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In this paper we study possibilities of interpolation and symbol elimination in extensions of a theory $\mathcal{T}_0$ with additional function symbols whose properties are axiomatised using a set of clauses. We analyze situations in which…

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This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.

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This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.

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This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.

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