@article{OGIHARA1996171,
    Abstract = {For any operatorτon integer-valued functions, we say that \#P isclosed under τ in the context ofPF∘\#P if, for everyf∈\#P,τ[f] belongs to PF∘num;P. For several operatorsτ, it is shown that the closure properties of \#P underτin the above sense is closely related to the relationships between P\#P[1]and higher classes such as PHPPand PPPP.},
    Author = {Ogihara, Mitsunori and Thierauf, Thomas and Toda, Seinosuke and Watanabe, Osamu},
    File = {On Closure Properties of \#P in the Context of PF∘\#P - 1-s2.0-S0022000096900598-main.pdf},
    ISSN = {0022-0000},
    Journal = {Journal of Computer and System Sciences},
    Number = {2},
    Pages = {171-179},
    Title = {{On Closure Properties of \#P in the Context of PF \#P}},
    URL = {https://www.sciencedirect.com/science/article/pii/S0022000096900598},
    Volume = {53},
    Year = {1996},
    bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S0022000096900598},
    bdsk-url-2 = {https://doi.org/10.1006/jcss.1996.0059},
    date-added = {2022-02-21 17:35:32 +0100},
    date-modified = {2022-02-21 17:35:32 +0100},
    doi = {10.1006/jcss.1996.0059}
}

@article{OGIHARA1996171, Abstract = {For any operatorτon integer-valued functions, we say that #P isclosed under τ in the context ofPF∘#P if, for everyf∈#P,τ[f] belongs to PF∘num;P. For several operatorsτ, it is shown that the closure properties of #P underτin the above sense is closely related to the relationships between P#P[1]and higher classes such as PHPPand PPPP.}, Author = {Ogihara, Mitsunori and Thierauf, Thomas and Toda, Seinosuke and Watanabe, Osamu}, File = {On Closure Properties of #P in the Context of PF∘#P - 1-s2.0-S0022000096900598-main.pdf}, ISSN = {0022-0000}, Journal = {Journal of Computer and System Sciences}, Number = {2}, Pages = {171-179}, Title = {{On Closure Properties of #P in the Context of PF #P}}, URL = {https://www.sciencedirect.com/science/article/pii/S0022000096900598}, Volume = {53}, Year = {1996}, bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S0022000096900598}, bdsk-url-2 = {https://doi.org/10.1006/jcss.1996.0059}, date-added = {2022-02-21 17:35:32 +0100}, date-modified = {2022-02-21 17:35:32 +0100}, doi = {10.1006/jcss.1996.0059} }