Generic group algorithms solve computational problems defined over
algebraic groups without exploiting properties of a particular
representation of group elements. This is modeled by treating the
group as a black-box. The fact that a computational problem cannot
be solved by a reasonably restricted class of algorithms may be
seen as support towards the conjecture that the problem is also
hard in the classical Turing machine model. Moreover, a lower
complexity bound for certain algorithms is a helpful insight for
the search for cryptanalytic algorithms. Tibor Jager addresses
several fundamental questions concerning algebraic black-box models
of computation: Are the generic group model and its variants a
reasonable abstraction? What are the limitations of these models?
Can we relax these models to bring them closer to the reality?
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