By South Africa) African Electrical Technology Conference (5th : 1999 : Cape Town
This quantity comprises the lawsuits at the AFRICON 1999 convention. issues coated comprise: fabrics and criteria; communications and sign processing; mining and steel processing; biomedical imaging; and robotics and motor regulate.
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Additional resources for Africon '99: 5th Africon Conference in Africa, Electrotechnological Services for Africa;28 September - 1 October 1999 Hosted by Cape Technikon Cape Town, South afr
Encouraged by the widespread embrace of the random SAT model, random instances of QBF have started to attract some attention (see [8,2,11]). Models for generating random instances of QBF have been initiated in . Experimental studies have revealed that QBFs in prenex conjunctive normal form show a sharp transition from satisﬁability to unsatisﬁability, similar to the one observed for SAT. ¨ This work has been supported by EGIDE 10632SE, OAD Amad´ee 2/2006 and ACI NIM 202. H. Kleine B¨ uning and X.
We discuss its complexity and ﬁnally present the random model. In Section 3, we report some experiments and we show how they have lead to ﬁrst informations on the phase transition from satisﬁability to unsatisﬁability. We also illustrate in this section the limits of the experiments. The proof of our main result is inspired by the investigation done by Chv´ atal, Reed and Goerdt [3,10] in establishing a sharp threshold phenomenon for random 2-SAT (the associated critical ratio being c = 1). It is based on a digraph representation of our formulas presented in Section 4.
Let us now illustrate the usefulness of our proposed extension. Let us consider again the the asserting clause Δ1 corresponding to the classical first UIP. We can generate the following strong asserting clause: c13 = η[x8 , Δ1 , c10 ] = (x117 ∨ ¬x319 ∨ x510 ), c14 = η[x19 , c13 , c11 ] = (x117 ∨ x510 ) and Δs1 = η[x17 , c14 , c12 ] = x510 . In this case we backtrack to the level 0 and we assign x10 to true. Indeed F |= x10 . As we can see Δs1 subsumes Δ1 . If we continue the process we also obtain other strong asserting clauses Δs2 = (¬x34 ∨ x52 ) and Δs3 = (¬x34 ∨ x213 ∨ x16 ∨ ¬x511 ) which subsume respectively Δ2 and Δ3 .
Africon '99: 5th Africon Conference in Africa, Electrotechnological Services for Africa;28 September - 1 October 1999 Hosted by Cape Technikon Cape Town, South afr by South Africa) African Electrical Technology Conference (5th : 1999 : Cape Town