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ExpTime Tableaux for the Description Logic SHIQ Based on Global State Caching and Integer Linear Feasibility Checking (1205.5838v4)
Published 25 May 2012 in cs.LO
Abstract: We give the first ExpTime (complexity-optimal) tableau decision procedure for checking satisfiability of a knowledge base in the description logic SHIQ when numbers are coded in unary. Our procedure is based on global state caching and integer linear feasibility checking.