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===Tarski-like semantics=== It was discovered that Tarski-like semantics for intuitionistic logic were not possible to prove complete. However, [[Robert Lee Constable|Robert Constable]] has shown that a weaker notion of completeness still holds for intuitionistic logic under a Tarski-like model. In this notion of completeness we are concerned not with all of the statements that are true of every model, but with the statements that are true ''in the same way'' in every model. That is, a single proof that the model judges a formula to be true must be valid for every model. In this case, there is not only a proof of completeness, but one that is valid according to intuitionistic logic.{{sfn|Constable|Bickford|2014}}
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