Detalhes bibliográficos
| Ano de defesa: |
2020 |
| Autor(a) principal: |
MARTÍNEZ RIVILLAS, Daniel Orlando |
| Orientador(a): |
QUEIROZ, José Guerra Barretto de |
| Banca de defesa: |
Não Informado pela instituição |
| Tipo de documento: |
Dissertação
|
| Tipo de acesso: |
Acesso aberto |
| Idioma: |
eng |
| Instituição de defesa: |
Universidade Federal de Pernambuco
|
| Programa de Pós-Graduação: |
Programa de Pos Graduacao em Ciencia da Computacao
|
| Departamento: |
Não Informado pela instituição
|
| País: |
Brasil
|
| Palavras-chave em Português: |
|
| Link de acesso: |
https://repositorio.ufpe.br/handle/123456789/38554
|
Resumo: |
The lambda calculus is a universal programming language that represents the functions computable from the point of view of the functions as a rule, that allow the evaluation of a function on any other function. This language can be seen as a theory, with certain pre-established axioms and inference rules, which can be represented by models. Dana Scott proposed the first non-trivial model of the extensional lambda calculus, known as ∞, in order to represent the -terms as the typical functions of set theory, where it is not allowed to evaluate a function about itself. This thesis propose a construction of an ∞-groupoid from any lambda model endowed with a topology. We apply this construction for the particular case ∞ and we observe that the Scott topology does not provide relevant information about of the relation between higher equivalences. This motivates the search for a new line of research focused on the exploration of -models with the structure of a non-trivial ∞-groupoid to generalize the proofs of term conversion (e.g., -equality, -equality) to higher proof in -calculus. |
