| 41. | Dantzig provided formal proof in an unpublished report " A Theorem on Linear Inequalities " on January 5, 1948.
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| 42. | The point of view that generating formal proofs is all there is to mathematics is often called " formalism ".
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| 43. | Joe Gerver has given a heuristic model for the existence of 4-body singularities but at present no formal proof exists.
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| 44. | For theoretical analysis, this approach is more suited for constructing detailed formal proofs and is generally preferred in the research literature.
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| 45. | Formal verification can also be explored as an alternative to simulation, although a formal proof is not always possible or convenient.
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| 46. | He took this disparity to mean that human mathematicians are not formal proof systems and are not running a computable algorithm.
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| 47. | The definition of a formal proof is intended to capture the concept of proofs as written in the practice of mathematics.
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| 48. | Automated theorem proving refers to the development of computer programs that search and find derivations ( formal proofs ) of mathematical theorems.
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| 49. | According to these findings six American space program and the lack of any formal proof of his direct involvement in war crimes.
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| 50. | Problems inherent in the definitions used by Newton would lead to a resurgence of careful analysis and formal proof in the 19th century.
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