η-conversions of IPC implemented in atomic F
نویسنده
چکیده
It is known that the β-conversions of the full intuitionistic propositional calculus (IPC) translate into βη-conversions of the atomic polymorphic calculus Fat. Since Fat enjoys the property of strong normalization for βη-conversions, an alternative proof of strong normalization for IPC considering β-conversions can be derived. In the present paper we improve the previous result by analyzing the translation of the η-conversions of the latter calculus into a technical variant of the former system (the atomic polymorphic calculus Fat). In fact, from the strong normalization of Fat we can derive the strong normalization of the full intuitionistic propositional calculus considering all the standard (β and η) conversions.
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عنوان ژورنال:
- Logic Journal of the IGPL
دوره 25 شماره
صفحات -
تاریخ انتشار 2017