Under which category of crimes does failure to act as per one’s legal duties fall?

a failure to act despite your legal duties falls under the category of crimes of

The crime category is called crimes of omission.

Crimes of omission is an offence that is categorized by a person's failing to perform an act that is required or is seen as that person's legal duty.

Some examples of crimes of omissions are child neglect, manslaughter by gross negligence and failure to disclosure terrorists acts.

Another example: a person who is aware of a dangerous situation such as a house on fire in progress, can face criminal charges for not notifying authorities.

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