activity
20032025
most citedA representation theorem for integral rigs and its applications to residuated lattices

3 citations · 6 across the 12 of their papers we have counts for

collaborators

14 papers

math.LO2025

Rough sets semantics for the three-valued extension of first-order Priest's da Costa logic

José Luis Castiglioni, Rodolfo C. Ertola-Biraben

We provide a rough sets semantics for the three-valued extension of first-order Priest's da Costa logic, which we studied in [Castiglioni, J.L. and Ertola-Biraben, R.C. Modalities…

cs.LO2024

Assume-guarantee contract algebras are dp-algebras

Jose Luis Castiglioni, Rodolfo Ertola-Biraben

In [Incer Romeo, I. X., \textit{The Algebra of Contracts}. Ph.D. Thesis, UC Berkeley (2022)] an algebraic perspective on assume-guarantee contracts is proposed. This proposal relie…

math.LO2022

On subreducts of subresiduated lattices and logic

J. L. Castiglioni, V. Fernández, H. F. Mallea +1

Subresiduated lattices were introduced during the decade of 1970 by Epstein and Horn as an algebraic counterpart of some logics with strong implication previously studied by Lewy a…

math.LO2018

Generalized Chain Products of MTL-chains

Jose L Castiglioni, William J. Zuluaga Botero

In this paper we present a different approach to ordinal sums of MTL-chains, as extensions of finite chains in the category of semihoops. In addition, we prove in a very simple way…

math.LO2018

Prelinear Hilbert algebras

Jose Luis Castiglioni, Sergio A. Celani, Hernan J. San Martin

In this paper we give an explicit description of the left adjoint of the forgetful functor from the algebraic category of Gödel algebras (i.e., prelinear Heyting algebras) to the a…

math.LO2018

Variations of the free implicative semilattice extension of a Hilbert algebra

José L. Castiglioni, Hernán J. San Martín

In [{\it On the free implicative semilattice extension of a Hilbert algebra}. Mathematical Logic Quarterly 58, 3 (2012), 188--207], Celani and Jansana give an explicit description…