= Solution
A <complete market> permits <claim replication> for every finite maturity and every bounded claim measurable at that maturity: there are an initial capital and a predictable <self-financing portfolio> whose terminal wealth equals the claim almost surely. In a finite-state market this is equivalent to replicating every terminal payoff, since all such payoffs are bounded. Trading is allowed dynamically in the existing $n$ assets; adding a new security is not part of the definition.
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