 ##  [Entailment Checking](/entailment-checking) 

  ##  [Entailment Checking](https://mathlogic.quantumdictionary.io/entailment-checking-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

The decision procedure or algorithmic task of determining whether a set of premises Γ semantically entails a conclusion φ under a specified logic and semantics (written Γ ⊨ φ), often by searching for proofs or countermodels.