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On Proving a Program Shortest
Date Issued
01-09-2020
Author(s)
Indian Institute of Technology, Madras
Abstract
We revisit a problem faced by all programmers. Can one write a program that determines whether any given program is the shortest program? How does one prove that a given program is the shortest? After answering these questions, we discuss very briefly the Kolmogorov complexity of a string of zero and one, which leads to a barrier on any axiomatic system, known as Chaitin’s barrier.
Volume
25