Definitions and Results Sample Clauses

Definitions and Results. Definition 1 A size k channel or k-channel is a primitive for authenticated reliable communica- tion among k parties. To use it, (to k-send) one party, the sender, selects k − 1 recipients, and a message m. Each recipient gets m, as well as the identities of the sender and the other recipients. Definition 2 A protocol is an algorithm used in rounds by several communicating parties. Each party starts with an input appended with its and other parties’ identities. We assume channels for all groups of k parties, who at each round can k-send messages to be used by the recipi- ents as inputs for the next round. Besides the algorithm, the interaction is affected by the Ad- versary who selects the initial inputs of all par- ties and assigns, possibly with restrictions, their loyalties, i.e., chooses a subset of faulty parties and replaces their communications (inputs, mes- sages, and outputs) by data of its choice. Definition 3 Byzantine agreement is a broad- cast simulating protocol. The party’s value is its output for a recipient or input for the sender. The protocol succeeds if the values of non-faulty (compliant) parties are all identical.
Sample 1
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Definitions and Results. Definition 1 A k-cast channel is a primitive for authenticated reliable communication to k parties. To use it, one party, the sender, selects k recipients, and a message m. Each recipient gets m, as well as the identities of the sender and the other recipients. Definition 2 A protocol is an algorithm used in rounds by several communicating parties. Each party starts with an input appended with its and other parties’ identities. At each round, parties can k-cast messages to be used by the recipients as inputs for the next round. Besides the al- gorithm, the interaction is affected by the Ad- versary who selects the initial inputs of all par- ties and assigns, possibly with restrictions, their loyalties, i.e., chooses a subset of faulty parties and replaces their communications (inputs, mes- sages, and outputs) by data of its choice.‌‌ Definition 3 Byzantine agreement is a broad- cast simulating protocol. The party’s value is its output for a recipient or input for the sender. The protocol succeeds if the values of non-faulty (compliant) parties are all identical.
Sample 1

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