Ideal Functionality Fmine for Random Eligibility Determination Sample Clauses

Ideal Functionality Fmine for Random Eligibility Determination. F The idealized oracle Fmine provides the following functionality. A node i can query Fmine to check if it is an eligible member of the b-committee where b ∈ {0, 1}. Upon receiving such a query, Fmine flips a random coin (with appropriate probability) to determine the answer; further mine stores this answer and returns it to any node that queries it henceforth. More formally, the Fmine ideal functionality has two activation points: ∈ { } F – Whenever a node i calls mine(b) for the first time where b 0, 1 , mine flips a random coin (parametrized with an appropriate probability p) to decide if i is a committee member for b. F Henceforth if a node i calls mine.mine(b), we also say that i makes a mining attempt for the bit b. – If node i has called mine(b) and the attempt is successful, anyone who calls F F mine.verify(b, i) will obtain an answer of 1; all other calls to mine.verify(b, i) will return 0. Henceforth in the paper, we assume that the choice of the success probability p is a global, public parameter. We will describe how to choose p later.
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