A claim of proper subset that holds only within specific, oracle-free computational models does not establish the unrestricted modal claim that L is necessarily a proper subset of PSPACE across all possible computational frameworks.

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Computational frameworks(computer science): Different systems or rules we could use to define how computers solve problems; like comparing different rulebooks that lead to different results.
L (complexity class)(computer science/complexity theory): A category of computational problems that can be solved by a computer using a very small amount of memory, similar to how some tasks need less mental effort than others.
Modal claim(logic/philosophy): A statement about what is necessary (must be true), possible (could be true), or impossible (cannot be true), rather than just what is actually true in one situation.
Necessarily: "Necessarily" means something must be true in all possible situations—it's not just true right now, but couldn't be false under any circumstances. For example, "2+2=4 necessarily" means there's no possible way 2+2 could equal anything other than 4. This contrasts with "contingently" true facts, like "it's raining today," which happen to be true but could have been false.

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