1 citations · 1 across the 3 of their papers we have counts for
4 papers
On the Calculation of Fundamental Groups in Homotopy Type Theory by Means of Computational Paths
Tiago Mendonça Lucena de Veras, Arthur F. Ramos, Ruy J. G. B. de Queiroz +1
One of the most interesting entities of homotopy type theory is the identity type. It gives rise to an interesting interpretation of the equality, since one can semantically interp…
On the Use of Computational Paths in Path Spaces of Homotopy Type Theory
Arthur F. Ramos, Ruy J. G. B. de Queiroz, Anjolina G. de Oliveira +1
The treatment of equality as a type in type theory gives rise to an interesting type-theoretic structure known as `identity type'. The idea is that, given terms of a type …
Sequentialization for full N-Graphs via sub-N-Graphs
Ruan V. B. Carvalho, Lais S. Andrade, Anjolina G. de Oliveira +1
Since proof-nets for MLL- were introduced by Girard (1987), several studies have appeared dealing with its soundness proof. Bellin & Van de Wiele (1995) produced an elegant proof b…
On the Identity Type as the Type of Computational Paths
Arthur F. Ramos, Ruy J. G. B. de Queiroz, Anjolina G. de Oliveira
We introduce a new way of formalizing the intensional identity type based on the fact that a entity known as computational paths can be interpreted as terms of the identity type. O…