Categorical Logic: A Bridge Between Logic and Abstract Algebra

NANDINI C S; SHEELA S V

Categorical Logic: A Bridge Between Logic and Abstract Algebra

Authors: NANDINI C S, SHEELA S V

Unique Paper ID: 172569
Volume: 6
Issue: 10
PageNo: 425-429

Keywords: Categorical logic abstract algebra category theory adjoint functors algebraic logic model theory

Abstract:
This paper explores the connection between logic and abstract algebra through categorical logic, using category theory to unify these areas. It examines key concepts such as adjoint functors, Cartesian closed categories and dualities, showing how they link logical systems with algebraic structures. The paper also discusses applications in lambda calculus, Boolean algebras and Stone spaces, showing how categorical logic suggestions respected understandings into the interplay between logic, algebra and computation.

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Cite This Article

ISSN: 2349-6002
Volume: 6
Issue: 10
PageNo: 425-429

Categorical Logic: A Bridge Between Logic and Abstract Algebra

Available:https://ijirt.org/Article?manuscript=172569

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