Xianxian Li
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2026
Self-Referential $K$-SAT and the Finite Analogue of Gödel's Incompleteness Theorem
This paper establishes a finite combinatorial version of Gödel's incompleteness theorems in Boolean $K$-SAT, resolving assignment correlations and constructing structurally irreducible SAT/UNSAT pairs.
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cs.CCcs.DScs.ITTheoreticalRecentJul 2, 2026
Self-Referential $K$-SAT and the Finite Analogue of Gödel's Incompleteness Theorem
Wen Fang, Xianxian Li, Jun Liu, Jie Luo +2 more
This paper establishes a finite combinatorial version of Gödel's incompleteness theorems in Boolean $K$-SAT, resolving assignment correlations and constructing structurally irreducible SAT/UNSAT pairs…
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