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LICS
2010
IEEE
15 years 2 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
LICS
2010
IEEE
15 years 2 months ago
Recursion Schemes and Logical Reflection
Let R be a class of generators of node-labelled infinite trees, and L be a logical language for describing correctness properties of these trees. Given R R and L, we say that R ...
Christopher H. Broadbent, Arnaud Carayol, C.-H. Lu...
LICS
2010
IEEE
15 years 2 months ago
On the Scope of the Universal-Algebraic Approach to Constraint Satisfaction
The universal-algebraic approach has proved a powerful tool in the study of the computational complexity of constraint satisfaction problems (CSPs). This approach has previously b...
Manuel Bodirsky, Martin Hils, Barnaby Martin
LPAR
2010
Springer
15 years 2 months ago
A Simple Class of Kripke-Style Models in Which Logic and Computation Have Equal Standing
We present a sound and complete model of lambda-calculus reductions based on structures inspired by modal logic (closely related to Kripke structures). Accordingly we can construct...
Michael Gabbay, Murdoch James Gabbay
LPAR
2010
Springer
15 years 2 months ago
Verifying Pointer and String Analyses with Region Type Systems
Pointer analysis statically approximates the heap pointer structure during a program execution in order to track heap objects or to establish alias relations between references, a...
Lennart Beringer, Robert Grabowski, Martin Hofmann