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We have studied the theoretical problems of logic of ??-PSML (problem solver markup language) constructed by combining description logic and Horn clauses. In the nonrecursive case, we show that a single step of applying a Horn clause needs to be replaced by a more sophisticated reasoning step in ??-PSML. We call it as the hybrid reasoning algorithm. We described the hybrid reasoning algorithm in former...
Counting solutions of various combinatorial problems is a well established and intensively studied area of theoretical computer science. Its applications range from networking to statistical physics. The central question in this area is the complexity of and algorithms for problems of this type. It turns out that in many important cases these questions can be answered with aid of certain clones of...
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