D. Gries and F. B. Schneider. A new approach to teaching mathematics. Technical report, Computer Science, Cornell University., February 1994. Unpublished.

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Teaching freshman logic with Mizar-MSE - Hoover, Rudnicki (1996)   (2 citations)  (Correct)

....this case although students initially tend to be confused by the instantiation of witnesses. On the other hand, equational reasoning can save many steps over the standard natural deduction argument. Figure 4 is an example where the equational reasoning approach is clearly superior (taken from [4], page 5) Contrast this with the longer Mizar MSE proof, Figure 5, where we do not have a term language, and a cumbersome means of handling equivalences. Definition of Union: v 2 B [ C j v 2 B v 2 C) Definition of Subset: B C j (8x j x 2 B : x 2 C) Proposition: A C B C j A [ B C A ....

D. Gries and F. B. Schneider. A new approach to teaching mathematics. Technical report, Computer Science, Cornell University., February 1994. Unpublished.

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