Editing Categorical logic (section)

{{Short description|Branch of logic using category theory to study mathematical structures}}
{{About|mathematical logic in the context of category theory|Aristotle's system of logic|term logic}}
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'''Categorical logic''' is the branch of [[mathematics]] in which tools and concepts from [[category theory]] are applied to the study of [[mathematical logic]]. It is also notable for its connections to [[theoretical computer science]].<ref>
{{cite journal |first1=Joseph |last1=Goguen |first2=Till |last2=Mossakowski |first3=Valeria |last3=de Paiva |first4=Florian |last4=Rabe |first5=Lutz |last5=Schroder |title=An Institutional View on Categorical Logic |journal=[[International Journal of Software and Informatics]] |volume=1 |issue=1 |pages=129–152 |date=2007 |doi= |citeseerx=10.1.1.126.2361 |url=https://kwarc.info/people/frabe/Research/GMPRS_catlog_07.pdf}}</ref> 
In broad terms, categorical logic represents both syntax and semantics by a [[category (mathematics)|category]], and an [[Interpretation (logic)|interpretation]] by a [[functor]].  The categorical framework provides a rich conceptual background for logical and [[type theory|type-theoretic]] constructions. The subject has been recognisable in these terms since around 1970.