriented software development
== References ==
== External links ==
How To Decompose a System into Modules
SMC Platform | https://en.wikipedia.org/wiki/Modular_programming |
Pair programming is a software development technique in which two programmers work together at one workstation. One, the driver, writes code while the other, the observer or navigator, reviews each line of code as it is typed in. The two programmers switch roles frequently.
While reviewing, the observer also considers ... | https://en.wikipedia.org/wiki/Pair_programming |
retically offset these expenses by reducing defects in the programs.
In addition to preventing mistakes as they are made, other intangible benefits may exist. For example, the courtesy of rejecting phone calls or other distractions while working together, taking fewer breaks at agreed-upon intervals or sharing breaks ... | https://en.wikipedia.org/wiki/Pair_programming |
ient working hours.
== Design quality ==
A system with two programmers possesses greater potential for the generation of more diverse solutions to problems for three reasons:
the programmers bring different prior experiences to the task;
they may assess information relevant to the task in different ways;
they stand ... | https://en.wikipedia.org/wiki/Pair_programming |
95% said that they were more confident in their work when they pair programmed. However, as the survey was among self-selected pair programmers, it did not account for programmers who were forced to pair program.
== Learning ==
Knowledge is constantly shared between pair programmers, whether in the industry or in a ... | https://en.wikipedia.org/wiki/Pair_programming |
am-building and communication ==
Pair programming allows team members to share quickly, making them less likely to have agendas hidden from each other. This helps pair programmers learn to communicate more easily. "This raises the communication bandwidth and frequency within the project, increasing overall information... | https://en.wikipedia.org/wiki/Pair_programming |
t concluded that "pair programming is not uniformly beneficial or effective."
Although pair programmers may complete a task faster than a solo programmer, the total number of man-hours increases. A manager would have to balance faster completion of the work and reduced testing and debugging time against the higher cost... | https://en.wikipedia.org/wiki/Pair_programming |
so risks reducing the quality of the program. Productivity can also drop when novice–novice pairing is used without sufficient availability of a mentor to coach them.
A study of programmers using AI assistance tools such as GitHub Copilot found that while some programmers conceived of AI assistance as similar to pair p... | https://en.wikipedia.org/wiki/Pair_programming |
the majority of coding activity. This can easily lead to disengagement.
== Pairing variations ==
Expert–expert
Expert–expert pairing may seem to be the obvious choice for the highest productivity and can produce great results, but it often yields little insight into new ways to solve problems, as both parties are unl... | https://en.wikipedia.org/wiki/Pair_programming |
tly better than two novices working independently, although this practice is generally discouraged because it is harder for novices to develop good habits without a proper role model.
== Remote pair programming ==
Remote pair programming, also known as virtual pair programming or distributed pair programming, is pair... | https://en.wikipedia.org/wiki/Pair_programming |
dio chat programs or VoIP software could be helpful when the screen sharing software does not provide two-way audio capability. Use of headsets keep the programmers' hands free
Cloud development environments
Collaborative pair programming services
== See also ==
Extreme programming
Joint attention
Team programming (a... | https://en.wikipedia.org/wiki/Pair_programming |
In computer science, declarative programming is a programming paradigm—a style of building the structure and elements of computer programs—that expresses the logic of a computation without describing its control flow.
Many languages that apply this style attempt to minimize or eliminate side effects by describing what... | https://en.wikipedia.org/wiki/Declarative_programming |
ogic programming (e.g. Prolog, Datalog, answer set programming), functional programming, configuration management, and algebraic modeling systems.
== Definition ==
Declarative programming is often defined as any style of programming that is not imperative. A number of other common definitions attempt to define it by ... | https://en.wikipedia.org/wiki/Declarative_programming |
programming, programs consist of sentences expressed in logical form, and computation uses those sentences to solve problems, which are also expressed in logical form.
In a pure functional language, such as Haskell, all functions are without side effects, and state changes are only represented as functions that transf... | https://en.wikipedia.org/wiki/Declarative_programming |
programming paradigms.
=== Constraint programming ===
Constraint programming states relations between variables in the form of constraints that specify the properties of the target solution. The set of constraints is solved by giving a value to each variable so that the solution is consistent with the maximum numbe... | https://en.wikipedia.org/wiki/Declarative_programming |
.
Many markup languages such as HTML, MXML, XAML, XSLT or other user-interface markup languages are often declarative. HTML, for example, only describes what should appear on a webpage - it specifies neither control flow for rendering a page nor the page's possible interactions with a user.
As of 2013, some software sy... | https://en.wikipedia.org/wiki/Declarative_programming |
nctional programming places little emphasis on explicit sequencing. Instead, computations are characterised by various kinds of recursive higher-order function application and composition, and as such can be regarded simply as a set of mappings between domains and codomains. Many functional languages, including most of... | https://en.wikipedia.org/wiki/Declarative_programming |
owing that the goal is true in a model defined by the program. Prolog computes by reducing goals to subgoals, top-down using backward reasoning, whereas most Datalog systems compute bottom-up using forward reasoning. Answer set programs typically use SAT solvers to generate a model of the program.
=== Modeling ===
M... | https://en.wikipedia.org/wiki/Declarative_programming |
and Simile.
== Examples ==
=== Lisp ===
Lisp is a family of programming languages loosely inspired by mathematical notation and Alonzo Church's lambda calculus. Some dialects, such as Common Lisp, are primarily imperative but support functional programming. Others, such as Scheme, are designed for functional progra... | https://en.wikipedia.org/wiki/Declarative_programming |
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