Page 1 of 1

Completeness is defined as if given Σ⊨Φ then Σ⊢Φ. If for every truth placement Z in Σ, we would get T, then Φ also would

Posted: Tue Jul 12, 2022 8:28 am
by answerhappygod
 1
1 (9.43 KiB) Viewed 26 times
Completeness is defined as if given Σ⊨Φ then Σ⊢Φ. If for every truth placement Z in Σ, we would get T, then Φ also would get T. If the previous does indeed exist, then we can prove Φ using the rules in Σ. Soundness is defined as when given that Σ1Φ then Σ⊨Φ, which is the opposite. Explain the TWO (2) fundamental differences between completeness and soundness.