 ##  [Modal Mu-Calculus](/modal-mu-calculus) 

  ##  [Modal Mu-Calculus](https://mathlogic.quantumdictionary.io/modal-mu-calculus-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 fixed-point extension of modal logic that adds least (μ) and greatest (ν) fixed-point operators to express inductive and coinductive properties of transition systems, enabling specification of recursive behaviors and regular properties of paths.