24 relations: Circumscription (logic), Co-NP, Completeness (knowledge bases), Consistency, Database, Default logic, Herbrand structure, Horn clause, Knowledge management, Knowledge representation and reasoning, Logic, Logical consequence, Mathematical logic, Negation as failure, Non-monotonic logic, Open-world assumption, Oracle machine, P (complexity), Polynomial hierarchy, Propositional formula, Raymond Reiter, Springer Science+Business Media, Stable model semantics, Unique name assumption.
Circumscription (logic)
Circumscription is a non-monotonic logic created by John McCarthy to formalize the common sense assumption that things are as expected unless otherwise specified.
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Co-NP
In computational complexity theory, co-NP is a complexity class.
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Completeness (knowledge bases)
The term completeness as applied to knowledge bases refers to two different concepts.
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Consistency
In classical deductive logic, a consistent theory is one that does not contain a contradiction.
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Database
A database is an organized collection of data, stored and accessed electronically.
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Default logic
Default logic is a non-monotonic logic proposed by Raymond Reiter to formalize reasoning with default assumptions.
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Herbrand structure
In first-order logic, a Herbrand structure S is a structure over a vocabulary σ, that is defined solely by the syntactical properties of σ.
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Horn clause
In mathematical logic and logic programming, a Horn clause is a logical formula of a particular rule-like form which gives it useful properties for use in logic programming, formal specification, and model theory.
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Knowledge management
Knowledge management (KM) is the process of creating, sharing, using and managing the knowledge and information of an organisation.
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Knowledge representation and reasoning
Knowledge representation and reasoning (KR, KR², KR&R) is the field of artificial intelligence (AI) dedicated to representing information about the world in a form that a computer system can utilize to solve complex tasks such as diagnosing a medical condition or having a dialog in a natural language.
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Logic
Logic (from the logikḗ), originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of the form of valid inference.
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Logical consequence
Logical consequence (also entailment) is a fundamental concept in logic, which describes the relationship between statements that hold true when one statement logically follows from one or more statements.
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Mathematical logic
Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics.
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Negation as failure
Negation as failure (NAF, for short) is a non-monotonic inference rule in logic programming, used to derive \mathrm~p (i.e. that ~p is assumed not to hold) from failure to derive ~p.
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Non-monotonic logic
A non-monotonic logic is a formal logic whose consequence relation is not monotonic.
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Open-world assumption
In a formal system of logic used for knowledge representation, the open-world assumption is the assumption that the truth value of a statement may be true irrespective of whether or not it is known to be true.
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Oracle machine
In complexity theory and computability theory, an oracle machine is an abstract machine used to study decision problems.
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P (complexity)
In computational complexity theory, P, also known as PTIME or DTIME(nO(1)), is a fundamental complexity class.
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Polynomial hierarchy
In computational complexity theory, the polynomial hierarchy (sometimes called the polynomial-time hierarchy) is a hierarchy of complexity classes that generalize the classes P, NP and co-NP to oracle machines.
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Propositional formula
In propositional logic, a propositional formula is a type of syntactic formula which is well formed and has a truth value.
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Raymond Reiter
Raymond Reiter (June 12, 1939 – September 16, 2002), was a Canadian computer scientist and logician.
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Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
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Stable model semantics
The concept of a stable model, or answer set, is used to define a declarative semantics for logic programs with negation as failure.
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Unique name assumption
The unique name assumption is a simplifying assumption made in some ontology languages and description logics.
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Redirects here:
Careful Closed World Assumption, Closed World Assumption, Closed World assumption, Closed world assumption, Extended Closed World Assumption, Extended Generalized Closed World Assumption, Generalized Closed World Assumption.
References
[1] https://en.wikipedia.org/wiki/Closed-world_assumption