▁al . ▁ 1 9 9 2 , ▁ch . ▁ 2 ). ▁Autom atic ▁structures ▁for ▁sem igr oups ▁possess ▁the ▁fellow ▁trav eller ▁property ▁but ▁are ▁not ▁in ▁general ▁character ized ▁by ▁it ▁( C amp bell ▁et ▁al . ▁ 2 0 0 1 ). ▁However , ▁the ▁character ization ▁can ▁be ▁generalized ▁to ▁certain ▁' group - like ' ▁classes ▁of ▁sem igr oups , ▁not ably ▁completely ▁simple ▁sem igr oups ▁( C amp bell ▁et ▁al . ▁ 2 0 0 2 ) ▁and ▁group - embed d able ▁sem igr oups ▁( C ain ▁et ▁al . ▁ 2 0 0 6 ). ▁ ▁Ex amples ▁of ▁automatic ▁sem igr oups ▁B icy clic ▁mon oid ▁F initely ▁generated ▁subs em igr oups ▁of ▁a ▁free ▁sem igr oup ▁ ▁References ▁▁ ▁. ▁. ▁. ▁. ▁ ▁Further ▁reading ▁▁▁ ▁Category : Sem igr oup ▁theory ▁Category : Comput ability ▁theory <0x0A> </s> ▁The ▁following ▁is ▁a ▁chron ological ▁list ▁of ▁political ▁catch phr ases ▁throughout ▁the ▁history ▁of ▁the ▁United ▁States ▁government . ▁This ▁is ▁not ▁necessarily ▁a ▁list ▁of ▁historical ▁quotes , ▁but ▁phr ases ▁that ▁have ▁been ▁commonly ▁referenced ▁or ▁repeated ▁within ▁various ▁political ▁context s . ▁▁ 1 9 th - century ▁" We ▁are ▁all ▁Republic ans ▁– ▁we ▁are ▁all ▁Federal ists ", ▁Thomas ▁Jefferson ' s ▁First ▁In aug ural ▁Address ▁in ▁ 1 8 0 1 . ▁" O ur ▁Federal ▁Union . ▁It ▁must ▁be ▁preserved ",