There are several synonyms for the word "asservation" which means to assert or maintain confidently. Some of these synonyms include declaration, avowal, affirmation, allegation, claim, assertion, pronouncement, and statement. These words are often used interchangeably depending on the context in which they are being used. For example, a lawyer might make an assertion in court to defend their client, while a politician might make a declaration about their intentions to run for office. Regardless of the specific synonym used, the meaning remains the same: to confidently state something as true or accurate.