منابع مشابه
Learning to Prove in Order to Prove to Learn
Proving is a basic skill for mathematicians; however, this is a difficult skill for some students to learn. In fact, traditionally students have struggled with learning to prove in their junior level mathematics courses. Recently, many universities have instituted a transition course to help students make the transition from computational courses to more proof based courses. This paper is a sur...
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In this paper we present a terminating, sound and complete algorithm for the verification of recursively defined data structures. To mention some, nat, list and tree data types and also record are commonly used examples of such structures. Recursively defined data structures are of value for use in software verification. Many programming languages support recursive data structures. The best kno...
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Automatic termination analysers typically measure the size of terms applying norms which are mappings from terms to the natural numbers. This paper illustrates how to enable the use of size functions defined as tuples of these simpler norm functions. This approach enables us to simplify the problem of deriving automatically a candidate norm with which to prove termination. Instead of deriving a...
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In this paper, we show that a variety of important philosophical claims that Saul Kripke has advanced in his work are either provable in, or validated by, the theory of abstract objects (hereafteròbject theory'). 1 We'll investigate both metaphysical claims and claims concerning language which appear in Kripke's work. To establish that one of Kripke's metaphysical claims is provable in object t...
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“The exception that proves the rule...” This often-misunderstood English language idiom, at least in its “loose rhetorical sense” [1], is highly applicable to the transmission from providers infected with blood-borne pathogens to their patients (ie, the rarity of these events helps characterize and define the miniscule risk for these transmissions in the practice of modern medicine). Decades of...
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ژورنال
عنوان ژورنال: Nature
سال: 1995
ISSN: 0028-0836,1476-4687
DOI: 10.1038/374493a0