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arxiv: 1110.0461 · v2 · pith:45CDZXFKnew · submitted 2011-10-03 · 💻 cs.CC

LSM is not generated by binary functions

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keywords functionsbinarydefinedanswerapproximatearxivaskedbulatov
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The material in this note is now superseded by arXiv:1108.5288v4. Bulatov et al. [1] defined the operation of (efficient) pps_\omega-definability in order to study the computational complexity of certain approximate counting problems. They asked whether all log-supermodular functions can be defined by binary implication and unary functions in this sense. We give a negative answer to this question.

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