What is Probabilistic Encryption?

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Probabilistic encryption, discovered by Goldwasser and Micali [GM84], is a design approach for encryption where a message is encrypted into one of many possible ciphertexts (not just a single ciphertext as in deterministic encryption), in such a way that it is provably as hard to obtain partial information about the message from the ciphertext, as it is to solve some hard problem. In previous approaches to encryption, even though it was not always known whether one could obtain such partial information, neither was it proved that one could not do so.
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