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Data-Independent Memory-hard functions (iMHFs) are a key cryptographic primitive underlying the design of moderately expensive password hashing algorithms and egalitarian proofs of work that are resis...
Pebble games were originally formulated to study time-space tradeoffs in computation, modeled by games played on directed acyclic graphs (DAGs). Close connections between pebbling and cryptography hav...
Essentially all iMHFs can be viewed as some mode of operation (making nn calls to some round function) given by a directed acyclic graph (DAG) with very low indegree. Recently, a combinatorial propert...
Memory-hard functions (MHFs) are hash algorithms whose evaluation cost is dominated by memory cost. As memory, unlike computation, costs about the same across different platforms, MHFs cannot be evalu...
A memory-hard function (MHF) f is equipped with a {\em space cost} σ and {\em time cost} τ parameter such that repeatedly computing fσ,τ on an application specific integrated circuit (ASIC) is not eco...
We develop new theoretical tools for proving lower-bounds on the (amortized) complexity of functions in a parallel setting. We demonstrate their use by constructing the first provably secure Memory-h...
We explore time-memory and other tradeoffs for memory-hard functions, which are supposed to impose significant computational and time penalties if less memory is used than intended. We analyze three...
Memory-hard functions are becoming an important tool in the design of password hashing schemes, cryptocurrencies, and more generic proof-of-work primitives that are x86-oriented and can not be comput...

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