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- W2092912590 abstract "We show that if DTIME[2 O(n)] is not included in DSPACE[2 o(n)], then, for every set B in PSPACE/poly, all strings x in B of length n can be represented by a string compressed(x) of length at most log(|B =n |)+O(log n), such that a polynomial-time algorithm, given compressed(x), can distinguish x from all the other strings in B =n . Modulo the O(log n) additive term, this achieves the information-theoretic optimum for string compression. We also observe that optimal compression is not possible for sets more complex than PSPACE/poly because for any time-constructible superpolynomial function t, there is a set A computable in space t(n) such that at least one string x of length n requires compressed(x) to be of length 2 log(|A =n |)." @default.
- W2092912590 created "2016-06-24" @default.
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- W2092912590 date "2014-03-11" @default.
- W2092912590 modified "2023-10-18" @default.
- W2092912590 title "On Optimal Language Compression for Sets in PSPACE/poly" @default.
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