Summary: One-Way Functions and the Berman-Hartmanis
Dept. of Computer Science
Dept. of Math. & Comp. Sci.
Tokyo Inst. of Tech.
Abstract--The Berman-Hartmanis conjecture states that all
NP-complete sets are P-isomorphic each other. On this conjecture,
we first improve the result of  and show that all NP-complete
li,1-1 -reducible to each other based on the assumption
that there exist regular one-way functions that cannot be inverted
by randomized polynomial-time algorithms. Secondly, we show