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Finite Lattices Do Not Make Reasoning in ALCI Harder

Authors :
Bobillo, F
Carvalho, R
da Costa, PCG
d'Amato, C
Fanizzi, N
Laskey, KB
Laskey, KJ
Lukasiewicz, T
Martin, T
Nickles, M
Pool, M
Borgwardt, S
Peñaloza, R
Bobillo, F
Carvalho, R
da Costa, PCG
d'Amato, C
Fanizzi, N
Laskey, KB
Laskey, KJ
Lukasiewicz, T
Martin, T
Nickles, M
Pool, M
Borgwardt, S
Peñaloza, R
Publication Year :
2011

Abstract

We consider the fuzzy logic ALCI with semantics based on a finite residuated lattice. We show that the problems of satisfiability and subsumption of concepts in this logic are ExpTime-complete w.r.t. general TBoxes and PSpace-complete w.r.t. acyclic TBoxes. This matches the known complexity bounds for reasoning in crisp ALCI.

Details

Database :
OAIster
Notes :
English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1311396143
Document Type :
Electronic Resource