Logicandapplications2023/class_20_03102023/summary.txt

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Resolution
Examples
Soundness of resolution rule.
Res*(F)
Proposition 1:
If \emptyset \in Res*(F) then F is unsatisfiable.
Proof : (by contradiction and using soundness of resolution rule)
Proposition 2:
If F is unsatisfiable then \emptyset \in Res*(F)
Proof : (by induction on #prop_variables appearing in F
Base case : when F has only one variable.