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Algebraic Logic Functional (ALF) programming language combines functional and logic programming techniques. Its foundation is Horn clause logic with equality
Algebraic Logic Functional programming language
Algebraic_Logic_Functional_programming_language
Agilent VEE (Keysight VEE) Agora AIMMS Aldor Alef Algebraic Logic Functional programming language (ALF) ALGOL 58 ALGOL 60 ALGOL 68 ALGOL W Alice ML Alma-0
List_of_programming_languages
Programming paradigm based on applying and composing functions
functional programming is a programming paradigm where programs are constructed by applying and composing functions. It is a declarative programming paradigm
Functional_programming
Topics referred to by the same term
Foundational UML Advanced Library Format, an ASIC databook Algebraic Logic Functional programming language Algorithms for Lattice Fermions, a Quantum Monte Carlo
ALF
Programming language
functional and logic programming, including constraint programming integration. It is nearly a superset of Haskell but does not support all language extensions
Curry_(programming_language)
Mathematical study of the meaning of programming languages
In programming language theory, semantics is the rigorous mathematical logic study of the meaning of programming languages. Semantics assigns computational
Semantics (programming languages)
Semantics_(programming_languages)
Programming paradigm based on modeling the logic of a computation
parallel programs. Common declarative language paradigms include logic programming (e.g., Prolog, Datalog, answer set programming), and algebraic modeling
Declarative_programming
Programmable digital computer used to control machinery
programming language focused on logic and switching operations, it was more user-friendly than computers using general-purpose programming languages.
Programmable_logic_controller
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
Logical connective AND
In logic, mathematics and linguistics, and ( ∧ {\displaystyle \wedge } ) is the truth-functional operator of conjunction or logical conjunction. The logical
Logical_conjunction
Continuation that returns a value
for functional backtracking, e.g., for pattern matching, for parsing, in the Algebraic Logic Functional programming language, and in the functional implementations
Delimited_continuation
Type of programming language
concatenative languages form the algebraic structure of a monoid. Concatenative languages can be made well-suited to an implementation inspired by linear logic where
Concatenative programming language
Concatenative_programming_language
Programming language
Flix is a functional, imperative, and logic programming language developed at Aarhus University, with funding from the Independent Research Fund Denmark
Flix_(programming_language)
Multi-paradigm programming language
Go! is an agent-based programming language in the tradition of logic-based programming languages like Prolog. It was introduced in a 2003 paper by Francis
Go!_(programming_language)
Lisp dialect
multi-paradigm programming language. The Racket language is a modern dialect of Lisp and a descendant of Scheme. It is designed as a platform for programming language
Racket_(programming_language)
Concept in functional programming
In functional programming, a generalized algebraic data type (GADT, also first-class phantom type, guarded recursive datatype, or equality-qualified type)
Generalized algebraic data type
Generalized_algebraic_data_type
Algebraic manipulation of "true" and "false"
his algebra and logic was later put on firm ground in the setting of algebraic logic, which also studies the algebraic systems of many other logics. The
Boolean_algebra
Handheld calculator operating system
18C, 19B and 27S. RPL is a structured programming language based on RPN, but equally capable of processing algebraic expressions and formulae, implemented
RPL_(programming_language)
Programming language family
In Salus, Peter H. (ed.). Handbook of programming languages. Vol. IV, Functional and logic programming languages (1st ed.). Indianapolis, IN: Macmillan
Lisp_(programming_language)
Functional programming language
Agda is a dependently typed functional programming language originally developed by Ulf Norell at Chalmers University of Technology with implementation
Agda_(programming_language)
Data type defined by combining other types
In computer programming, especially in functional programming and type theory, an algebraic data type (ADT) is a composite data type, i.e. a type formed
Algebraic_data_type
Programming paradigm based on objects
Object-oriented programming (OOP) is a programming paradigm based on objects – software entities that encapsulate data and function(s).[clarification needed]
Object-oriented_programming
Design pattern in functional programming to build generic types
In functional programming, monads are a way to structure computations as a sequence of steps, where each step not only produces a value but also some extra
Monad (functional programming)
Monad_(functional_programming)
Concept in mathematical logic
In logic, a functionally complete set of logical connectives or Boolean operators is one that can be used to express all possible truth tables by combining
Functional_completeness
Class of formal logics
George Boole's algebraic reformulation of logic, so-called Boolean logic, was a predecessor of modern mathematical logic and classical logic. William Stanley
Classical_logic
Process in digital electronics and integrated circuit design
optimization methods Algebraic optimization methods Graphical methods represent the required logical function by a diagram representing the logic variables and
Logic_optimization
General-purpose programming language
C is a general-purpose programming language created in the 1970s by Dennis Ritchie. By design, C gives programmers relatively direct access to the features
C_(programming_language)
Overview of and topical guide to logic
Classical logic Computability logic Deontic logic Dependence logic Description logic Deviant logic Doxastic logic Epistemic logic First-order logic Formal
Outline_of_logic
Transforming a function in such a way that it only takes a single argument
Currying is useful in both practical and theoretical settings. In functional programming languages, and many others, it provides a way of automatically managing
Currying
Symbol connecting formulas in logic
connectives and those of classical logic have motivated nonclassical approaches to natural language meaning. In formal languages, truth functions are denoted
Logical_connective
object-oriented programming using message passing. Haskell is a purely functional programming language. Lazy evaluation and the list and LogicT monads make
List of programming languages for artificial intelligence
List_of_programming_languages_for_artificial_intelligence
Study of the semantics, or interpretations, of formal and natural languages
Saul Kripke and others for modal logic and related systems), algebraic semantics (connecting logic to abstract algebra), and game semantics (interpreting
Semantics_(logic)
Mathematical software
proving Algebraic modeling language Constraint-logic programming Satisfiability modulo theories van Hulzen, J. A.; Calmet, J. (1983). "Computer Algebra Applications"
Computer_algebra_system
Subfield of mathematics
Algebraic logic uses the methods of abstract algebra to study the semantics of formal logics. A fundamental example is the use of Boolean algebras to
Mathematical_logic
list of functional programming topics. Programming paradigm Declarative programming Programs as mathematical objects Function-level programming Purely
List of functional programming topics
List_of_functional_programming_topics
Concept in computer science
upon early work by Rod Burstall. The assertion language of separation logic is a special case of the logic of bunched implications (BI). A CACM review article
Separation_logic
of programming languages, an applicative programming language is built out of functions applied to arguments. Applicative languages are functional, and
Applicative programming language
Applicative_programming_language
Programming language
type-checking overhead, functional programming languages are, in general, challenging to compile to efficient machine language code, due to issues such
OCaml
Functional programming language for arrays
modeling, spreadsheets, functional programming, and computer math packages. It has also inspired several other programming languages. A mathematical notation
APL_(programming_language)
Logical connective OR
aloud as "or". For instance, the English language sentence "it is sunny or it is warm" can be represented in logic using the disjunctive formula S ∨ W {\displaystyle
Logical_disjunction
of Boole's algebraic system suggested that all logic must be capable of algebraic representation, and there were attempts to express a logic of relations
History_of_logic
General-purpose functional programming language
functional programming language with compile-time type checking and type inference. It is popular for writing compilers, for programming language research
Standard_ML
Study of correct reasoning
arguments expressed in natural language whereas formal logic uses formal language. When used as a countable noun, the term "a logic" refers to a specific logical
Logic
Computer science concept
A programming language consists of a system of allowed sequences of symbols (constructs) together with rules that define how each construct is interpreted
Type_system
Branch of logic
comparison with first-order logic, truth-functional propositional logic is considered to be zeroth-order logic. Although propositional logic had been hinted by
Propositional_logic
Type of logical system
First-order logic, also called predicate logic, predicate calculus, or quantificational logic, is a type of formal system used in mathematics, philosophy
First-order_logic
Value indicating the relation of a proposition to truth
non-truth-valuational logics can associate values with logical formulae, as is done in algebraic semantics. The algebraic semantics of intuitionistic logic is given
Truth_value
Functional programming language
typed, purely functional programming language with type inference and lazy evaluation. Haskell pioneered several programming language features including
Haskell
between functional programming and abstract algebraic models of reversibility. ROOPL: The first reversible object-oriented programming language. It extends
Reversible programming language
Reversible_programming_language
Computer programming language
combinatory logic (BCL) is a computer programming language that uses binary terms 0 and 1 to create a complete formulation of combinatory logic using only
Binary_combinatory_logic
List of programming software
Object-Oriented (OO), Functional Programming (FP) Constructs, and dynamic Metadata Programming (MP) EPL (Event Processing Language), a domain-specific,
List_of_JVM_languages
Computer programming for quantum computers
main groups of quantum programming languages: imperative quantum programming languages and functional quantum programming languages. The most prominent representatives
Quantum_programming
Metamodel for the Design of Polychronous Systems. Journal of Logic and Algebraic Programming, 78(4): 233-259, Elsevier, April 2009. J.-P. Talpin, C. Brunette
SIGNAL_(programming_language)
approximation theorem (algebraic topology) Dold–Thom theorem (algebraic topology) Eilenberg–Ganea theorem (homological algebra, algebraic topology) Eilenberg–Zilber
List_of_theorems
Branch of logic
state and can be more approachable. An algebraic model of bunched logic is a poset that is a Heyting algebra and that carries an additional commutative
Bunched_logic
Proving or disproving the correctness of certain intended algorithms
process algebra, formal semantics of programming languages such as operational semantics, denotational semantics, axiomatic semantics and Hoare logic. Model
Formal_verification
Programming languages are used for controlling the behavior of a machine (often a computer). Like natural languages, programming languages follow rules
Comparison of programming languages
Comparison_of_programming_languages
Device performing a Boolean function
Field-programmable gate array (FPGA) Flip-flop (electronics) Functional completeness Integrated injection logic Karnaugh map Combinational logic List of
Logic_gate
Teaching Functional and Logic Programming with a Single Computation Model. In Proc. Ninth International Symposium on Programming Languages, Implementations
List of educational programming languages
List_of_educational_programming_languages
Executing several computations during overlapping time periods
system programming, with a concurrent programming model based on communicating sequential processes (CSP) Haskell – concurrent, and parallel functional programming
Concurrent_computing
Hierarchical typed logic
is similar to types in typeful programming. Both functional and assertive "parts of speech" in the language of the logic reflect this typeful partitioning
Many-sorted_logic
Rules used for constructing, or transforming the symbols and words of a language
governing the composition of well-formed expressions in a programming language. As in mathematical logic, it is independent of semantics and interpretation.
Syntax_(logic)
System including an indeterminate value
an axiomatic algebraic form, and also extended to n-valued logics in 1945. Around 1910, Charles Sanders Peirce defined a many-valued logic system, but
Three-valued_logic
mathematics Formal language Principia Mathematica Hilbert's program Impredicative Definable real number Algebraic logic Boolean algebra (logic) Dialectica space
List of mathematical logic topics
List_of_mathematical_logic_topics
Relationship between programs and proofs
designed to act both as a proof system and as a typed programming language based on functional programming. This includes Martin-Löf's intuitionistic type theory
Curry–Howard_correspondence
Logical formalism using combinators instead of variables
logic has been used to model some non-strict functional programming languages and hardware. The purest form of this view is the programming language Unlambda
Combinatory_logic
Various systems of symbolic logic
logic, sometimes more generally called constructive logic, refers to systems of symbolic logic that differ from the systems used for classical logic by
Intuitionistic_logic
Model of concurrent computation
quantum mechanics.[citation needed] It was also influenced by the programming languages Lisp, Simula, early versions of Smalltalk, capability-based systems
Actor_model
True when either but not both inputs are true
represent any logic obtainable with the system ( ∧ , ∨ ) {\displaystyle (\land ,\lor )} and has the added benefit of the arsenal of algebraic analysis tools
Exclusive_or
linear logic (1992), Bellantoni and Cook’s function algebra based on predicative recursion (1992), and Jones’s cons-free programming language characterisation
Implicit computational complexity
Implicit_computational_complexity
Process by which desired circuit behavior is turned into a schematic of logic gates
in hardware description languages, including VHDL and Verilog. Some synthesis tools generate bitstreams for programmable logic devices such as PALs or
Logic_synthesis
Mathematics notation where operators follow operands
Brand, Jason; Poulton, Matthew (1994). "Calculator logic: when and why is RPN superior to algebraic?". Applied Ergonomics. 25 (5). Elsevier Science Ltd
Reverse_Polish_notation
Declarative logic programming language
Datalog is a declarative logic programming language. While it is syntactically a subset of Prolog, Datalog generally uses a bottom-up rather than top-down
Datalog
first-order logic powerful intuitive user-level programming language. The REDUCE language is a high-level structured programming language based on ALGOL
Reduce (computer algebra system)
Reduce_(computer_algebra_system)
Series of Casio graphing calculators
series. The Algebra FX series is capable of compiling programs inside a Program menu. The calculators employ a BASIC-based programming language, unofficially
Casio_Algebra_FX_Series
Language for controlling a computer
which was supported by newer programming languages. Lisp, implemented in 1958, was the first functional programming language. Unlike Fortran, it supported
Programming_language
Programmable graphing calculator
RPL, or with programming in Saturn or ARM assembler language. The calculator supports programming in a new, Pascal-like programming language now named HP
HP_Prime
Ability of a computing system to simulate Turing machines
(such as a model of computation, a computer's instruction set, a programming language, or a cellular automaton) is said to be Turing-complete or computationally
Turing_completeness
Symbolic description of a mathematical object
Closed-form expression Formal calculation Functional programming Infinite expression Number sentence Rewriting Signature (logic) The study of non-computable statements
Expression_(mathematics)
Sequence of words formed by specific rules
In logic, mathematics, computer science, and linguistics, a formal language is a set of strings whose symbols are taken from a set called "alphabet". The
Formal_language
Methods in artificial intelligence research
computer programming, and algebra to school children. Inductive logic programming was another approach to learning that allowed logic programs to be synthesized
Symbolic artificial intelligence
Symbolic_artificial_intelligence
International Conference on Logic Programming OOPSLA – ACM SIGPLAN Conference on Object-Oriented Programming, Systems, Languages, and Applications POPL –
List of computer science conferences
List_of_computer_science_conferences
Function in logic
logical connectives used are said to be truth functional. Classical propositional logic is a truth-functional logic, in that every statement has exactly one
Truth_function
Mathematical use of "for all" and "there exists"
In logic, a quantifier is an operator that specifies how many individuals in the domain of discourse satisfy an open formula. For instance, the universal
Quantifier_(logic)
of the use of Arbiters that the Actor model was more powerful than logic programming (see indeterminacy in concurrent computation). A family of Prolog-like
Actor_model_later_history
Branch of mathematical logic
Proof theory is a major branch of mathematical logic and theoretical computer science within which proofs are treated as formal mathematical objects,
Proof_theory
Mathematical theory of data types
in programming: it specifies what kind of thing an expression is and how it may be used. Type theories are used in the study of programming languages (type
Type_theory
Programming language which first appeared in 1990
programming language. It is the successor of A# as the extension language of the Axiom computer algebra system. Aldor combines imperative, functional
Aldor
Type of residuated Boolean algebra with extra structure
relation. Relation algebra emerged in the 19th-century work of Augustus De Morgan and Charles Peirce, which culminated in the algebraic logic of Ernst Schröder
Relation_algebra
Mathematical term; concerning axioms used to derive theorems
dynamic situation in the foundations of algebraic geometry, following the publication of Foundations of Algebraic Geometry by André Weil. Quantum field
Axiomatic_system
Operation in algebra and mathematics
impure functional and imperative programming languages. In categorical logic, an analogy has been drawn between the monad-comonad theory, and modal logic via
Monad_(category_theory)
OBJ is a programming language family introduced by Joseph Goguen in 1976, and further worked on by Jose Meseguer. It is a family of declarative "ultra
OBJ_(programming_language)
Technology; a specification language inspired by process calculi, functional programming languages, and imperative programming languages; LNT was designed as
List_of_model_checking_tools
Form of type polymorphism
functional programming languages that support both features. Some systems also support subtyping of labeled disjoint union types (such as algebraic data
Subtyping
Computer programming paradigm
programming language Functional programming, declarative programming (compare) Tacit programming Value-level programming, imperative programming (contrast)
Function-level_programming
Study of discrete mathematical structures
fields. Algebraic structures occur as both discrete examples and continuous examples. Discrete algebras include: Boolean algebra used in logic gates and
Discrete_mathematics
Basic concepts of algebra
relationships in science and mathematics are expressed as algebraic equations. In mathematics, a basic algebraic operation is a mathematical operation similar to
Elementary_algebra
Type of formal logic
Modal logic is a kind of logic used to represent statements about necessity and possibility. In philosophy and related fields it is used as a tool for
Modal_logic
Syntactically correct logical formula
In mathematical logic, propositional logic, and predicate logic, a well-formed formula, abbreviated WFF or wff, often simply formula, is a finite sequence
Well-formed_formula
Logic gate
Jpq, and ⊻ can be used to denote an XOR operation in algebraic expressions. C-like languages use the caret symbol ^ to denote bitwise XOR. (Note that
XOR_gate
ALGEBRAIC LOGIC-FUNCTIONAL-PROGRAMMING-LANGUAGE
ALGEBRAIC LOGIC-FUNCTIONAL-PROGRAMMING-LANGUAGE
Girl/Female
Arabic, Muslim, Pashtun
Logic; Reason
Male
Egyptian
, an Egyptian functionary.
Girl/Female
Tamil
Vinyasa | விநà¯à®¯à®¾à®¸
A yogic posture
Vinyasa | விநà¯à®¯à®¾à®¸
Girl/Female
Tamil
Trick, Power, Strategy, Solution by logic, By reasoning
Male
Egyptian
, Functionary of the Interior.
Male
Egyptian
, the son of the functionary Heknofre.
Boy/Male
Tamil
Full of feathers, Full of logic, Name of sage, Vatsyayan
Girl/Female
Gujarati, Hindu, Indian, Kannada, Tamil
Trick; Power; Strategy; Solution by Logic; By Reasoning
Male
Egyptian
, a great functionary.
Male
Egyptian
, a high Egyptian functionary.
Girl/Female
British, English
15th Century
Girl/Female
Tamil
Trick, Power, Strategy, Solution by logic, By reasoning
Boy/Male
Hindu
Full of feathers, Full of logic, Name of sage, Vatsyayan
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Male
Egyptian
, an Egyptian functionary.
Boy/Male
English
The fictional character Jorel father of Superman.
Girl/Female
Indian, Sanskrit
A Yogic Posture
Boy/Male
English
The fictional character Jorel father of Superman.
Girl/Female
Hindu
Trick, Power, Strategy, Solution by logic, By reasoning
Male
Celtic
, great justiciary, or functionary.
ALGEBRAIC LOGIC-FUNCTIONAL-PROGRAMMING-LANGUAGE
ALGEBRAIC LOGIC-FUNCTIONAL-PROGRAMMING-LANGUAGE
Girl/Female
American, British, English
Youthful; Jove's Child
Girl/Female
Indian
Sacred, Pure, Comparable to the ganges, Another name for Durga, ***, Another name for Durga
Girl/Female
Muslim
Generous
Female
Egyptian
, self-existence + life, living + people.
Boy/Male
French, German
Army Man; Form of Herman
Girl/Female
Indian
Is associated to Lord Ayyappa
Girl/Female
Tamil
Somdatta | ஸோமà¯à®¤à®¾à®¤à¯à®¤à®¾Â
Moon, Religious drink
Boy/Male
Irish American Celtic Gaelic English
Manly.
Girl/Female
Hindu
Decorated with flowers, One that has flowered
Girl/Female
Indian
Good
ALGEBRAIC LOGIC-FUNCTIONAL-PROGRAMMING-LANGUAGE
ALGEBRAIC LOGIC-FUNCTIONAL-PROGRAMMING-LANGUAGE
ALGEBRAIC LOGIC-FUNCTIONAL-PROGRAMMING-LANGUAGE
ALGEBRAIC LOGIC-FUNCTIONAL-PROGRAMMING-LANGUAGE
ALGEBRAIC LOGIC-FUNCTIONAL-PROGRAMMING-LANGUAGE
v. t.
To perform by algebra; to reduce to algebraic form.
n.
A derived function; a function obtained from a given function by a certain algebraic process.
adv.
By algebraic process.
n.
See Logic.
a.
Relating to friction; moved by friction; produced by friction; as, frictional electricity.
n.
Logic illustrated by physics.
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
a.
Of or pertaining to logic; used in logic; as, logical subtilties.
n.
A treatise on logic; as, Mill's Logic.
v. i.
To execute or perform a function; to transact one's regular or appointed business.
a.
Pertaining to, or connected with, a function or duty; official.
a.
Relatively small; inconsiderable; insignificant; as, a fractional part of the population.
a.
Alt. of Algebraical
v. i.
Alt. of Functionate
adv.
In a functional manner; as regards normal or appropriate activity.
a.
Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings.
a.
Of or pertaining to fractions or a fraction; constituting a fraction; as, fractional numbers.
n.
One versed in algebra.
a.
Pertaining to the function of an organ or part, or to the functions in general.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.