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BIRTHDAY
2010
Springer
13 years 6 months ago
Fixed-Point Definability and Polynomial Time on Chordal Graphs and Line Graphs
The question of whether there is a logic that captures polynomial time was formulated by Yuri Gurevich in 1988. It is still wide open and regarded as one of the main open problems...
Martin Grohe
ICALP
2010
Springer
13 years 9 months ago
On p-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 ...
Yijia Chen, Jörg Flum