A gap 1 cardinal transfer theorem. - Luis Miguel Villegas-Silva (Math. Log. Q., 2006)

The two-cardinal problem for languages of arbitrary cardinality. - Luis Miguel Villegas-Silva (J. Symb. Log., 2010)

A representation of recursively enumerable sets through Horn formulas in higher recursion theory. - Juan A. Nido Valencia; Julio Solís-Daun; Luis Miguel Villegas-Silva (Period. Math. Hung., 2016)

The gap-two cardinal problem for uncountable languages. - Luis Miguel Villegas-Silva (Math. Log. Q., 2018)