This is commonly denoted as optional:

available as a choice but not required

_{(source: Merriam-Webster)}

Another example:

The definition of a method, constructor, indexer, or delegate can specify that its parameters are required or that they are optional. Any call must provide arguments for all required parameters, but can omit arguments for optional parameters.

Something that is allowed to be missing is omissible. Wordreference.com defines omissible as:

capable of being or allowed to be omitted

https://www.wordreference.com/definition/omissible

In English grammar the object relative pronoun is omissible:

The book (that) I wanted to buy was sold-out.

This question is confusing as hell, but I think "unnecessary" or any of its synonyms might fit, depending on what you mean exactly, as I'm confused.

Something is allowed. (allowed to exist)
Something is
unnecessary (allowed to be missing)

You also have the condition:

Also, if I say that something is not ??? (allowed to be missing), then
it is guaranteed (guaranteed to exist).

If you place "unnecessary" or "unrequired" or "unneeded" where you placed the question marks, does that satisfy your needs? In other words, if something is not "unnecessary", or not "unrequired", or not "unneeded", does it make then make it guaranteed? I don't know.

dispensable

"More than you need and therefore not necessary; that can be got rid of."

Cambridge Dictionary

Is your use case Speech? (IE. story telling or writing) Where your intention is to somehow say a character does not know whether a thing exists, but let the reader now it actually does?

The Yes/No nature of the object's existence is hidden by the speaker in most contexts not being able to know the result, so the person speaking the word could never choose the correct one themselves, only an omniscient observer (narrator) could, and it would be in order to signal to the reader the distinction.

In which case you would need to have the narrator remind the person reading of this often enough that they would remember your interpretation of the word.

If so I guess you might use

Omittable.

If this for some list of items, where you DO know whether or not something exists, but you want to denote it's optional, without having a second column.

Or if the user does know the thing exists, and does know whether an optional item exists or not, and wants to denote the item's presence or non-presence and denote the item may or may not exist but it could be created I would use:

Present

or

Existing

Could exist and does right now.

And

Missing

or

Omitted

Could exist, but doesn't right now.

As a Note:

These are binary and mutually exclusive states with can exist and can not exist, so only in very specific contexts would this sort of distinction be useful, (as above) but so below we can see why this isn't something that makes a lot of sense to talk about either.

EXISTS YES / NO (1/0)



Can Exist: YES / NO



             Does / Does Not (Exist)

 CAN EXIST    YES / YES

CANT EXIST    NO  / NO 

So I only came around because I believe you're trying to come up with are ADJECTIVES, but you have the form written as VERBS! That seems to be the heart of the confusion!

I would say RELEASED.

According to Macmillan Dictionary
https://www.macmillandictionary.com/dictionary/british/release_1?q=Release+#release_1__28:

RELEASE

FORMAL 

to allow someone not to have to do something

release someone from something: 

We were released from our classes in order to take part in the celebration.

I think the word you probably want is absent. If something is absent that means it is not here, and that can either be because it exists elsewhere, or because it does not have the existence necessary to be present anywhere, per the Century Dictionary and Cyclopedia's definitions:

1. Not in a certain place at a given time; not in consciousness or thought at a certain time; away: opposed to present.


2. Not existing; wanting; not forming a part or attribute of: as, among them refinement is absent; revenge is entirely absent from his mind.

Although it uses the nominal form of the word rather than the adjectival form, a phrase that very nicely demonstrates this is "The absence of evidence is not evidence of absence", which is a popular phrase in our current century according to Seth Augenstein, in the online Forensic Magazine article When is the Absence of Evidence Evidence of Absence?

The phrase itself is a good example because absence is used both ways. In the first case, we simply do not have the evidence to prove something exists at this point in time, yet that does not necessarily mean it is nowhere to be found as suggested by the second. It is a common rebuttal to the argumentum ad ignorantiam fallacy, particularly where somebody wishes to furnish the missing evidence. Consider this explanation excerpted from chapter 13 of Political Argumentation in the United States: Historical and Contemporary Studies. Selected Essays by David Zarefsky for instance:

Ordinarily the argument from ignorance is regarded as a fallacy in reasoning. It was first given the name argumentum ad ignorantiam by John Locke, and is one of the group of "ad-fallacies" that appeal to irrelevant considerations in order to warrant an inference. The fact that we do not know A to be true is no more reason to conclude that it is false than to regard it as true. The fallacy converts extistential doubt into a conclusive assertion of either truth or falsity.

The only problem with it, in my opinion, is that it is simply an adjective, rather than a past participle (in summary: a verb inflected in past tense form to be used as an adjective) so it would seem out of place among the other examples, but I think an actual adjective should suffice for all practical intents and purposes or at least for the table.

Based on your table, it seems you have 2 booleans, existence and knowledge, giving 4 combinations. You want to name these 4 combinations, but this only makes sense from the perspective of a knowledgable 3rd party.

For example, if I had a ball and a screen and two people sitting on opposite sides of table. Person A either places the ball on the table or not and either places a screen in front of person B or not. From Person A's perspective:

Ball    Screen   Word(s)

YES     NO       Guaranteed / Exposed

NO      NO       Prohibited / Voided

YES     YES      Cloaked / Obscured

NO      YES      Evoked / Hinted

evoke: To cause the manifestation of something (emotion, picture, etc.) in someone's mind or imagination. [ https://en.wiktionary.org/wiki/evoke#English ]

(My initial thought was excused, just from reading the title alone. A person is excused if permitted to be absent.)

However, I think exempt (or exempted) is a better fit. Wiktionary has a nice, concise definition:

Free from a duty or obligation.

In this case, free from the duty or obligation to exist.

This satisfies both conditions set forth by the OP:

1. Single word able to replace the phrase "allowed to be missing". Although exempt does not connote existence in and of itself, it satisfies the condition equally as well as the single word allowed, which also does not connote existence in and of itself.




2. Single word, the exact negation of "guaranteed to exist". If something is not allowed to be missing (exempt), then it is guaranteed to exist (guaranteed), just as if something is not allowed to exist (allowed), then it is guaranteed to be missing (prohibited).

It also draws a clear line between the first and second cases. Both allowed and exempt indicate something may be missing, but allowed indicates it would ordinarily be absent if not allowed, and exempt indicates it would ordinarily be present if not exempted.