Solving equational problems efficiently

摘要

Equational problems (i.e.: first-order formulae with quantifier prefix, whose only predicate symbol is syntactic equality) are an important tool in many areas of automated deduction. e.g.: restricting the set of ground instances of a clause via equational constraints allows the definition of stronger redundancy criteria and hence, in general, of more efficient theorem provers. Moreover, also the inference rules themselves can be restricted via constraints. In automated model building, equational problems play an important role both in the definition of an appropriate model representation and in the evaluation of clauses in such models. Also, many problems in the area of logic programming can be reduced to equational problem solving.