承認的英語翻譯：

acknowledge; admit; confess; grant; allow; concede; profess; recognize
【經】 acknowledge; recognize

犯罪的英語翻譯：

commit a crime; crime; delict; err; misdeed; sin; transgress; trespass
【法】 commission of a crime; commit an offence; commitment; committal; crime
guilt; guilt by an offence; malefaction; misdeed; offend; peccancy
perpetration; prepetrate a crime; sin; wrong-doing