An Incremental Knowledge Compilation in First Order Logic

An algorithm to compute the set of prime implicates of a quantifier-free clausal formula X in first order logic had been presented in earlier work. As the knowledge base X is dynamic, new clauses are added to the old knowledge base. In this paper an incremental algorithm is presented to compute the prime implicates of X and a clause C from $π(X)\cup C$. The correctness of the algorithm is also proved.

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