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so in this module were going to be talking about the resolution which is an inference rule so so far weve been talking about propositional logic weve been talking about syntax and semantics of propositional logic and we discussed one inference rule specifically modus ponens and the idea of this of an inference rule is can we do uh manipulation of syntax in the syntactic land over formulas in order to derive in order to prove a new formula and the idea is is that in france through under that specific set of logic and logical formulas is that sound and complete and what we have seen is if i apply just modus ponens on propositional logic i get soundness but i dont get completeness and then what that means is if i have a bunch of formulas that are entailed that are true im not going to be able to get all of them if i apply modus ponens on propositional logic so we talked about two ways of solving that and we discussed the first way the first idea was instead of looking at all of prop