Reverse Mathematics and Completeness Theorems for Intuitionistic Logic

Notre Dame Journal of Formal Logic 42 (3):143-148 (2001)
In this paper, we investigate the logical strength of completeness theorems for intuitionistic logic along the program of reverse mathematics. Among others we show that is equivalent over to the strong completeness theorem for intuitionistic logic: any countable theory of intuitionistic predicate logic can be characterized by a single Kripke model
Keywords reverse mathematics   second-order arithmetic   completeness theorems   intuitionistic logic
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DOI 10.1305/ndjfl/1063372197
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