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uh snox for uh p and batch np from lwe it should warn you front that lwa is not going to show up anywhere in the talk so the talk is really about snarks from some standard assumptions right okay uh so the main object we are interested in is a form of non-interactive argument where the prover and verifier hold a instance from some np language and the prover wants to convince the verifier that the statement is in this language is true we want the standard completeness and soundness properties completeness says that if x is true the verify should accept and soundness says that if x is false then the verifier should reject and in this talk we are interested in computational soundness which is hence which is why we are talking about argument systems so soundness only holds against uh ppt rulers on their own these objects are fairly easy to build right the prover can just send a witness to the verifier so that is not very interesting so usually we equip non-interactive arguments with some ad