26 research outputs found
From coinductive proofs to exact real arithmetic: theory and applications
Based on a new coinductive characterization of continuous functions we
extract certified programs for exact real number computation from constructive
proofs. The extracted programs construct and combine exact real number
algorithms with respect to the binary signed digit representation of real
numbers. The data type corresponding to the coinductive definition of
continuous functions consists of finitely branching non-wellfounded trees
describing when the algorithm writes and reads digits. We discuss several
examples including the extraction of programs for polynomials up to degree two
and the definite integral of continuous maps
The pteridophyta of Bioko (Fernando Poo) : (Contributions to a Flora of the island) : IV : Isoëtaceae, Pteridaceae, Acrostichaceae, Dennstaedtiaceae, Hypolepidaceae, Athyriaceae, Thelypteridaceae, Blechnaceae
The pteridophyta of Bioko (Fernando Po) : (Contributions to a Flora of the island) : V : Aspleniaceae, Aspidiaceae, Lomariopsidaceae, Elaphoglossaceae
The pteridophyta of Bioko (Fernando Po) : (Contributions to a Flora of the island): III : Ophioglossaceae, Sinopteridaceae, Vittariaceae, Polypodiaceae, Grammitaceae, Loxogrammaceae, Davalliaceae, Oleandraceae, Nephrolepidaceae
The pteridophyta of Bioko (Fernando Po) : (Contributions to a Flora of the island) : I : Lycopodiaceae, Selaginellaceae, Psilotaceae, Gleicheniaceae, Osmundaceae, Cyatheaceae
The pteridophyta of Bioko (Fernando Po) : (Contributions to a Flora of the island) : II : Marattiaceae, Hymenophyllaceae, Adiantaceae, Hemionitidaceae
A NEW SPECIES OF PTILOTUS-D FROM SOUTH AUSTRALIA AMARANTHACEAE-D PTILOTUS-SYMONII-D
Volume: 92Start Page: 33End Page: 3
Five new taxa of Ptilotus (Amaranthaceae) from Western Australia
Volume: 3Start Page: 157End Page: 17