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Logic for mathematics
Algorithmic logic is a calculus of programs that allows the expression of semantic properties of programs by appropriate logical formulas. It provides
Algorithmic_logic
Sequence of operations for a task
aversion Algorithm engineering Algorithm characterizations Algorithmic bias Algorithmic composition Algorithmic entities Algorithmic synthesis Algorithmic technique
Algorithm
Method of deriving conclusions
of deriving conclusions from premises. They are integral parts of formal logic, serving as the logical structure of valid arguments. If an argument with
Rule_of_inference
Extension of modal logic
relations and regular expressions. Hoare logic, algorithmic logic, weakest preconditions, and dynamic logic are all well suited to discourse and reasoning
Dynamic_logic_(modal_logic)
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
Device performing a Boolean function
model of all of Boolean logic, and therefore, all of the algorithms and mathematics that can be described with Boolean logic. Logic circuits include such
Logic_gate
Inference rule in logic, proof theory, and automated theorem proving
For first-order logic, resolution can be used as the basis for a semi-algorithm for the unsatisfiability problem of first-order logic, providing a more
Resolution_(logic)
Subfield of mathematics
Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory
Mathematical_logic
In logic, a statement which is always true
In mathematical logic, a tautology (from Ancient Greek: ταυτολογία) is a formula that is true regardless of the interpretation of its component terms
Tautology_(logic)
Combinational digital circuit
In computing, an arithmetic logic unit (ALU) is a combinational digital circuit that performs arithmetic and bitwise operations on integer binary numbers
Arithmetic_logic_unit
System for reasoning about vagueness
Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the concept
Fuzzy_logic
Technological phenomenon with social implications
transfer a particular logic into an algorithmic process, the BNAP inscribed the logic of the British Nationality Act into its algorithm, which would perpetuate
Algorithmic_bias
Representation or imitation of a person or thing
but are autonomous systems that generate their own reality through algorithmic logic and economic scarcity. Baudrillard’s "Third Order of Simulacra" describes
Simulacrum
System including an indeterminate value
three-valued logic (also trinary logic, trivalent, ternary, or trilean, sometimes abbreviated 3VL) is any of several many-valued logic systems in which
Three-valued_logic
Art genre
Algorithmic art or algorithm art is art, mostly visual art, in which the design is generated by an algorithm. Algorithmic artists are sometimes called
Algorithmic_art
Essays on Algorithmic Culture. Other definitions include Ted Striphas' work, where algorithmic culture refers to the ways in which the logic of big data
Algorithmic_culture
Overview of and topical guide to algorithms
Latinized name is associated with the word algorithm Algorithmic logic — logic-based study of programs and algorithms Computability theory — study of what can
Outline_of_algorithms
Method of executing orders
simple retail tools. Algorithmic trading is widely used in equities, futures, crypto, and foreign exchange markets. The term algorithmic trading is often
Algorithmic_trading
Computer programming language
Bits: Lambda Calculus based Algorithmic Information Theory" (PDF). tromp.github.io. John's Lambda Calculus and Combinatory Logic Playground A minimal implementation
Binary_combinatory_logic
Subfield of information theory and computer science
and the relations between them: algorithmic complexity, algorithmic randomness, and algorithmic probability. Algorithmic information theory principally
Algorithmic information theory
Algorithmic_information_theory
Logical formulation of graph properties
{\displaystyle G} . The algorithmic problem of model checking concerns testing whether a given graph models a given sentence. The algorithmic problem of satisfiability
Logic_of_graphs
Artificial intelligence algorithm
algorithm based on propositional logic. A Tsetlin machine is a form of learning automaton collective for learning patterns using propositional logic.
Tsetlin_machine
Type of search algorithm
In logic and computer science, the Davis–Putnam–Logemann–Loveland (DPLL) algorithm is a complete, backtracking-based search algorithm for deciding the
DPLL_algorithm
Study of correct reasoning
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical
Logic
Algorithm that employs a degree of randomness as part of its logic or procedure
A randomized algorithm is an algorithm that employs a degree of randomness as part of its logic or procedure. The algorithm typically uses uniformly random
Randomized_algorithm
Method in programming
Clare, Christopher "Chris" R. (February 1971) [November 1970]. Logic Design of Algorithmic State Machines. Hewlett-Packard Laboratories, USA: Hewlett-Packard
Algorithmic_state_machine
This is a list of artificial intelligence algorithms, including algorithms and algorithmic methods used in artificial intelligence (AI) for search, automated
List of artificial intelligence algorithms
List_of_artificial_intelligence_algorithms
Process by which platform algorithms increase the reach of certain content
behaviour, and from algorithmic bias, which describes systematic errors or unfairness in algorithmic outputs. The related term algorithmic curation is used
Algorithmic_amplification
Algorithmic process of solving equations
In logic and computer science, specifically automated reasoning, unification is an algorithmic process of solving equations between symbolic expressions
Unification (computer science)
Unification_(computer_science)
Type of formal logic
Paraconsistent logic is a type of non-classical logic that allows for the coexistence of contradictory statements without leading to a logical explosion
Paraconsistent_logic
Symbol representing a property or relation in logic
In logic, a predicate is a non-logical symbol that represents a property or a relation, though, formally, does not need to represent anything at all.
Predicate_(logic)
Logical formalism using combinators instead of variables
Combinatory logic is a notation to eliminate the need for quantified variables in mathematical logic. It was introduced by Moses Schönfinkel and Haskell
Combinatory_logic
Basic circuit in quantum computing
computation, a quantum logic gate (or simply quantum gate) is a basic quantum circuit operating on a small number of qubits. Quantum logic gates are the building
Quantum_logic_gate
Digital audio workstation
Notator Logic, or Logic, by German software developer C-Lab which later went by Emagic. Apple acquired Emagic in 2002 and rebranded Logic to Logic Pro, adding
Logic_Pro
Yes-or-no question that cannot ever be solved by a computer
first-order logic statements about natural numbers. Then we can build an algorithm that enumerates all these statements. This means that there is an algorithm N(n)
Undecidable_problem
Process in digital electronics and integrated circuit design
Logic optimization is a process of finding an equivalent representation of the specified logic circuit under one or more specified constraints. This process
Logic_optimization
Deliberate process that transforms inputs to outputs with variable change
simple algorithmic calculation. Extracting the square root or the cube root of a number using mathematical models is a more complex algorithmic calculation
Calculation
Computer program for complexity reduction of digital logic circuits
ESPRESSO logic minimizer is a computer program using heuristic and specific algorithms for efficiently reducing the complexity of digital logic gate circuits
Espresso heuristic logic minimizer
Espresso_heuristic_logic_minimizer
Alternative form of government or social ordering
also referred to as algorithmic regulation, regulation by algorithms, algorithmic governance, algocratic governance, algorithmic legal order, or algocracy
Government_by_algorithm
Learning logic programs from data
"Efficient Induction of Logic Programs". In Arikawa, Setsuo; Goto, Shigeki; Ohsuga, Setsuo; Yokomori, Takashi (eds.). Algorithmic Learning Theory, First
Inductive_logic_programming
Process by which desired circuit behavior is turned into a schematic of logic gates
In computer engineering, logic synthesis is a process by which an abstract specification of desired circuit behavior, typically at register transfer level
Logic_synthesis
Family of formal knowledge representation
Description logics (DL) are a family of formal knowledge representation languages. Many DLs are more expressive than propositional logic but less expressive
Description_logic
The history of logic deals with the study of the development of the science of valid inference (logic). Formal logics developed in ancient times in India
History_of_logic
Logic used to describe behaviours of concurrent systems
Temporal logic of actions (TLA) is a logic developed by Leslie Lamport, which combines temporal logic with a logic of actions. It is used to describe
Temporal_logic_of_actions
Branch of logic
Propositional logic is a branch of classical logic. It is also called statement logic, sentential calculus, propositional calculus, sentential logic, or sometimes
Propositional_logic
Subset of artificial intelligence
paradigms: the data model and the algorithmic model, wherein "algorithmic model" means more or less the machine learning algorithms like Random forest.[clarification
Machine_learning
Check the validity of a logic formula
In logic and computer science, the Davis–Putnam algorithm was developed by Martin Davis and Hilary Putnam for checking the validity of a first-order logic
Davis–Putnam_algorithm
Form of second-order logic
It is particularly important in the logic of graphs, because of Courcelle's theorem, which provides algorithms for evaluating monadic second-order formulas
Monadic_second-order_logic
Propositional calculus in which there are more than two truth values
Many-valued logic (also multi- or multiple-valued logic) is a propositional calculus in which there are more than two truth values. Traditionally, in
Many-valued_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
Impossible task in computing
structure. Such an algorithm was proven to be impossible by Alonzo Church and Alan Turing in 1936. By the completeness theorem of first-order logic, a statement
Entscheidungsproblem
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
Type of statistical inference
In logic, statistical inference, and supervised learning, transduction or transductive inference is reasoning from observed, specific (training) cases
Transduction (machine learning)
Transduction_(machine_learning)
This is a list of mathematical logic topics. For traditional syllogistic logic, see the list of topics in logic. See also the list of computability and
List of mathematical logic topics
List_of_mathematical_logic_topics
Problem solving method
proceed—such as a physical maze, a logic puzzle, or an ethical dilemma—through an exhaustive application of logic to all available routes. It is the particular
Ariadne's_thread_(logic)
Programmable digital computer used to control machinery
A programmable logic controller (PLC) or programmable controller is an industrial computer that has been ruggedized and adapted for the control of manufacturing
Programmable_logic_controller
1st episode of the 3rd series of Black Mirror
25 December 2017. Migozzi, Julien (22 August 2022). "Apartheid by Algorithm". Logic Magazine (17). Retrieved 26 September 2022. Chozick, Amy (17 January
Nosedive_(Black_Mirror)
Use of functions that call themselves
iteration, recursion is generally less efficient, and, for certain problems, algorithmic or compiler-optimization techniques such as tail call optimization may
Recursion_(computer_science)
American journalist
internalized mode of thinking influenced by efficiency, quantification, and algorithmic logic. The theme parallels broader critiques of technological modernity
Erik_J._Larson
Consensus algorithm
was meant to be more understandable than Paxos by means of separation of logic, but it is also formally proven safe and offers some additional features
Raft_(algorithm)
Method to analyze non-binary inputs
approaches such as genetic algorithms and neural networks can perform just as well as fuzzy logic in many cases, fuzzy logic has the advantage that the
Fuzzy_control_system
Mechanism allowing a machine to test itself
(pBIST) Memory built-in self-test (mBIST) - e.g. with the Marinescu algorithm Logic built-in self-test (LBIST) Analog and mixed-signal built-in self-test
Built-in_self-test
Form of logic that allows quantification over predicates
In logic and mathematics, second-order logic is an extension of first-order logic, which itself is an extension of propositional logic. Second-order logic
Second-order_logic
Responsibility to design fair algorithms
Algorithmic accountability refers to the allocation of responsibility for the consequences of real-world actions influenced by algorithms used in decision-making
Algorithmic_accountability
Problem of determining if a Boolean formula could be made true
phase transition coincides with the known algorithmic threshold, suggesting a link between geometry and algorithmic intractability. Conjunctive normal form
Boolean satisfiability problem
Boolean_satisfiability_problem
Conference on Tools and Algorithms for the Construction and Analysis of Systems RuleML - RuleML Symposium WoLLIC - Workshop on Logic, Language, Information
List of computer science conferences
List_of_computer_science_conferences
Formal system of logic
In mathematics and logic, a higher-order logic (abbreviated HOL) is a form of logic that is distinguished from first-order logic by additional quantifiers
Higher-order_logic
Study of discrete mathematical structures
heavily on graph theory and mathematical logic. Included within theoretical computer science is the study of algorithms and data structures. Computability studies
Discrete_mathematics
Card game
conditional flow, loops, and other control structures as well as basic algorithmic logic. While it contains many of the hallmarks of a Turing complete language
Src:Card
True when either but not both inputs are true
Antoine (2009). "9.2: Algebraic normal forms of Boolean functions". Algorithmic Cryptanalysis. CRC Press. pp. 285–286. ISBN 9781420070033. Aloni, Maria
Exclusive_or
Overview of and topical guide to computer programming
of algorithms Empirical algorithmics Big O notation Algorithmic efficiency Algorithmic information theory Algorithmic probability Algorithmically random
Outline of computer programming
Outline_of_computer_programming
Quantum algorithm for integer factorization
Shor's algorithm is a quantum algorithm for finding the prime factors of an integer. It was developed in 1994 by the American mathematician Peter Shor
Shor's_algorithm
Input where a function output does not matter
minimizing logic circuit design, including graphical methods like Karnaugh–Veitch maps and algebraic methods such as the Quine–McCluskey algorithm. In 1958
Don't-care_term
International specialist organization
Association for Symbolic Logic (ASL) is an international organization of specialists in mathematical logic and philosophical logic. The ASL was founded in
Association for Symbolic Logic
Association_for_Symbolic_Logic
Theory of logic to account for observations from quantum theory
In the mathematical study of logic and the physical analysis of quantum foundations, quantum logic is a set of rules for manipulation of propositions
Quantum_logic
Property of an algorithm
science, algorithmic efficiency is a property of an algorithm which relates to the amount of computational resources used by the algorithm. Algorithmic efficiency
Algorithmic_efficiency
Soviet mathematician (1903–1987)
mathematics of topology, intuitionistic logic, turbulence, classical mechanics, functional analysis, algorithmic information theory and computational complexity
Andrey_Kolmogorov
Smallest transitive relation containing a given binary relation
model theory, first-order logic (FO) extended with a transitive closure operator is usually called transitive closure logic, and abbreviated FO(TC) or
Transitive_closure
Computer hardware technology that uses quantum mechanics
large language models and evolutionary algorithms, has been described as a coding agent for scientific and algorithmic discovery. In quantum-computing research
Quantum_computing
Overview of and topical guide to machine learning
mutual information AIVA AIXI AlchemyAPI AlexNet Algorithm selection Algorithmic inference Algorithmic learning theory AlphaGo AlphaGo Zero Alternating
Outline_of_machine_learning
Logics for computability are formulations of logic that capture some aspect of computability as a basic notion. This usually involves a mix of special
Logics_for_computability
Concept in computer science
verification (where an algorithm checks the validity of another algorithm) and automated parallelization of software. Separation logic assertions describe
Separation_logic
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
Model of communication
pathways shaped by network structures, platform affordances, and algorithmic logics." One Step, Two Step, Network Step? Complementary Perspectives on
Two-step flow of communication
Two-step_flow_of_communication
Overview of and topical guide to computer science
linguistics Computational logic – Use of logic to perform or reason about computation Computational engineering – Field of algorithmic training Outline of software
Outline_of_computer_science
Algorithm for solving a puzzle or game in the fewest possible moves
The one-person game of peg solitaire is also covered, as well as many logic puzzles, such as the missionaries and cannibals problem. These have in common
God's_algorithm
Algebraic manipulation of "true" and "false"
In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the
Boolean_algebra
In computability theory and mathematical logic the Tarski–Kuratowski algorithm is a non-deterministic algorithm that produces an upper bound for the complexity
Tarski–Kuratowski_algorithm
Swedish logician, philosopher, and mathematical statistician
each bit will randomly produce a string), algorithmic randomness refers to the string itself. Algorithmic information theory separates random from nonrandom
Per_Martin-Löf
is to automate it (at least partially) via an algorithmic debugging technique. The idea of algorithmic debugging is to have a tool that guides the programmer
Algorithmic_program_debugging
Israeli computer scientist
method of algorithmic debugging in Prolog (a general purpose logic programming language) for the debugging of logic programs. In case of logic programs
Ehud_Shapiro
American computer scientist and mathematician (born 1941)
1994. Lamport is also known for his work on temporal logic, where he introduced the temporal logic of actions (TLA). Among his more recent contributions
Leslie_Lamport
Computer system simulating intelligence
Computing Techniques and Applications in Electrical Drives Fuzzy logic, and Genetic Algorithm". HELIX. 8 (2): 3285–3289. doi:10.29042/2018-3285-3289. S2CID 57747778
Computational_intelligence
Computer science field
a task in logic, namely to check whether a structure satisfies a given logical formula. This general concept applies to many kinds of logic and many kinds
Model_checking
Creation of hardware designs from software code
abstraction are gate level, register-transfer level (RTL), and algorithmic level. While logic synthesis uses an RTL description of the design, high-level
High-level_synthesis
American fabless semiconductor company
Cirrus Logic Inc. is an American fabless semiconductor company headquartered in Austin, Texas, that specializes in analog, mixed-signal, and audio DSP
Cirrus_Logic
Verifying task for ESL designs at high abstraction level
commonly called high-level, ESL, or behavioral/algorithmic level. In high-level synthesis, behavioral/algorithmic designs in ANSI C/C++/SystemC code is synthesized
High-level_verification
American audio equipment manufacturer
that the company introduced its revolutionary surround processing algorithm Logic 7. Logic 7 was notable for generating a convincing soundfield from seven
Lexicon_(company)
Algorithm for finding sub-text location(s) inside a given sentence in Big O(n) time
Explanation of the algorithm from scratch by H.W. Lang Breaking down steps of running KMP by Chu-Cheng Hsieh. NPTELHRD YouTube lecture video LogicFirst YouTube
Knuth–Morris–Pratt_algorithm
Type of non-monotonic logic
Default logic is a non-monotonic logic proposed by Raymond Reiter to formalize reasoning with default assumptions. Default logic can express facts like
Default_logic
ALGORITHMIC LOGIC
ALGORITHMIC LOGIC
Boy/Male
Hindu
Love and kindness, Analytical, Logical
Girl/Female
Gujarati, Hindu, Indian, Kannada, Tamil
Trick; Power; Strategy; Solution by Logic; By Reasoning
Girl/Female
Danish, Hindu, Indian, Japanese
Ray of Light; Logical
Girl/Female
African, Arabic, French, Indian, Muslim, Swahili, Tamil
Intelligent; Logical; Intelligent One who Reasons; Wise
Girl/Female
Hindu
Distinguished, Pure, Deep, Logically intelligent
Girl/Female
Bengali, Hindu, Indian, Tamil, Telugu
Logically Intelligent; Who Stands Alone
Girl/Female
Indian
Successful; Logical Thinkers
Boy/Male
Tamil
Full of feathers, Full of logic, Name of sage, Vatsyayan
Girl/Female
Tamil
Trick, Power, Strategy, Solution by logic, By reasoning
Boy/Male
Tamil
Love and kindness, Analytical, Logical
Boy/Male
Hindu
Full of feathers, Full of logic, Name of sage, Vatsyayan
Boy/Male
Hindu, Indian
Logical
Boy/Male
Indian
Intelligent, Logical
Boy/Male
Tamil
Intelligent, Logical
Girl/Female
Tamil
Trick, Power, Strategy, Solution by logic, By reasoning
Girl/Female
Hindu
Trick, Power, Strategy, Solution by logic, By reasoning
Girl/Female
Arabic, Muslim, Pashtun
Logic; Reason
Girl/Female
Hindu
Distinguished, Pure, Deep, Logically intelligent
Girl/Female
Tamil
Vivikta | விவிகதா
Distinguished, Pure, Deep, Logically intelligent
Vivikta | விவிகதா
Girl/Female
Tamil
Viviktha | விவீகà¯à®¤à®¾Â
Distinguished, Pure, Deep, Logically intelligent
ALGORITHMIC LOGIC
ALGORITHMIC LOGIC
Boy/Male
Gujarati, Indian, Kannada
Symbolizing the Phases of Moon
Male
Gaelic
Variant spelling of Gaelic Aonghas, AONGHUS means "excellent valor."Â
Boy/Male
Hindu
Another name of Arjun
Girl/Female
Hindu
Well-behaved, Guided, Modest, Moral, Carried, Red, Morality
Boy/Male
Hindu, Indian
Intimate; Close to Heart; Inner Heart
Male
Hebrew
Variant spelling of Hebrew Uryon, URION means "flame" or "light."
Girl/Female
Tamil
Anumoditha | அநà¯à®‚மோதீதா
Approved
Boy/Male
American, Anglo, Australian, British, Christian, English, Indian
A Small Stream; Near the Stream or Brook; From the Western Stream
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Tamil, Telugu
Thirst; Curiosity
Girl/Female
Tamil
ALGORITHMIC LOGIC
ALGORITHMIC LOGIC
ALGORITHMIC LOGIC
ALGORITHMIC LOGIC
ALGORITHMIC LOGIC
n.
The three " liberal" arts, grammar, logic, and rhetoric; -- being a triple way, as it were, to eloquence.
n.
The quality of being logical.
n.
See Logic.
n.
The art of reasoning; logic.
a.
Not skillful; inexperienced; awkward; bungling; as, an unskillful surgeon or mechanic; an unskillful logician.
n.
The art of calculating by nine figures and zero.
a.
Of or pertaining to logic; used in logic; as, logical subtilties.
a.
According to the rules of logic; as, a logical argument or inference; the reasoning is logical.
n.
A person skilled in logic.
n.
The art of calculating with any species of notation; as, the algorithms of fractions, proportions, surds, etc.
n.
That which follows as the logical result of reasoning; inference; conclusion; suggestion.
a.
Having or observing logical sequence; logically consistent and rigorous; consecutive in development or transition of thought.
a.
Skilled in logic; versed in the art of thinking and reasoning; as, he is a logical thinker.
n.
Alt. of Algorithm
n.
Of or pertaining to a place; limited; logical application; as, a topical remedy; a topical claim or privilege.
n.
A treatise on logic; as, Mill's Logic.
v. i.
Not possessing or manifesting intellectual, logical, moral, or political strength, vigor, etc.
adv.
In a logical manner; as, to argue logically.
n.
Logicalness.
n.
One of the seminaries for teaching logic, metaphysics, and theology, which were formed in the Middle Ages, and which were characterized by academical disputations and subtilties of reasoning.