  Around 160 gamma-ray pulsars were discovered by the Fermi Large Area
Telescope (LAT) since 2008. The most energetic of them, 12 objects with
emission above 25 GeV, are suitable candidates for the detection with the
current and future Imaging Atmospheric Cherenkov Telescopes above few tens of
GeV. We perform an analysis of the Fermi-LAT data of these high-energy pulsars
in order to determine if such objects can be detected with the Cherenkov
Telescope Array (CTA). Our goal is to forecast the significance of their point
source detection with CTA. We analyze 5 years of the Fermi-LAT data fitting the
spectra of each pulsar at energies E>10 GeV with a power-law function. Assuming
no spectral cut-off, we extrapolate the resulting spectra to the very high
energy range (VHE, E>0.1 TeV) and simulate CTA observations of all 12 pulsars
with the ctools software package. Using different analysis tools, individual
CTA sensitivity curves are independently calculated for each pulsar and
cross-checked with the ctools results. Our simulations result in significant
CTA detections of up to 8 pulsars in 50 h. Observations of the most energetic
Fermi pulsars with CTA will shed light on the nature of the high-energy
emission of pulsars, clarifying whether the VHE emission detected in the Crab
pulsar spectrum is present also in other gamma-ray pulsars.
