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FOCS
1998
IEEE
15 years 10 months ago
Unsatisfiable Systems of Equations, Over a Finite Field
The properties of any system of k simultaneous equations in n variables over GF(q), are studied, with a particular emphasis on unsatisfiable systems. A general formula for the num...
Alan R. Woods
CORR
2008
Springer
148views Education» more  CORR 2008»
15 years 4 months ago
Efficiently Simulating Higher-Order Arithmetic by a First-Order Theory Modulo
In deduction modulo, a theory is not represented by a set of axioms but by a congruence on propositions modulo which the inference rules of standard deductive systems--such as for ...
Guillaume Burel
COCO
2010
Springer
148views Algorithms» more  COCO 2010»
15 years 10 months ago
Derandomizing from Random Strings
—In this paper we show that BPP is truth-table reducible to the set of Kolmogorov random strings RK . It was previously known that PSPACE, and hence BPP is Turingreducible to RK ...
Harry Buhrman, Lance Fortnow, Michal Koucký...
DGCI
2006
Springer
15 years 9 months ago
Minimal Decomposition of a Digital Surface into Digital Plane Segments Is NP-Hard
This paper deals with the complexity of the decomposition of a digital surface into digital plane segments (DPS for short). We prove that the decision problem (does there exist a ...
Isabelle Sivignon, David Coeurjolly
ALT
1995
Springer
15 years 9 months ago
Learning Unions of Tree Patterns Using Queries
This paper characterizes the polynomial time learnability of TPk, the class of collections of at most k rst-order terms. A collection in TPk de nes the union of the languages de n...
Hiroki Arimura, Hiroki Ishizaka, Takeshi Shinohara