Compressed Subsequence Checking is PSPACE-complete

📅 2026-09-13
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🤖 AI Summary
本文证明了通过直线程序表示的两个词的(分散)子序列问题在二进制字母表上是PSPACE完全的,使用量化子集和进行多项式时间规约来获得下界。
📝 Abstract
It is shown that the (scattered) subsequence problem for two words represented by straight-line programs is PSPACE-complete, even over a binary alphabet. The lower bound is obtained by a polynomial-time reduction from quantified subset sum.
Problem

Research questions and friction points this paper is trying to address.

PSPACE-complete
subsequence problem
straight-line programs
Innovation

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PSPACE-complete
straight-line programs
scattered subsequence problem
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