A new proof of the compactness theorem for propositional logic.
نویسندگان
چکیده
منابع مشابه
A new proof of the compactness theorem for propositional logic
The compactness theorem for propositional logic states that a demumerable set of propositional formulas is satisfiable if every finite subset is satisfiable. Though there are many different proofs, the underlying combinatorial basis of most of them seems to be Kόnig's lemma on infinite trees (see Smullyan [2], Thomson [3]). We base our proof on a different combinatorial lemma due to R. Rado [1]...
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ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 1970
ISSN: 0029-4527
DOI: 10.1305/ndjfl/1093893860