منابع مشابه
Henkin on Completeness
The Completeness of Formal Systems is the title of the thesis that Henkin presented at Princenton in 1947, under the guiadance of Alonzo Church. His renowned results on completeness for both type theory and first order logic are part of his thesis. It is interesting to note that he obtained the proof of completeness of first order logic readapting the argument found for the theory of types. It ...
متن کاملA Henkin-Style Proof of Completeness for First-order Algebraizable Logics
This paper considers Henkin’s proof of completeness of classical first-order logic and extends its scope to the realm of algebraizable logics in the sense of Blok and Pigozzi. Given a propositional logic L (for which we only need to assume that it has an algebraic semantics L and a suitable disjunction) we axiomatize two natural firstorder extensions L∀ and L∀ and prove that the former is compl...
متن کاملThe Countable Henkin Principle
This is a revised and extended version of an article which encapsulates a key aspect of the “Henkin method” in a general result about the existence of finitely consistent theories satisfying prescribed closure conditions. This principle can be used to give streamlined proofs of completeness for logical systems, in which inductive Henkin-style constructions are replaced by a demonstration that a...
متن کاملDASTWAR: a tool for completeness estimation in magnitude-size plane
Today, great observatories around the world, devote a substantial amount of observing time to sky surveys. The resulted images are inputs of source finder modules. These modules search for the target objects and provide us with source catalogues. We sought to quantify the ability of detection tools in recovering faint galaxies regularly encountered in deep surveys. Our approach was based on com...
متن کاملSolution of a Problem of Leon Henkin
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ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 1967
ISSN: 0029-4527
DOI: 10.1305/ndjfl/1093956082