@INPROCEEDINGS{Ohlbach+Schmidt+Hustadt@DL1995,
 AUTHOR    = {Ohlbach, Hans J{\"u}rgen and Schmidt, Renate A. and 
              Hustadt, Ullrich},
 TITLE     = {Symbolic Arithmetical Reasoning with Qualified Number 
              Restrictions},
 BOOKTITLE = {International Workshop on Description Logics (DL'95)
 [Rome, Italy, 2-3 June 1995]},
 PMONTH    = may,
 PYEAR     = {1995},
 EDITOR    = {Borgida, A. and Lenzerini, M. and Nardi, D. and Nebel, B.},
 PAGES     = {89-95},
 CADDRESS  = {Rome, Italy},
 CMONTH    = jun # {~2--3},
 CYEAR     = {1995},
 YEAR      = {1995},
 URL       = {Ohlbach+Schmidt+Hustadt@DL1995.pdf},
 NOTE      = {Proceedings appeared as Technical Report RAP.07.95, Dipartimento di 
              Informatica e Sistemistica, Univ. degli studia di Roma, 
              1995},
 ABSTRACT  = {Many inference systems used for concept description logics 
     are constraint systems that employ tableaux methods. These have the 
     disadvantage that for reasoning with qualified number 
     restrictions n new constant symbols are generated for each concept 
     of the form (atleast n R C). In this paper we present an alternative
     method that avoids the generation of constants and uses a restricted
     form of symbolic arithmetic considerably different from the tableaux
     method. The method we use is introduced in Ohlbach, Schmidt and 
     Hustadt (May 1995) for reasoning with graded modalities. We exploit 
     the exact correspondence between the concept description language 
     ALCN and the multi-modal version of the graded modal logic K and 
     show how the method can be applied to ALCN as well. 
     This paper is a condensed version of Ohlbach et al. (May 1995). We 
     omit proofs and much of the technical details, but we include some 
     examples.}
}

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