The completeness of Heyting first-order logic
نویسندگان
چکیده
منابع مشابه
The completeness of Heyting first-order logic
Restricted to first-order formulas, the rules of inference in the Curry-Howard type theory are equivalent to those of first-order predicate logic as formalized by Heyting, with one exception: ∃-elimination in the Curry-Howard theory, where ∃x : A.F (x) is understood as disjoint union, are the projections, and these do not preserve firstorderedness. This note shows, however, that the Curry-Howar...
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ژورنال
عنوان ژورنال: Journal of Symbolic Logic
سال: 2003
ISSN: 0022-4812,1943-5886
DOI: 10.2178/jsl/1058448436