Geodesic
Group Theory and the Principle of Duality
Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 43-50

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In [1] the Principle of Duality of mathematical logic (which states that the duals of equivalent well-formed formulas are also equivalent) is established by first showing that certain transforms related to the duality transform, also possess this property. The transforms involved are ,, , and which are defined as follows. 
Lightstone, A.H. Group Theory and the Principle of Duality. Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 43-50. doi: 10.4153/CMB-1968-006-9
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     author = {Lightstone, A.H.},
     title = {Group {Theory} and the {Principle} of {Duality}},
     journal = {Canadian mathematical bulletin},
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     year = {1968},
     volume = {11},
     number = {1},
     doi = {10.4153/CMB-1968-006-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-006-9/}
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