I will begin by explaining an optimal tableau-based algorithm for checking ALC-satisfiability which uses "global caching" and which appears to work well in practice. The algorithm settles a conjecture that "global caching can lead to optimality". I will then explain how "global caching" can be extended to "global state caching" for inverse roles, thereby extending the result to ALCI-satisfiability, and converse roles in general. Finally, I will explain how "global caching" can be used to give...[Show more]
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