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arXiv · 2208.06014

Reducing NEXP-complete problems to DQBF

Fa-Hsun Chen·Shen-Chang Huang·Yu-Cheng Lu·Tony Tan
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Abstract

We present an alternative proof of the NEXP-hardness of the satisfiability of {\em Dependency Quantified Boolean Formulas} (DQBF). Besides being simple, our proof also gives us a general method to reduce NEXP-complete problems to DQBF. We demonstrate its utility by presenting explicit reductions from a wide variety of NEXP-complete problems to DQBF such as (succinctly represented) 3-colorability, Hamiltonian cycle, set packing and subset-sum as well as NEXP-complete logics such as the Bernays-Sch\"onfinkel-Ramsey class, the two-variable logic and the monadic class. Our results show the vast applications of DQBF solvers which recently have gathered a lot of attention among researchers.

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Fa-Hsun Chen, Shen-Chang Huang, Yu-Cheng Lu, Tony Tan. 2022-08-11. Reducing NEXP-complete problems to DQBF. https://arxiv.org/abs/2208.06014

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