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» Existential Fixed-Point Logic
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LICS
2010
IEEE
14 years 7 months ago
Fixed-Point Definability and Polynomial Time on Graphs with Excluded Minors
We prove that fixed-point logic with counting captures polynomial time on all classes of graphs with excluded minors. That is, for every class C of graphs such that some graph H is...
Martin Grohe
JAIR
2008
102views more  JAIR 2008»
14 years 10 months ago
An Ordinal Bargaining Solution with Fixed-Point Property
Shapley's impossibility result indicates that the two-person bargaining problem has no non-trivial ordinal solution with the traditional game-theoretic bargaining model. Alth...
Dongmo Zhang, Yan Zhang
ITP
2010
156views Mathematics» more  ITP 2010»
15 years 1 months ago
The Optimal Fixed Point Combinator
In this paper, we develop a general theory of fixed point combinators, in higher-order logic equipped with Hilbert’s epsilon operator. This combinator allows for a direct and e...
Arthur Charguéraud
DLT
2008
14 years 11 months ago
Fixed Point and Aperiodic Tilings
An aperiodic tile set was first constructed by R. Berger while proving the undecidability of the domino problem. It turned out that aperiodic tile sets appear in many topics rangin...
Bruno Durand, Andrei E. Romashchenko, Alexander Sh...
ICALP
2007
Springer
15 years 4 months ago
Regular Languages of Nested Words: Fixed Points, Automata, and Synchronization
Abstract. Nested words are a restriction of the class of visibly pushdown languages that provide a natural model of runs of programs with recursive procedure calls. The usual conne...
Marcelo Arenas, Pablo Barceló, Leonid Libki...