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**1 - 1**of**1**### Can Model Builders Help Logicians in Building Infinite Models?

"... this paper, we show how to use a model builder for building interactively a model of the formula proposed by Goldfarb. As recalled above, this formula is satisfiable, but does not have any finite model. Hence, any enumeration based finite model builder will fail on this problem. A Herbrand model bui ..."

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this paper, we show how to use a model builder for building interactively a model of the formula proposed by Goldfarb. As recalled above, this formula is satisfiable, but does not have any finite model. Hence, any enumeration based finite model builder will fail on this problem. A Herbrand model builder (such as the RAMC method [4,1] or the method by Fermuller and Leitsch [6]) fails as well, because of the presence of equality and to the transformation into clausal form (which does not preserve the models). The model builder used to deal with this formula is an enumeration-based system for building infinite Herbrand models, represented by using equational formulae, developed in the inference laboratory Atinf [2,13]. The model building process is divided into two steps.