IP ⊆ AM

IP is contained in AM.

Statement

Migrated verbatim from arthur-merlin § Arthur-Merlin:

Also, the result of GS86 can then be stated as follows: IP[k] is contained in AM[k+2] for every k (constant or non-constant).

Notes

class: unstated: no citing page says which notion of reduction is meant. Recording a class the wiki does not state would add a claim.

class: free because a containment between complexity classes is proved by any argument at all; the reduction-class axis does not discriminate here, and unstated would wrongly suggest the information is missing.

Recorded during migration and not fixed — these are claims about the source text, not changes to it:

  • Round-indexed variants IP[k] and AM[k+2] have no slugs; the record maps them onto the base-class pages, losing the round parameter.