Reversed resolution in reducing general satisfiability problem

Studia Logica 95 (3):407 - 416 (2010)
In the following we show that general property S considered by Cowen [1], Cowen and Kolany in [3] and earlier by Cowen in [2] and Kolany in [4] as hypergraph satisfiability, can be constructively reduced to (3, 2) · SAT , that is to satisfiability of (at most) triples with two-element forbidden sets. This is an analogue of the“classical” result on the reduction of SAT to 3 · SAT.
Keywords propositional logic  satisfiability  resolution  graph theory  colorability  marriage problem
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DOI 10.2307/40783412
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References found in this work BETA
R. Cowen (1991). Hypergraph Satisfiability. Reports on Mathematical Logic.
Robert Cowen (2001). Property S. Reports on Mathematical Logic:61-74.

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