26 research outputs found

    From coinductive proofs to exact real arithmetic: theory and applications

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    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

    Ptilotus tetrandrus Benl sp. nov. (Amaranthaceae)

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    Volume: 2Start Page: 232End Page: 23

    A NEW SPECIES OF PTILOTUS-D FROM SOUTH AUSTRALIA AMARANTHACEAE-D PTILOTUS-SYMONII-D

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    Volume: 92Start Page: 33End Page: 3

    Ptilotus alexandri Benl sp. nov. (Amaranthaceae)

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    Volume: 1Start Page: 344End Page: 34

    Five new taxa of Ptilotus (Amaranthaceae) from Western Australia

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    Volume: 3Start Page: 157End Page: 17
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