About: Algebraic theory

An Entity of Type: Thing, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

Informally in mathematical logic, an algebraic theory is a theory that uses axioms stated entirely in terms of equations between terms with free variables. Inequalities and quantifiers are specifically disallowed. Sentential logic is the subset of first-order logic involving only algebraic sentences. The notion is very close to the notion of algebraic structure, which, arguably, may be just a synonym. Saying that a theory is algebraic is a stronger condition than saying it is elementary.

Property Value
dbo:abstract
  • Informally in mathematical logic, an algebraic theory is a theory that uses axioms stated entirely in terms of equations between terms with free variables. Inequalities and quantifiers are specifically disallowed. Sentential logic is the subset of first-order logic involving only algebraic sentences. The notion is very close to the notion of algebraic structure, which, arguably, may be just a synonym. Saying that a theory is algebraic is a stronger condition than saying it is elementary. (en)
dbo:wikiPageExternalLink
dbo:wikiPageID
  • 24497685 (xsd:integer)
dbo:wikiPageLength
  • 3733 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID
  • 1039557360 (xsd:integer)
dbo:wikiPageWikiLink
dbp:id
  • algebraic+theory (en)
dbp:title
  • Algebraic theory (en)
dbp:wikiPageUsesTemplate
dcterms:subject
rdf:type
rdfs:comment
  • Informally in mathematical logic, an algebraic theory is a theory that uses axioms stated entirely in terms of equations between terms with free variables. Inequalities and quantifiers are specifically disallowed. Sentential logic is the subset of first-order logic involving only algebraic sentences. The notion is very close to the notion of algebraic structure, which, arguably, may be just a synonym. Saying that a theory is algebraic is a stronger condition than saying it is elementary. (en)
rdfs:label
  • Algebraic theory (en)
rdfs:seeAlso
owl:sameAs
prov:wasDerivedFrom
foaf:isPrimaryTopicOf
is dbo:wikiPageWikiLink of
is foaf:primaryTopic of
Powered by OpenLink Virtuoso    This material is Open Knowledge     W3C Semantic Web Technology     This material is Open Knowledge    Valid XHTML + RDFa
This content was extracted from Wikipedia and is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License