A search for neutral Higgs bosons of the Minimal Supersymmetric Standard Model (MSSM) is reported. The analysis is based on a sample of proton-proton collisions at a centre-of-mass energy of 7 TeV recorded with the ATLAS detector at the Large Hadron Collider. The data were recorded in 2011 and correspond to an integrated luminosity of 4.7 fb$^{-1}$ to 4.8 fb$^{-1}$. Higgs boson decays into oppositely-charged muon or tau lepton pairs are considered for final states requiring either the presence or absence of b-jets. No statistically significant excess over the expected background is observed and exclusion limits at the 95% confidence level are derived. The exclusion limits are for the production cross-section of a generic neutral Higgs boson, $\phi$, as a function of the Higgs boson mass and for h/H/A production in the MSSM as a function of the parameters $m_A$ and $tan\beta$ in the $m_h^{max}$ scenario for $m_A$ in the range of 90 GeV to 500 GeV.

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