##  [Cutting Planes Method](/cutting-planes-method) 

  ##  [Cutting Planes Method](https://mathlogic.quantumdictionary.io/cutting-planes-method-0) 

  

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**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A proof and refutation method that operates on linear inequalities representing 0–1 integer constraints: derive new valid linear inequalities by linear combinations and apply integer rounding (cutting) rules to eliminate fractional solutions and ultimately derive an explicit contradiction (e.g., 0 ≥ 1) for propositional encodings of arithmetic constraints.