 ##  [Phase Transition Point](/phase-transition-point) 

  ##  [Phase Transition Point](https://mathlogic.quantumdictionary.io/phase-transition-point-0) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A critical value of a control parameter (such as clause density, edge probability, or constraint density) at which a family of random logical or combinatorial instances exhibits an abrupt change in typical behavior — for example, a sharp switch from satisfiable to unsatisfiable with high probability as system size tends to infinity.