A Proof under a Microscope
Matematičeskoe obrazovanie, Tome 26 (2003) no. 3, pp. 44-58.

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What is mathematical proof and its logical structure? This question is discussed in the paper. The author proposes a tree structure of a proof and shows some advantages compared to a linear structure.
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     author = {I. L. Timofeeva},
     title = {A {Proof} under a {Microscope}},
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I. L. Timofeeva. A Proof under a Microscope. Matematičeskoe obrazovanie, Tome 26 (2003) no. 3, pp. 44-58. http://geodesic.mathdoc.fr/item/MO_2003_26_3_a3/