give up vs allow

give up and allow both are verbs.

Word	Noun	Adjective	Verb	Adverb
give up	No	No	Yes	No
allow	No	No	Yes	No

As verbs, give up and allow are synonyms defined as:

give up (verb)	allow (verb)
stop maintaining or insisting on; of ideas or claims	allow or plan for a certain possibility; concede the truth or validity of something
give up in the face of defeat of lacking hope; admit defeat	give or assign a resource to a particular person or cause
give up or agree to forgo to the power or possession of another	consent to, give permission; permit
stop consuming	allow the presence of or allow (an activity) without opposing or prohibiting
give up with the intent of never claiming again	let have
relinquish possession or control over	grant as a discount or in exchange
lose (something) or lose the right to (something) by some error, offense, or crime	make it possible through a specific action or lack of action for something to happen
part with a possession or right	allow the other (baseball) team to score
give up what is not strictly needed	make a possibility or provide opportunity for; permit to be attainable or cause to remain
allow the other (baseball) team to score	afford possibility
leave (a job, post, or position) voluntarily
put an end to a state or an activity