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Use of logic to perform or reason about computation
Computational logic is the use of logic to perform or reason about computation. It bears a similar relationship to computer science and engineering as
Computational_logic
Theory in computer science
Computation tree logic (CTL) is a branching-time logic, meaning that its model of time is a tree-like structure in which the future is not determined;
Computation_tree_logic
Set of problem-solving methods
Computational thinking refers to the thought processes involved in formulating problems so their solutions can be represented as computational steps and
Computational_thinking
Italian computer scientist
Interactive Explainable AI, Professor in Computational Logic in the Department of Computing, and head of the Computational Logic and Argumentation Group. Her research
Francesca_Toni
American computer scientist and author
theorem prover. Miller is most known for his research on topics in computational logic, including proof theory, automated reasoning, and formalized meta-theory
Dale_Miller_(academic)
Academic subfield of computer science
Many mathematicians and computational theorists who study recursion theory will refer to it as computability theory. Computational complexity theory considers
Theory_of_computation
List of symbols used to express logical relations
contains logic symbols. Without proper rendering support, you may see question marks, boxes, or other symbols instead of logic symbols. In logic, a set
List_of_logic_symbols
Use of computational tools for the study of linguistics
Computational linguistics is an interdisciplinary field concerned with the computational modelling of natural language, as well as the study of appropriate
Computational_linguistics
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
Computer system simulating intelligence
Siddique, N. H.; Adeli, Hojjat (2013). "Computational Intelligence". Computational intelligence: synergies of fuzzy logic, neural networks, and evolutionary
Computational_intelligence
Analysis of facts to form a judgment
beliefs and actions. Critical thinking allows people to deduct with more logic, to process sophisticated information and look at various sides of an issue
Critical_thinking
Fair computational tree logic is conventional computational tree logic studied with explicit fairness constraints. This declares conditions such as all
Fair_computational_tree_logic
Academic journal
The Journal of Logic and Computation is a peer-reviewed academic journal focused on logic and computing. It was established in 1990 and is published by
Journal of Logic and Computation
Journal_of_Logic_and_Computation
Academic journal
Transactions on Computational Logic (ACM TOCL) is a scientific journal that aims to disseminate the latest findings of note in the field of logic in computer
ACM Transactions on Computational Logic
ACM_Transactions_on_Computational_Logic
Academic discipline
theory (formerly called recursion theory), modal logic and category theory. The theory of computation is based on concepts defined by logicians and mathematicians
Logic_in_computer_science
The European Master's Program in Computational Logic (EMCL) was a two years joint MSc programme offering a joint degree between four European universities
European Master Program in Computational Logic
European_Master_Program_in_Computational_Logic
Dutch research institute
The Institute for Logic, Language and Computation (ILLC) is a research institute of the University of Amsterdam, in which researchers from the Faculty
Institute for Logic, Language and Computation
Institute_for_Logic,_Language_and_Computation
Area of mathematics
involves in particular algorithm design, computational complexity, numerical methods and computer algebra. Computational mathematics refers also to the use
Computational_mathematics
Method of deriving conclusions
2298/PIM1614077B. Boyer, Robert S.; Moore, J. Strother (2014). A Computational Logic Handbook: Formerly Notes and Reports in Computer Science and Applied
Rule_of_inference
Type of logical formula
mortal(X) ). Horn clauses play a basic role in constructive logic and computational logic. They are important in automated theorem proving by first-order
Horn_clause
Sequence of operations for a task
State Machines Capture Sequential Algorithms, ACM Transactions on Computational Logic, Vol 1, no 1 (July 2000), pp. 77–111. Includes bibliography of 33
Algorithm
Programming paradigm based on formal logic
problem domain. Computation is performed by applying logical reasoning to that knowledge, to solve problems in the domain. Major logic programming language
Logic_programming
American computer scientist
Editor-in-Chief of the ACM Transactions on Computational Logic, and an Editorial Advisor of the journal Theory and Practice of Logic Programming. He, together with
Vladimir_Lifschitz
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
Bearer of truth values
determine the truth values of compound propositions. First-order logic extends propositional logic with additional devices to analyze the internal structure
Proposition
Research association in computer science
(2014), "Computational logic", in Gabbay, Dov M.; Siekmann, Jörg M.; Woods, John (eds.), Handbook of the History of Logic, vol. 9: Computational Logic,
ACM_SIGLOG
Programming language that uses first order logic
Prolog is a logic programming language that has its origins in artificial intelligence, automated theorem proving, and computational linguistics. Prolog
Prolog
Inference seeking the simplest and most likely explanation
been extended to modal logic. Abductive logic programming is a computational framework that extends normal logic programming with abduction. It separates
Abductive_reasoning
Subfield of mathematics
Additionally, sometimes the field of computational complexity theory is also included together with mathematical logic. Each area has a distinct focus, although
Mathematical_logic
Mathematical model describing how an output of a function is computed given an input
more specifically in computability theory and computational complexity theory, a model of computation is a model that describes how an output of a mathematical
Model_of_computation
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)
Implicit computational complexity (ICC) is a subfield of computational complexity theory that characterizes programs by constraints on the way in which
Implicit computational complexity
Implicit_computational_complexity
British computer scientist
editorships: Journal of Applied Logic, Journal of Logic and Computation, Journal of Applied Artificial Intelligence, and Computational Intelligence. He is a Fellow
Michael Wooldridge (computer scientist)
Michael_Wooldridge_(computer_scientist)
Form of reasoning
invalid deductive reasoning is a form of deductive reasoning. Deductive logic studies under what conditions an argument is valid. According to the semantic
Deductive_reasoning
British professor
Alessandra Russo is a professor in Applied Computational Logic at the Department of Computing, Imperial College London. She obtained a Laurea in Computer
Alessandra_Russo
Activity involving calculations or computing machinery
including the central processing unit, memory, and input/output. Computational logic and computer architecture are key topics in the field of computer
Computing
British computer scientist (born 1941)
Computing, Imperial College London since 1975, attaining a chair in computational logic in 1982 and becoming emeritus professor in 1999. He began his research
Robert_Kowalski
Concept in computer science
discrete, deterministic computational process is said to be logically reversible if the transition function that maps old computational states to new ones
Reversible_computing
American computer scientist
is most known for his work on computational logic and applications of that work in enterprise management, computational law, and general game playing
Michael_Genesereth
Study of computation
graphics and computational geometry address the generation of images. Programming language theory considers different ways to describe computational processes
Computer_science
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
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
Formal systems of logic that significantly differ from standard logical systems
Non-classical logics (sometimes alternative logics) are formal systems that differ in a significant way from standard logical systems such as propositional
Non-classical_logic
Application of mathematical methods to other fields
and software has led to the emergence of computational mathematics, computational science, and computational engineering, which use high-performance computing
Applied_mathematics
Logically self-contradictory statement
interdependent elements" leading to a lasting "unity of opposites". In logic, many paradoxes exist that are invalid arguments, yet are nevertheless valuable
Paradox
Study of discrete mathematical structures
principle, and has close ties to logic, while complexity studies the time, space, and other resources taken by computations. Automata theory and formal language
Discrete_mathematics
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
British computer scientist
consultancy on expert systems and other logic programming applications. He was appointed Professor of Computational Logic at Imperial College in 1987. As a
Keith Clark (computer scientist)
Keith_Clark_(computer_scientist)
Non-monotonic logic of strict, defeasible rules and undercutting defeaters
G. Governatori, and M. Maher (2001). Representation results for defeasible logic. ACM Transactions on Computational Logic, 2(2):255–287. v t e v t e
Defeasible_logic
Statement supporting a conclusion
Role of Logic in Computational Models of Legal Argument: A Critical Survey". In Kakas, Antonis C.; Sadri, Fariba (eds.). Computational Logic: Logic Programming
Premise
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
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
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
Two types of knowledge, justification, or argument
priori justification is predominant are, for example, mathematics and formal logic; by contrast, most of the sciences generally involve a posteriori justification
A_priori_and_a_posteriori
Branch of computer science
study of computational geometric algorithms, and such problems are also considered to be part of computational geometry. While modern computational geometry
Computational_geometry
Development of classes and classifications
and John-Jules Charles Meyer. (2005). "Contextual Taxonomies" in Computational Logic in Multi-Agent Systems, pp. 33–51[dead link]. Kenneth Boulding; Elias
Taxonomy
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
Logical incompatibility between two or more propositions
In traditional logic, a contradiction involves a proposition conflicting either with itself or established fact. It is often used as a tool to detect
Contradiction
Software for a class of mathematical problems
backtracking) with the only goal of completeness. This induces an exponential computational time that dramatically limits their usability. Modern solvers use a
Solver
Text for clarification; one of four rhetorical modes
Category v t e Logic History Major fields Computer science Computational logic Formal semantics (natural language) Inference Philosophy of logic Proof Semantics
Description
Theory of logic to account for observations from quantum theory
other logics). The logic may also find application in (computational) linguistics. Quantum logic can be axiomatized as the theory of propositions modulo
Quantum_logic
of Logic, London 1979 ff. Informal Logic. Reasoning and Argumentation in Theory and Practice, 1990 ff International Journal of Logic and Computation 2010
List_of_logic_journals
Study of general and fundamental questions
Retrieved 6 July 2023. Kakas, Antonis C.; Sadri, Fariba (2003). Computational Logic: Logic Programming and Beyond: Essays in Honour of Robert A. Kowalski
Philosophy
Set of objects whose state must satisfy limits
conference on European chapter of the Association for Computational Linguistics. Association for Computational Linguistics, 1993. MacDonald, Maryellen C., and
Constraint satisfaction problem
Constraint_satisfaction_problem
Number measuring the chance an event occurs
meaning. These formal terms are manipulated by the rules of mathematics and logic, and any results are interpreted or translated back into the problem domain
Probability
Subfield of automated reasoning and mathematical logic
"Synthesis of programs in computational logic". In M. Bruynooghe and K.-K. Lau (ed.). Program Development in Computational Logic. LNCS. Vol. 3049. Springer
Automated_theorem_proving
Computer science and logic conference
on Computational Logic. LICS was originally sponsored solely by the IEEE, but as of the 2014 founding of the ACM Special Interest Group on Logic and
Symposium on Logic in Computer Science
Symposium_on_Logic_in_Computer_Science
British computer scientist
d'Avila Garcez (born 1970) is a researcher in the field of computational logic and neural computation, in particular hybrid systems with application in software
Artur_d'Avila_Garcez
Austrian computer scientist
scientific articles in the areas of computational logic, database theory, and artificial intelligence, and one textbook on logic programming and databases. In
Georg_Gottlob
Subset of artificial intelligence
The computational analysis of machine learning algorithms and their performance is a branch of theoretical computer science known as computational learning
Machine_learning
Class of formal logics
Classical logic (or standard logic) or Frege–Russell logic is the intensively studied and most widely used class of deductive logic. Classical logic has had
Classical_logic
Symbolic logic system
Minimal logic, or minimal calculus, is a symbolic logic system originally developed by Ingebrigt Johansson under the name "Minimalkalkül". It is a paraconsistent
Minimal_logic
Israeli logician (born 1945)
He is Augustus De Morgan Professor Emeritus of Logic at the Group of Logic, Language and Computation, Department of Computer Science, King's College
Dov_Gabbay
Overview of and topical guide to computer science
Phylogeny. Computational neuroscience – Computational modelling of neurophysiology. Computational linguistics Computational logic – Use of logic to perform
Outline_of_computer_science
One or more words used to refer to something
Ehrmann, Maud; Rosset, Sophie (2015). Wiley (ed.). Named Entities for Computational Linguistics. ISBN 978-1-84821-838-3. Barolini, Teodolinda, ed. (2005)
Name
Programming language and theorem prover
ACL2 (A Computational Logic for Applicative Common Lisp) is a software system consisting of a programming language, an extensible theory in a first-order
ACL2
Process of achieving a goal by overcoming obstacles
advocated logic for both computer and human problem solving and computational logic to improve human thinking. When products or processes fail, problem
Problem_solving
List of statements that appear to contradict themselves
a surprise. The surprise examination and Bottle Imp paradox use similar logic. These paradoxes, insolubilia (insolubles), have in common a contradiction
List_of_paradoxes
Computer scientist
Jean Henri Gallier (born 1949) is a researcher in computational logic at the University of Pennsylvania, where he holds appointments in the Computer and
Jean_Gallier
Method of logical reasoning
Schaum's Outlines, Logic, Second Edition. John Nolt, Dennis Rohatyn, Archille Varzi. McGraw-Hill, 1998. p. 223 Schaum's Outlines, Logic, p. 230 Johnson,
Inductive_reasoning
Mathematical model of computation
finite-state machine has less computational power than some other models of computation such as the Turing machine. The computational power distinction means
Finite-state_machine
Argument whose conclusion must be true if its premises are
In logic, specifically in deductive reasoning, an argument is valid if and only if it takes a form that makes it impossible for the premises to be true
Validity_(logic)
Any type of calculation
{\displaystyle H} . Computationalism Computational problem Computability theory Hypercomputation Limits of computation Numerical computation The study of non-computable
Computation
Relationship between programs and proofs
generalization of a syntactic analogy between systems of formal logic and computational calculi that was first discovered by the American mathematician
Curry–Howard_correspondence
Branch of logic
Informal logic encompasses the principles of logic and logical thought outside of a formal setting (characterized by the usage of particular statements)
Informal_logic
Statement that attaches a meaning to a term
logic definitions are usually introduced using extension by definition (so using a metalogic). On the other hand, lambda-calculi are a kind of logic where
Definition
Framework for studying interactive computational tasks through logic
of B1,...,Bn. CoL formulates computational problems in their most general—interactive—sense. CoL defines a computational problem as a game played by a
Computability_logic
Science, Applied Logic, Electronic Transactions on AI, and of the Computational Logic Newsletter. He is also advisory editor of the International Journal
Luís_Moniz_Pereira
Israeli mathematician and computer scientist
needed] and was formerly a director of the International Federation of Computational Logic Ltd. He has also co-chaired the Association for Computing Machinery
Moshe_Vardi
Applications of logic under uncertainty
Probabilistic logic (also probability logic and probabilistic reasoning) involves the use of probability and logic to deal with uncertain situations. Probabilistic
Probabilistic_logic
tasks in the original logic, as there is a reduction from the first problem to the other. An important problem in computational logic is to determine fragments
Fragment_(logic)
American electrical engineer (born 1984)
Manipatruni worked on Spintronics for the development of logic computing devices for computational nodes beyond the existing limits to silicon-based transistors
Sasikanth_Manipatruni
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
Type theory in logic and mathematics
analyse the computational behavior of the univalence axiom in homotopy type theory. Cubical type theory is one attempt to give computational content to
Homotopy_type_theory
Branch of mathematics concerning probability
modelling that uses statistics to predict outcomes Probabilistic logic – Applications of logic under uncertainty Probabilistic proofs of non-probabilistic
Probability_theory
Application of logical methods to philosophical problems
Understood in a narrow sense, philosophical logic is the area of logic that studies the application of logical methods to philosophical problems, often
Philosophical_logic
Schrödinger logics are a kind of non-classical logic in which the law of identity is restricted. These logics are motivated by the consideration that
Schrödinger_logic
Interactive theorem prover software
on 10 April 2022. Retrieved 15 February 2024. (By Frank Pfenning). DMOZ: Science: Math: Logic and Foundations: Computational Logic: Logical Frameworks
Proof_assistant
Concept of philosophy and logic used to express modal claims
used as a formal device in logic, philosophy, and linguistics in order to provide a semantics for intensional and modal logic. Their metaphysical status
Possible_world
automated reasoning, computational logic, programming languages and their applications. It grew out of the Russian Conferences on Logic Programming 1990 and
Logic for Programming, Artificial Intelligence and Reasoning
Logic_for_Programming,_Artificial_Intelligence_and_Reasoning
COMPUTATIONAL LOGIC
COMPUTATIONAL LOGIC
Boy/Male
Indian
Intelligent, Logical
Girl/Female
Hindu
Trick, Power, Strategy, Solution by logic, By reasoning
Girl/Female
Gujarati, Hindu, Indian, Kannada, Tamil
Trick; Power; Strategy; Solution by Logic; By Reasoning
Boy/Male
Hindu
Full of feathers, Full of logic, Name of sage, Vatsyayan
Boy/Male
Hindu
Love and kindness, Analytical, Logical
Girl/Female
Bengali, Hindu, Indian, Tamil, Telugu
Logically Intelligent; Who Stands Alone
Girl/Female
Arabic, Muslim, Pashtun
Logic; Reason
Girl/Female
Tamil
Viviktha | விவீகà¯à®¤à®¾Â
Distinguished, Pure, Deep, Logically intelligent
Viviktha | விவீகà¯à®¤à®¾Â
Girl/Female
Tamil
Trick, Power, Strategy, Solution by logic, By reasoning
Girl/Female
Danish, Hindu, Indian, Japanese
Ray of Light; Logical
Boy/Male
Tamil
Intelligent, Logical
Girl/Female
Hindu
Distinguished, Pure, Deep, Logically intelligent
Girl/Female
Tamil
Trick, Power, Strategy, Solution by logic, By reasoning
Girl/Female
Tamil
Vivikta | விவிகதா
Distinguished, Pure, Deep, Logically intelligent
Vivikta | விவிகதா
Girl/Female
Hindu
Distinguished, Pure, Deep, Logically intelligent
Girl/Female
Indian
Successful; Logical Thinkers
Boy/Male
Tamil
Full of feathers, Full of logic, Name of sage, Vatsyayan
Boy/Male
Hindu, Indian
Logical
Girl/Female
African, Arabic, French, Indian, Muslim, Swahili, Tamil
Intelligent; Logical; Intelligent One who Reasons; Wise
Boy/Male
Tamil
Love and kindness, Analytical, Logical
COMPUTATIONAL LOGIC
COMPUTATIONAL LOGIC
Boy/Male
Indian, Sanskrit
Lord of Existence
Boy/Male
Hindu
Unattached
Girl/Female
Indian
Beautiful
Boy/Male
Hindu
Origin
Boy/Male
American, British, English, French
Young Lion
Female
English
Variant spelling of English Gena, JEANA means "well born."
Boy/Male
Japanese
One's masculine power; capability.
Surname or Lastname
English (chiefly Wiltshire and Somerset)
English (chiefly Wiltshire and Somerset) : variant spelling of Nash 1.
Boy/Male
Christian, Hindu, Indian
Bright Circle
Girl/Female
British, English
Envious; Majestic; Powerful
COMPUTATIONAL LOGIC
COMPUTATIONAL LOGIC
COMPUTATIONAL LOGIC
COMPUTATIONAL LOGIC
COMPUTATIONAL LOGIC
n.
The result of computation; the amount computed.
n.
Account; reckoning; computation.
n.
The fifth month of the Jewish year according to the ecclesiastical reckoning, the eleventh by the civil computation, coinciding nearly with August.
n.
The act or process of computing; calculation; reckoning.
a.
Proceeding in computation by twelves; expressed in the scale of twelves.
v. t.
To exceed in reckoning or computation.
a.
Capable of being measured; susceptible of mensuration or computation.
a.
Proceeding by sixes; sextuple; -- applied especially to a system of arithmetical computation in which the base is six.
n.
A reckoning; computation; calculation; enumeration; a record of some reckoning; as, the Julian account of time.
n.
The act or process, or the result, of calculating; computation; reckoning, estimate.
n.
Reckoning; computation.
v. i.
To make an enumeration or computation; to engage in numbering or computing.
n.
The science of numbers; the art of computation by figures.
n.
An erroneous computation.
n.
Erroneous computation; false reckoning.
n.
Computation.
n.
Enumeration; computation.
n.
The difference of the results obtained by observation, and by computation from a formula.
n.
The act or process of making mathematical computations or of estimating results.
n.
A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation.