Tools for proving inductive equalities, relative completeness, and ω-completeness
نویسندگان
چکیده
منابع مشابه
On Proving Limiting Completeness
We give two proofs of Wadsworth's classic approximation theorem for the pure A-calculus. One of these illustrates a new method utilising a certain kind of intermediate semantics for proving correspondences between denotational and operational semantics. The other illustrates a direct technique of Milne, employing recursively-specified inclusive relations.
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A lot of the human ability to prove hard mathematical theorems can be ascribed to a domain-speciic problem solving know-how. Such knowledge is intrin-sically incomplete. In order to solve related problems, human mathematicians can go beyond their acquired knowledge by adapting their know-how. These two aspects, having rich experience and extending it by need, can be simulated in a proof plannin...
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The Boolean ring $B$ of measurable subsets of the unit interval, modulo sets of measure zero, has proper radical ideals (for example, ${0})$ that are closed under the natural metric, but has no prime ideal closed under that metric; hence closed radical ideals are not, in general, intersections of closed prime ideals. Moreover, $B$ is known to be complete in its metric. Togethe...
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ژورنال
عنوان ژورنال: Information and Computation
سال: 1990
ISSN: 0890-5401
DOI: 10.1016/0890-5401(90)90033-e