Whittle, J. (1995). Analogy in clam. Unpublished M.Sc. thesis, Department of Artificial Intelligence, Edinburgh. 18

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Analogy and Automated Reasoning - Jamnik (1999)   (Correct)

.... an example of a source theorem S, a target theorem T , the rewrite rules associated with S and T , and the source proof plan of S: Source theorem S: length(x y) length(y x) 1) Target theorem T : half (x y) half (y x) 2) 1 For more detailed information, the reader is referred to [Whittle, 1995]. Also, the initial ideas for the use of analogy in theorem proving are presented in [Melis, 1995] 4 Source rewrite rules: X : Y ) Z ) X : Y Z) 3) length(X : Y ) s(length(Y ) 4) length(X (Y : Z) s(length(X Z) 5) Target rewrite rules: s(Y ) Z ) s(Y Z) 6) half ....

....1 . Other additional constraints are : 2 = 3 , 5 = 4 and s 1 = s 2 . In order to make the basic and extended mappings ABALONE uses a form of matching referred to as restricted second order mapping. For more information on the algorithm implementing this mapping, the reader is referred to [Whittle, 1995]. The basic mapping m b maps the source theorem S to the target theorem T by using labelled fragments [Hutter, 1994] The intricacies of this heuristic technique are not central to this paper. In the case of S and T , the basic mapping yields m b (length) half and m b ( The extended ....

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Whittle, J. (1995). Analogy in clam. Unpublished M.Sc. thesis, Department of Artificial Intelligence, Edinburgh. 18

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