Formalizing Abstract Algebra In Constructive Set Theory:- Ibeabuchi, Promise I
ABSTRACT
This
project work present a machine-checked formalization of I • elementary abstract
algebra in constructive set theory. This formalization uses an approach where I
start by specifying the group axioms as a collection of inference rules,
defining logic for groups. Then we can tell whether. a given set with a binary
operation is a group or not and .derive all properties of groups constructively
from these inference rules as well as the axioms of the set theory. The . . ' I
• formalization of all other' concepts in group. This work also present an
example of a formalization of a concrete group, the Klein 4 - group.
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IBEABUCHI, I (2024). Formalizing Abstract Algebra In Constructive Set Theory:- Ibeabuchi, Promise I. Repository.mouau.edu.ng: Retrieved Dec 26, 2024, from https://repository.mouau.edu.ng/work/view/formalizing-abstract-algebra-in-constructive-set-theory-ibeabuchi-promise-i-7-2
IBEABUCHI, IBEABUCHI. "Formalizing Abstract Algebra In Constructive Set Theory:- Ibeabuchi, Promise I" Repository.mouau.edu.ng. Repository.mouau.edu.ng, 13 May. 2024, https://repository.mouau.edu.ng/work/view/formalizing-abstract-algebra-in-constructive-set-theory-ibeabuchi-promise-i-7-2. Accessed 26 Dec. 2024.
IBEABUCHI, IBEABUCHI. "Formalizing Abstract Algebra In Constructive Set Theory:- Ibeabuchi, Promise I". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 13 May. 2024. Web. 26 Dec. 2024. < https://repository.mouau.edu.ng/work/view/formalizing-abstract-algebra-in-constructive-set-theory-ibeabuchi-promise-i-7-2 >.
IBEABUCHI, IBEABUCHI. "Formalizing Abstract Algebra In Constructive Set Theory:- Ibeabuchi, Promise I" Repository.mouau.edu.ng (2024). Accessed 26 Dec. 2024. https://repository.mouau.edu.ng/work/view/formalizing-abstract-algebra-in-constructive-set-theory-ibeabuchi-promise-i-7-2