Statman's 1-Section Theorem

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Technical Reports (CIS)
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Riecke, Jon G
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Statman's 1-Section Theorem [17] is an important but little-known result in the model theory of the simply-typed λ-calculus. The λ-Section Theorem states a necessary and sufficient condition on models of the simply-typed λ-calculus for determining whether βη-equational reasoning is complete for proving equations that hold in a model. We review the statement of the theorem, give a detailed proof, and discuss its significance.

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1992-01-17
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University of Pennsylvania Department of Computer and Information Science Technical Report No.MS-CIS-92-03.
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