AU - Bagheri, S. M.
AU - Fadai, F.
TI - Linear Formulas in Continuous Logic
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 17
VI - 2
IP - 2
4099 - http://ijmsi.ir/article-1-1420-en.html
4100 - http://ijmsi.ir/article-1-1420-en.pdf
SO - IJMSI 2
ABĀ - We prove that continuous sentences preserved by the ultramean construction (a generalization of the ultraproduct construction) are exactly those sentences which are approximated by linear sentences. Continuous sentences preserved by linear elementary equivalence are exactly those sentences which are approximated in the Riesz space generated by linear sentences. Also, characterizations for linear $Delta_n$-sentences and positive linear theories will be given.
CP - IRAN
IN - Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran
LG - eng
PB - IJMSI
PG - 75
PT - Research paper
YR - 2022