2025/01/05 by Barmpalias, George, Zhang, Xiaoyan
#Computational Complexity (cs.CC) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Logic (math.LO)
paper · doi:10.48550/arxiv.2501.02604
Oneway real functions are effective maps on positive-measure sets of reals that preserve randomness and have no effective probabilistic inversions. We construct a oneway real function which is collision-resistant: the probability of effectively producing distinct reals with the same image is zero, and each real has uncountable inverse image.