Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Combinatorial Complete One-Way Functions   In 2003, Leonid A. Levin presented the idea of a combinatorial complete
one-way function and a sketch of the proof that Tiling represents such a
function. In this paper, we present two new one-way functions based on
semi-Thue string rewriting systems and a version of the Post Correspondence
Problem and prove their completeness. Besides, we present an alternative proof
of Levin's result. We also discuss the properties a combinatorial problem
should have in order to hold a complete one-way function.

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The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: econ
21
The categories of this paper are: adap-org