Article
Modelling algebraic structures and morphisms in ACL2
Author/s | Heras, Jónathan
Martín Mateos, Francisco Jesús Pascual, Vico |
Department | Universidad de Sevilla. Departamento de Ciencias de la Computación e Inteligencia Artificial |
Publication Date | 2015 |
Deposit Date | 2019-05-20 |
Published in |
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Abstract | In this paper, we present how algebraic structures and morphisms
can be modelled in the ACL2 theorem prover. Namely, we provide a guide-
line to implement a set of tools that facilitates the formalisations related ... In this paper, we present how algebraic structures and morphisms can be modelled in the ACL2 theorem prover. Namely, we provide a guide- line to implement a set of tools that facilitates the formalisations related to algebraic structures | as a result, an algebraic hierarchy ranging from se- toids to vector spaces has been developed. The resultant tools can be used to simplify the development of generic theories about algebraic structures. In particular, the bene ts of using the tools presented in this paper, compared to a from-scratch approach, are especially relevant when working with complex mathematical structures; for example, the structures employed in Algebraic Topology. This work shows that ACL2 can be a suitable tool for formalising algebraic concepts coming, for instance, from computer algebra systems. |
Project ID. | MTM2009-13842-C02-01
243847 (ForMath) |
Citation | Heras, J., Martín Mateos, F.J. y Pascual, V. (2015). Modelling algebraic structures and morphisms in ACL2. Applicable Algebra in Engineering, Communication and Computing, 26 (3), 277-303. |
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