Ομιλητής : κ. Γιώργος Μπαρμπαλιάς (Κινέζικη Ακαδημία Επιστημών, http://www.barmpalias.net.)
Ημερομηνία, ώρα : Τρίτη 16 Ιουλίου 2024, 11:00
Τοποθεσία : Αίθουσα Σεμιναρίων του Τομέα Μαθηματικών ΣΕΜΦΕ, κτ. Ε ‘, 2ος όροφος.
Τίτλος : “Computable one-way functions on the reals”.
Περίληψη : “A major open problem in computational complexity is the existence of a one-way function, namely a function from strings to strings which is computationally easy to compute but hard to invert. Levin (2023) formulated the notion of one-way functions from reals (infinite bit-sequences) to reals in terms of computability, and asked whether partial computable one- way functions exist. We give a strong positive answer using the hardness of the halting problem and exhibiting a total computable one-way function.
This is joint work with Xiaoyan Zhang.
Preprint: http://arxiv.org/abs/2406.15817 .”