) Blockchain MemoryWe let LL be the blockchain mem-ory space, represented as the hastable L:{0,1}256→{0,1}NL:\{0,1\}^{256}\rightarrow \{0, 1\}^{N}, where N≫N \gg 256 and can store sufficiently-large documents. We assume this memory to be tamperproof under the same adversarial model used in Bitcoin and other blockchains. To intuitively explain why such a trusted data-store can be implemented on any blockchain (including Bitcoin), consider the following simplified, albeit inefficient, implementation: A blockchain is a sequence of timestamped transactions, where each transaction includes a variable number of output addresses (each address is a 160-bit number). LL could then be implemented as follows - the first two outputs in a transaction encode the 256-bit memory address pointer, as well as some auxiliary meta-data. The rest of the outputs construct the serialized document. When looking up L[k]L[k], only the most recent transaction is returned, which allows update and delete operations in addition to inserts.
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