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The aim of this paper is to study the threshold behavior for the satisfiability property of a random -XOR-CNF formula or equivalently for the consistency of a random Boolean linear system with variables per equation. For we show the existence of a sharp threshold for the satisfiability of a random -XOR-CNF formula, whereas there are smooth thresholds for and .
The aim of this paper is to study the threshold behavior for the
satisfiability property of a random -XOR-CNF formula or
equivalently for the consistency of a random Boolean linear
system with variables per equation. For we show the
existence of a sharp threshold for the satisfiability of a random
-XOR-CNF formula, whereas there are smooth thresholds for
and .
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