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ECCC
2010

On optimal proof systems and logics for PTIME

13 years 5 months ago
On optimal proof systems and logics for PTIME
We prove that TAUT has a p-optimal proof system if and only if a logic related to least fixed-point logic captures polynomial time on all finite structures. Furthermore, we show that TAUT has no effective p-optimal proof system if NTIME(hO(1) ) DTIME(hO(log h) ) for every time constructible and increasing function h.
Yijia Chen, Jörg Flum
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2010
Where ECCC
Authors Yijia Chen, Jörg Flum
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