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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 (CT) refers to the thought processes involved in formulating problems so their solutions can be represented as computational steps
Computational_thinking
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
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 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
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
Area of mathematics
involves in particular algorithm design, computational complexity, numerical methods and computer algebra. Computational mathematics refers also to the use
Computational_mathematics
Computer system simulating intelligence
Siddique, Nazmul; Adeli, Hojjat (2013). "Computational Intelligence". Computational Intelligence: Synergies of Fuzzy Logic, Neural Networks, and Evolutionary
Computational_intelligence
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
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name
List_of_logic_symbols
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
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
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
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
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
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
Fair computational tree logic is conventional computational tree logic studied with explicit fairness constraints. This declares conditions such as all
Fair_computational_tree_logic
Sequence of operations for a task
abstract-state machines capture sequential algorithms". ACM Transactions on Computational Logic. 1 (1): 77–111. doi:10.1145/343369.343384. Moschovakis, Yiannis N
Algorithm
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
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
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
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
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
Erasmus Mundus co-operative MSc program
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
British computer scientist
Kowalski, Robert (2014). "Logic Programming". In Siekmann, Jörg H. (ed.). Computational Logic (PDF). Handbook of the History of Logic. Vol. 9. Elsevier. pp
Keith Clark (computer scientist)
Keith_Clark_(computer_scientist)
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
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
(Hebrew: עופר שטרייכמן; born: 4 September 1968) is a professor of computational logic and computer science at the Faculty of Data and Decision Sciences
Ofer_Strichman
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
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)
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
Formal system of logic
In mathematics and logic, a higher-order logic (HOL) is a form of logic that is distinguished from first-order logic by additional quantifiers and, sometimes
Higher-order_logic
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
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
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
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
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
American mathematician (1930-2009)
design and implementation, robotics, set-theoretic approaches in computational logic, proof and program verification systems; multimedia authoring tools;
Jacob_T._Schwartz
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
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
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
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
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
Study of computation
graphics and computational geometry address the generation of images. Programming language theory considers different ways to describe computational processes
Computer_science
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
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
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
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
Type of logical system
first-order logic (FOL), also called predicate logic, predicate calculus, or quantificational logic, is a type of formal system. First-order logic uses quantified
First-order_logic
Rules used for constructing, or transforming the symbols and words of a language
In logic, syntax is an arrangement of well-structured entities in the formal languages or formal systems that express something. Syntax is concerned with
Syntax_(logic)
American computer scientist
Institute of Technology in 1970 and his Doctor of Philosophy (Ph.D.) in computational logic at the University of Edinburgh in Scotland in 1973. In addition,
J_Strother_Moore
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
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
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
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
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
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)
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
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
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
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
Relationship between objects
In logic, a reference is a relationship between objects in which one object designates, or acts as a means by which to connect to or link to, another
Reference
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
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
American mathematician, computer scientist and philosopher
Boyer has published extensively, including the following books: A Computational Logic Handbook, with J S. Moore. Second Edition. Academic Press, London
Robert_S._Boyer
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
Study of the semantics, or interpretations, of formal and natural languages
In logic, the semantics or formal semantics is the study of the meaning and interpretation of formal languages, formal systems, and (idealizations of)
Semantics_(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
American computer scientist
Paulson is an American computer scientist. He is a professor of computational logic at the University of Cambridge Computer Laboratory and a fellow of
Lawrence_Paulson
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
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
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
American mathematician (1928–2023)
also made significant contributions to the fields of computational complexity and mathematical logic. Davis was also known for his model of Post–Turing
Martin_Davis_(mathematician)
Term in philosophy
between two conclusions, both of which seem justified. It is a term used in logic and epistemology, particularly in the philosophy of Immanuel Kant. Antinomy
Antinomy
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
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
Software used in mathematical applications
electromagnetic simulation software List of cosmological computation software List of computational fluid dynamics software List of software for Monte Carlo
Mathematical_software
Study of the properties of logical systems
Metalogic is the metatheory of logic. Whereas logic studies how logical systems can be used to construct valid and sound arguments, metalogic studies the
Metalogic
Study of abstract machines and automata
theory is the study of abstract machines and automata, as well as the computational problems that can be solved using them. It is a theory in theoretical
Automata_theory
Academic field of logic and rhetoric
"Computational Models of Natural Argument". cmna.csc.liv.ac.uk. "Computational Models of Argument". intranet.csc.liv.ac.uk. "Argument & Computation".
Argumentation_theory
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
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
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)
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
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
Types of approximate algorithm
to create integrated computational models. Artificial techniques such as fuzzy logic, neural networks, and evolutionary computation combine to solve problems
Soft_computing
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COMPUTATIONAL LOGIC
COMPUTATIONAL LOGIC
Girl/Female
Hindu
Trick, Power, Strategy, Solution by logic, By reasoning
Girl/Female
African, Arabic, French, Indian, Muslim, Swahili, Tamil
Intelligent; Logical; Intelligent One who Reasons; Wise
Girl/Female
Bengali, Hindu, Indian, Tamil, Telugu
Logically Intelligent; Who Stands Alone
Girl/Female
Tamil
Viviktha | விவீகà¯à®¤à®¾Â
Distinguished, Pure, Deep, Logically intelligent
Viviktha | விவீகà¯à®¤à®¾Â
Boy/Male
Hindu
Full of feathers, Full of logic, Name of sage, Vatsyayan
Boy/Male
Tamil
Full of feathers, Full of logic, Name of sage, Vatsyayan
Boy/Male
Tamil
Intelligent, Logical
Girl/Female
Arabic, Muslim, Pashtun
Logic; Reason
Girl/Female
Hindu
Distinguished, Pure, Deep, Logically intelligent
Boy/Male
Hindu, Indian
Logical
Boy/Male
Tamil
Love and kindness, Analytical, Logical
Girl/Female
Tamil
Trick, Power, Strategy, Solution by logic, By reasoning
Girl/Female
Hindu
Distinguished, Pure, Deep, Logically intelligent
Girl/Female
Indian
Successful; Logical Thinkers
Girl/Female
Tamil
Trick, Power, Strategy, Solution by logic, By reasoning
Girl/Female
Danish, Hindu, Indian, Japanese
Ray of Light; Logical
Girl/Female
Gujarati, Hindu, Indian, Kannada, Tamil
Trick; Power; Strategy; Solution by Logic; By Reasoning
Girl/Female
Tamil
Vivikta | விவிகதா
Distinguished, Pure, Deep, Logically intelligent
Vivikta | விவிகதா
Boy/Male
Hindu
Love and kindness, Analytical, Logical
Boy/Male
Indian
Intelligent, Logical
COMPUTATIONAL LOGIC
COMPUTATIONAL LOGIC
COMPUTATIONAL LOGIC
COMPUTATIONAL LOGIC
COMPUTATIONAL LOGIC
COMPUTATIONAL LOGIC
COMPUTATIONAL LOGIC
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