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Learning logic programs from data
Inductive logic programming (ILP) is a subfield of symbolic artificial intelligence which uses logic programming as a uniform representation for examples
Inductive_logic_programming
Area of automatic programming
Inductive programming (IP) is a special area of automatic programming, covering research from artificial intelligence and programming, which addresses
Inductive_programming
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
Programming paradigm
Probabilistic logic programming is a programming paradigm that combines logic programming with probabilities. Most approaches to probabilistic logic programming are
Probabilistic logic programming
Probabilistic_logic_programming
Inductive logic programming system
an inductive logic programming system introduced by Ashwin Srinivasan in 2001. As of 2022[update] it is still one of the most widely used inductive logic
Aleph_(ILP)
Inductive logic programming algorithm
Golem is an inductive logic programming algorithm developed by Stephen Muggleton and Cao Feng in 1990. It uses the technique of relative least general
Golem_(ILP)
Progol is an implementation of inductive logic programming that combines inverse entailment with general-to-specific search through a refinement graph
Progol
Method of logical reasoning
Falsifiability Grammar induction Inductive logic programming Inductive probability Inductive programming Inductive reasoning aptitude Inductivism Inquiry
Inductive_reasoning
Alan Robinson in 1965 and has become a fundamental notion in inductive logic programming. Deciding whether a given clause θ-subsumes another is an NP-complete
Theta-subsumption
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
Artificial intelligence researcher (born 1959)
into stereochemistry-based drug design using inductive logic programming". Inductive Logic Programming. Lecture Notes in Computer Science. Vol. 1314
Stephen_Muggleton
Programming paradigm based on modeling the logic of a computation
In computer science, declarative programming is a programming paradigm that expresses the logic of a computation without fully describing its control flow
Declarative_programming
Subdiscipline of artificial intelligence
to model the uncertainty; some also build upon the methods of inductive logic programming. Significant contributions to the field have been made since
Statistical relational learning
Statistical_relational_learning
Logical generalization for symbolic expressions
of two clause sets in first-order logic, which was the basis of the Golem approach to inductive logic programming. Jacobsen, Erik (Jun 1991), Unification
Anti-unification
Subset of artificial intelligence
representing hypotheses (and not only logic programming), such as functional programs. Inductive logic programming is particularly useful in bioinformatics
Machine_learning
In machine learning, first-order inductive learner (FOIL) is a rule-based learning algorithm. Developed in 1990 by Ross Quinlan, FOIL learns function-free
First-order_inductive_learner
Topics referred to by the same term
ILP can refer to: Inductive logic programming Information Leak Prevention Instruction-level parallelism Integer linear programming ilp., a 2013 album by
ILP
Topics referred to by the same term
set theory Aleph, an advanced system for inductive logic programming Aleph (Automated Library Expandable Program), software by Ex Libris Group Aleph, an
Aleph_(disambiguation)
Determining the probability of future events based on past events
theory Bayesian inference Information theory Inductive inference Inductive logic programming Inductive reasoning Learning Minimum message length Minimum
Inductive_probability
Type theory created by Thierry Coquand
logic and computer science, the calculus of constructions (CoC) is a type theory created by Thierry Coquand. It can serve as both a typed programming
Calculus_of_constructions
Type of software system
integrated circuits, software programs, engineering designs, etc. Logic programs (LPs) are software programs written using programming languages whose primitives
Reasoning_system
Logic programming using abductive reasoning
Abductive logic programming (ALP) is a high-level knowledge-representation framework that can be used to solve problems declaratively, based on abductive
Abductive_logic_programming
Process of acquiring new knowledge
inference – Method of statistical inference Inductive logic programming – Learning logic programs from data Inductive probability – Determining the probability
Learning
Question of whether inductive reasoning leads to definitive knowledge
displaying short descriptions of redirect targets Inductive logic programming – Learning logic programs from data Intuitive statistics Inverse problem –
Problem_of_induction
Overview of and topical guide to machine learning
Gaussian process regression Gene expression programming Group method of data handling (GMDH) Inductive logic programming Instance-based learning Lazy learning
Outline_of_machine_learning
Inference rule in logic, proof theory, and automated theorem proving
detachment — an earlier version of resolution Inductive logic programming Inverse resolution Logic programming Method of analytic tableaux SLD resolution
Resolution_(logic)
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
German computer scientist
Probabilistic Inductive Logic Programming. In: De Raedt L., Frasconi P., Kersting K., Muggleton S. (eds) Probabilistic Inductive Logic Programming. Lecture
Kristian_Kersting
Topics referred to by the same term
one stereoisomer over another Grammar induction Inductive bias Inductive probability Inductive programming Rule induction Word-sense induction Backward induction
Induction
Software system for statistical models
Statistical relational learning Inductive programming Bayesian programming Plate notation "Probabilistic programming does in 50 lines of code what used
Probabilistic_programming
Machine learning paradigm
Case-based reasoning Decision tree learning Inductive logic programming Gaussian process regression Genetic programming Group method of data handling Kernel
Supervised_learning
Scottish artificial intelligence laboratory
was Stephen Muggleton who was responsible for work developing inductive logic programming. Professor Jim Alty moved his Man Machine Interaction (HCI) group
Turing_Institute
Defining elements of a set in terms of other elements in the set
In mathematics and computer science, a recursive definition, or inductive definition, is used to define the elements in a set in terms of other elements
Recursive_definition
Formal language used to construct ontologies
Applications) F-Logic (Frame Logic) FO-dot (First-order logic extended with types, arithmetic, aggregates and inductive definitions) KIF (Knowledge Interchange
Ontology_language
Overview of and topical guide to computer programming
computer programming: Computer programming – process that leads from an original formulation of a computing problem to executable computer programs. Programming
Outline of computer programming
Outline_of_computer_programming
Array of logic gates that are reprogrammable
a subset of logic devices referred to as programmable logic devices (PLDs). They consist of a grid-connected array of programmable logic blocks that can
Field-programmable_gate_array
Programming language that uses first order logic
first-order logic, a formal logic. Unlike many other programming languages, Prolog is intended primarily as a declarative programming language: the program is
Prolog
Study of correct reasoning
syllogistics and formulated an early system of inductive logic, foreshadowing the system of inductive logic developed by John Stuart Mill. During the Middle
Logic
Interactive theorem prover software
calculus of inductive constructions. MINLOG – A proof assistant based on first-order minimal logic. Mizar – A proof assistant based on first-order logic, in a
Proof_assistant
British professor
enables learning interpretable knowledge from labelled data using Inductive Logic Programming. "Home – Professor Alessandra Russo". Imperial College London
Alessandra_Russo
Programming language
Features include generic classes, dynamic allocation, inductive datatypes and a variation of separation logic known as implicit dynamic frames for reasoning
Dafny
Functional programming language
data types in Agda is via inductive data types which are similar to algebraic data types in non-dependently typed programming languages. Here is a definition
Agda_(programming_language)
Mathematical theory
Solomonoff's theory of inductive inference in philosophy is a method of evaluating scientific models according to their description length. According
Solomonoff's theory of inductive inference
Solomonoff's_theory_of_inductive_inference
Inference seeking the simplest and most likely explanation
extended to modal logic. Abductive logic programming is a computational framework that extends normal logic programming with abduction. It separates the
Abductive_reasoning
paraconsistent logics Planning using logic Satplan – Method for automated planning Learning using logic Inductive logic programming – Learning logic programs from
Outline of artificial intelligence
Outline_of_artificial_intelligence
AI that learns decision rules from data
Rule induction Inductive logic programming Rule-based machine translation Genetic algorithm Rule-based system Rule-based programming RuleML Production
Rule-based_machine_learning
Computer scientist
Learning, 5:239-266. ID3 algorithm C4.5 algorithm Data mining Inductive Logic Programming Data Mining From an AI Perspective "Elected AAAI Fellows". AAAI
Ross_Quinlan
Programming language
Haskell language. It merges elements of functional and logic programming, including constraint programming integration. It is nearly a superset of Haskell but
Curry_(programming_language)
Topics referred to by the same term
Grad, an island in Lake Prespa in Macedonia Golem (ILP), an inductive logic programming system Golem (computer), a series of computers built at the Weizmann
Golem_(disambiguation)
Professor at the University of Manchester
atoms and their bond connectivities to predict mutagenicity by inductive logic programming". Proceedings of the National Academy of Sciences of the United
Ross_D._King
Problem solving method
numbered chits to a computer program, but all accomplish the same task. As the compilation of Ariadne's thread is an inductive process, and due to its exhaustiveness
Ariadne's_thread_(logic)
Predictive modelling technique
extended into diverse machine learning approaches, including inductive logic programming, Bayesian networks, Statistical relational learning, Support-vector
Uplift_modelling
Mathematical constructs and creation rules
structures in a programming language and allows a type theory to add concepts like numbers, relations, and trees. As the name suggests, inductive types can
Inductive_type
Logic and the modalities in the Twentieth century; 8. The many-valued and nonmonotonic turn in logic; 9. Computational Logic; 10. Inductive logic; 11
History_of_logic
Philosophical study of knowledge
form of empiricism and explained knowledge of general truths through inductive reasoning. Charles Peirce (1839–1914) thought that all knowledge is fallible
Epistemology
Precisely specified semantic version of a statement
In logic, the logical form of a statement is a precisely specified semantic version of that statement in a formal system. Informally, the logical form
Logical_form
Relationship between programs and proofs
function; and that the program to compute that function is analogous to a proof of that theorem. This sets a form of logic programming on a rigorous foundation:
Curry–Howard_correspondence
Method of deriving an ontology
Description logic Factor analysis Formal semantics (natural language) General Concept Lattice Graphical model Grounded theory Inductive logic programming Pattern
Formal_concept_analysis
Modal temporal logic with modalities referring to time
In logic, linear temporal logic or linear-time temporal logic (LTL) is a modal temporal logic with modalities referring to time. In LTL, one can encode
Linear_temporal_logic
Use of low-energy X-rays to examine the human breast
"Uncovering age-specific invasive and DCIS breast cancer rules using inductive logic programming". Proceedings of the ACM international conference on Health informatics
Mammography
Peer-reviewed scientific journal
and Stephen Muggleton (2006). "Mathematical Applications of Inductive Logic Programming" (PDF). Machine Learning. 64 (1–3): 25–64. doi:10.1007/s10994-006-8259-x
Machine_Learning_(journal)
Applications of logic under uncertainty
unification of classic probability theory and first-order logic that is suitable for inductive reasoning. Their theory assigns probabilities or degrees
Probabilistic_logic
rules. There are several approaches to relational data mining: Inductive Logic Programming (ILP) Statistical Relational Learning (SRL) Graph Mining Propositionalization
Relational_data_mining
in the presence of inconsistent data. Formal concept analysis Inductive logic programming Rough set. [The rough set framework focuses on the case where
Version_space_learning
Programming language and theorem prover
Computational Logic for Applicative Common Lisp) is a software system consisting of a programming language, an extensible theory in a first-order logic, and an
ACL2
Probabilistic logic programming language
Frasconi; Kristian Kersting; Stephen Muggleton (eds.). Probabilistic Inductive Logic Programming. Lecture Notes in Computer Science. Vol. 4911. Springer. pp. 222–243
ProbLog
Type of formal logic
formula can be shown by an inductive definition generated by provability in a ‘base’ of atomic rules. Intuitionistic modal logics are used in different areas
Modal_logic
Israeli computer scientist
for inductive logic programming and built its first implementation (Model Inference System): a Prolog program that inductively inferred logic programs from
Ehud_Shapiro
Proof assistant
reflective programming style of proof. These features include: Added convenient notations for irrefutable and refutable pattern matching, on inductive types
Rocq
Alternative foundation of mathematics
Rocq is based on the calculus of (co)inductive constructions. Dependent types also feature in the design of programming languages such as ATS, Cayenne, Epigram
Intuitionistic_type_theory
List of concepts in artificial intelligence
notation. logic programming A type of programming paradigm which is largely based on formal logic. Any program written in a logic programming language is
Glossary of artificial intelligence
Glossary_of_artificial_intelligence
Artificial intelligence project
Semantic Meta-Knowledge into Inductive Bias". In: Proceedings of the 15th International Conference on Inductive Logic Programming. Bonn, Germany, August 2005
Cyc
Capacity for consciously making sense of things
reasoning is logic. The traditional main division made in philosophy is between deductive reasoning and inductive reasoning. Formal logic has been described
Reason
Supervised machine learning techniques
prediction include inductive logic programming, case-based reasoning, structured SVMs, Markov logic networks, Probabilistic Soft Logic, and constrained
Structured_prediction
Computer Scientist
programming logic and type theory. Gordon Plotkin at the Mathematics Genealogy Project Plotkin, Gordon David (1972). Automatic methods of inductive inference
Gordon_Plotkin
Natural language processing task
Mooney, R. J. (1996). "Learning to parse database queries using inductive logic programming". Proceedings of the National Conference on Artificial Intelligence:
Semantic_parsing
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
Steps in reasoning
ISBN 978-0-521-70172-3. Inductive inference: Carnap, Rudolf; Jeffrey, Richard C., eds. (1971). Studies in Inductive Logic and Probability. Vol. 1. The
Inference
Stephen Muggleton – Inductive Logic Programming Klaus-Robert Müller – machine learning, artificial intelligence Alan Mycroft – programming languages Brad A
List_of_computer_scientists
Smartphones released by Apple in 2017
the removal of the rose gold and jet black color variants, addition of inductive charging, a faster processor, and improved cameras and displays. The iPhone
IPhone_8
Task to construct a program meeting a formal specification
and the program column of the " true {\displaystyle {\textit {true}}} " line contains the program. Inductive programming Metaprogramming Program derivation
Program_synthesis
Mathematical model for deduction or proof systems
theorems, both of which are part of the formal language. In some cases an inductive system, used to derive a proof by first establishing a simple case, then
Formal_system
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
Subfield of mathematics
first-order logic, and are thus less amenable to proof-theoretic analysis. Another type of logics are fixed-point logics that allow inductive definitions
Mathematical_logic
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
Computer science professor
matching logic as a foundation for the K framework and for programming languages, specification, and verification. It is as expressive as first-order logic plus
Grigore_Roșu
on logic programming paradigm Answer Set Programming (ASP) and its extension, Reactive ASP. In another example, bottom-up inductive logic programming approach
Action_model_learning
Type whose definition depends on a value
dependent types are used to encode logic's quantifiers like "for all" and "there exists". In functional programming languages like Agda, ATS, Rocq (previously
Dependent_type
Statement that players know and also know that other players know (ad infinitum)
blue-eyed people will leave the island. The solution can be seen with an inductive argument. If k = 1 (that is, there is exactly one blue-eyed person), the
Common_knowledge_(logic)
Mathematical theory of data types
type 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_theory
Subfield of computer science and logic
reasoning programs are being applied to solve a growing number of problems in formal logic, mathematics and computer science, logic programming, software
Automated_reasoning
Attempt to persuade or to determine the truth of a conclusion
analysis. There are several kinds of arguments in logic, the best known of which are "deductive" and "inductive." An argument has one or more premises but only
Argument
Dutch computer scientist
(1997). Siekmann, J.; Carbonell, J. G. (eds.). Foundations of Inductive Logic Programming. Lecture Notes in Computer Science. Springer-Verlag New York
Ronald_de_Wolf
Logical problem studied in computer science
formalized approach to constraint programming. Formally speaking, an SMT instance is a formula in first-order logic, where some function and predicate
Satisfiability modulo theories
Satisfiability_modulo_theories
Approach to formal semantics
programming languages by means of games. New results in linear logic by Jean-Yves Girard in the interfaces between mathematical game theory and logic
Game_semantics
American computer scientist
of Logic Programming. 3 (3): 237–258. arXiv:cs/9301104. doi:10.1016/0743-1066(86)90015-4. S2CID 27085090. Paulson, Lawrence C. (1998). "The inductive approach
Lawrence_Paulson
Method of deriving conclusions
of mathematical logic Non-deductive arguments, by contrast, support the conclusion without ensuring that it is true, such as inductive and abductive reasoning
Rule_of_inference
Artificial Intelligence researcher (born 1982)
in description logics, Lehmann received the Best Student Paper Award at the 2007 International Conference on Inductive Logic Programming. He also received
Jens_Lehmann_(scientist)
Slovenian computer scientist
Systems, with Ivan Bratko and Igor Mozetič, MIT Press, 1989 Inductive Logic Programming: Techniques and Applications, with Sašo Džeroski, Horwood, 1994
Nada_Lavrač
Logical system in mathematics
Agda: a dependently typed programming language with univalence and higher inductive types". Journal of Functional Programming. 31: e8. doi:10.1017/S0956796821000034
Cubical_type_theory
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