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We present Unit, a type checker for dependent type theory with a module system in the tradition of Automath and a uniform treatment of definitions: two uses of a definition are compared by name and arguments before anyth...
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In 1961, Spector presented an extension of Gödel's system T by a new schema of definition called bar recursion. With this new schema, he was able to give an interpretation of Analysis, extending Gödel's Dialectica interp...