By Henri Prade, Gilles Richard
Analogical reasoning is really a robust mode for drawing believable conclusions and fixing difficulties. it's been the subject of an important variety of works by way of philosophers, anthropologists, linguists, psychologists, and computing device scientists. As such, it's been early studied in man made intelligence, with a specific renewal of curiosity within the final decade.
The current quantity presents a based view of present examine developments on computational methods to analogical reasoning. It begins with an outline of the sector, with an in depth bibliography.
The 14 accumulated contributions disguise a wide scope of matters. First, using analogical proportions and analogies is defined and mentioned in numerous average language processing difficulties, in addition to in automatic deduction. Then, assorted formal frameworks for dealing with analogies are awarded, facing case-based reasoning, heuristic-driven conception projection, common sense reasoning approximately incomplete rule bases, logical proportions triggered by means of similarity and dissimilarity signs, and analogical proportions in lattice constructions. finally, the quantity studies case reports and discussions concerning the use of similarity judgments and the method of analogy making, at paintings in IQ exams, creativity or different cognitive tasks.
This quantity gathers absolutely revised and multiplied types of papers awarded at a global workshop‚ in addition to invited contributions. All chapters have benefited of an intensive peer evaluate process.
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Extra resources for Computational Approaches to Analogical Reasoning: Current Trends
Sci. Teach. 30(10), 1309–1325 (1993) 205. : Spatial cognition of geometric figures in the context of proportional analogies. , Ligozat, G. ) Spatial Information Theory, volume 5756 of Lecture Notes in Computer Science, pp. 18–35. Springer (2009) 206. : L’Analogie. Que Sais-Je? Presses Universitaires de France (1985) 207. : Analogy counterarguments and the acceptability of analogical hypotheses. Brit. J. Philos. Sci. 53(4), 477–496 (2002) 208. : Mediation = information revelation + analogical reasoning.
This tree structure is quite different from the one used in  to search a space of strings of characters for analogies. Most importantly, our goal is different as we aim at a complete enumeration of all possible ratios, which compelled the design of the 34 Y. Lepage (a) 0 0 0 0 0 1 0 0 1 0 A B 1 1 0 2 0 C 2 2 2 0 2 3 2 2 1 2 D E [A –E ]:none (b) level 1: [A –A ]:0 [B –C ]:1 [D –D ]:2 [E –E ]:3 level 2: [A –A ]:0 [B –B ]:0 [C –C ]:1 [D –D ]:2 [E –E ]:2 level 3: [A –A ]:0 [B –B ]:0 [C –C ]:0 [D –D ]:2 [E –E ]:2 level 4: [A –A ]:0 [B –B ]:1 [C –C ]:2 [D –D ]:0 [E –E ]:1 level 5: [A –A ]:0 [B –B ]:0 [C –C ]:0 [D –D ]:2 [E –E ]:2 Fig.
Among other properties, the eight forms of equivalence for the same proportional analogy (see Sect. 2) always hold. 2 Transitivity of Conformity: Analogical Clusters It is not always the case that conformity verifies transitivity. , an equivalence relation, transitivity naturally holds in addition to reflexivity and symmetry. For proportional analogies, transitivity of conformity implies that: A : B :: C : D and C : D :: E : F ⇒ A : B :: E : F For our present task of enumerating all possible proportional analogies between all objects in a given set, a transitive conformity can lead to an enormous economy in representation.
Computational Approaches to Analogical Reasoning: Current Trends by Henri Prade, Gilles Richard