A Simple Proof of the Completeness Theorem of the Intuitionistic Predicate Calculus with Respect to the Topological Semantics
نویسنده
چکیده
In this paper a simple proof of the completeness theorem of the intuitionistic predicate calculus with respect to the topological semantics is shown. From a technical point of view the proof of the completeness theorem is based on a Rasiowa-Sikirski-like theorem for the countable Heyting algebras which allows to embadd any countable Heyting algebra into a suitable topology in a such way that a countable quantity of the existing suprema are respected.
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