This paper refers to the Collatz conjecture. The origin and the formalization of the Collatz
problem are presented in the first section, named “Introduction”. In the second section, entitled “…

… for possibly proving Collatz Conjecture (CC). We propose Reduced Collatz Conjecture (RCC)…
be ready for such problems”, Paul Erdos once speculated about the Collatz Conjecture [4]. …

… to understand what permutations are all about, what their properties are, … Collatz, was working
on. Although his examples are different from what is now known as the Collatz Conjecture (…

… the proof of the Collatz conjecture for many types of sets … Collatz conjecture is an unsolved
problem in mathematics as it has been for more than 60 years. It is named after Lothar Collatz …

… in Hoare’s logic for total correctness, are we sure that a proof means that the Collatz conjecture
is true? In Hoare’s total correctness logic, we employ a proof rule for reasoning about the …

… Professor Zachos was the first person that told me about Collatz Conjecture and he gave
me the chance to present my work in his research seminar. Many thanks also to: Dr. Aris …

… Collatz conjecture and simplified it by constructing a streamlined version of the conjecture …
Almost any result about this conjecture involves the word almost, which appears in our paper …

… Lothar Collatz who introduced the conjecture in 1937. The Collatz conjecture which remains
… , also known as the “3n + 1 conjecture”, explains about a sequence defined as follows: Start …

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… Collatz algorithm will always end up at 1. Let’s just notice two points: • No information is known
about the choice made by Collatz … to prove Collatz conjecture is: Does Collatz algorithm …