# * Instantiation of Existentially Quantified Variables in Inductive Specification Proofs *

## by Brigitte Pientka, Christoph Kreitz

1998

Proceedings of Fourth International Conference on Artificial Intelligence and Symbolic Computation (AISC'98)

**Abstract**

We present an automatic approach for instantiating existentially quantified variables in inductive specifications proofs. Our approach uses first-order meta-variables in place of existentially quantified variables and combines logical proof search with rippling techniques. We avoid the non-termination problems which usually occur in the presence of existentially quantified variables. Moreover, we are able to synthesize conditional substitutions for the meta-variables. We illustrate our approach by discussing the specification of the integer square root.

**bibTex ref: PK98**

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