Abstract
We continue the investigation of m-interpretations of EOL forms as introduced recently. We prove three main results: we firstly show that ordinary EOL families and mEOL families are very closely related in the sense that for every EOL family there exists an mEOL family such that the languages in these families differ just by finitely many words. We secondly give two versions of an isolation lemma for m-interpretation which allow us to carry over certain proof techniques used for ordinary interpretations to m-interpretations. And thirdly we solve the m-completeness problem for two-symbol EOL forms. Thus, despite the close relation between ordinary and m-interpretations pointed out, m-interpretations behave considerably different (and we would like to argue more natural) than ordinary interpretations in certain crucial instances.
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