منابع مشابه
Automated Mathematical Induction
Proofs by induction are important in many computer science and artiicial intelligence applications , in particular, in program veriication and speciication systems. We present a new method to prove (and disprove) automatically inductive properties. Given a set of axioms, a well-suited induction scheme is constructed automatically. We call such an induction scheme a test set. Then, for proving a...
متن کامل11 Mathematical Induction 12
Before presenting the details of the principle of mathematical induction let’s understand the situations to which it applies. We’ve seen that to prove a universal assertion, we start by setting up the scenario that represents the hypothesis of the assertion. This scenario involves certain hypothetical objects, and certain assumptions. We then use the information of the scenario to work towards ...
متن کاملMathematical induction and explanation
Hawley, K. 2008. Persistence and determination. Philosophy 83 (Suppl 62), 197–212. Langford, S. 2007. How to defend the cohabitation theory. The Philosophical Quarterly 57: 212–24. Lewis, D. 1983. Postscripts to ‘Survival and identity’. Philosophical Papers Volume I: 73–77. McGrath, M. 2007. Four-dimensionalism and the puzzles of coincidence. In Oxford Studies in Metaphysics 3, ed. Dean Zimmerm...
متن کاملMathematical Induction Made
Several concise formulations of mathematical induction are presented and proven equivalent. The formulations are expressed in variable-free relation algebra and thus are in terms of relations only, without mentioning the related objects. It is shown that the induction principle in this form lends itself very well for use in calculational proofs. As a non-trivial example a proof of a generalisat...
متن کامل"Term Partition" for Mathematical Induction
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ژورنال
عنوان ژورنال: GISAP:Physics, Mathematics and Chemistry
سال: 2015
ISSN: 2054-6491,2054-6483
DOI: 10.18007/gisap:pmc.v0i6.1078