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FOCM
2002
83views more  FOCM 2002»
13 years 7 months ago
A Rigorous ODE Solver and Smale's 14th Problem
We present an algorithm for computing rigorous solutions to a large class of ordinary differential equations. The main algorithm is based on a partitioning process and the use of i...
Warwick Tucker
CSL
2001
Springer
13 years 12 months ago
Beyond Regularity: Equational Tree Automata for Associative and Commutative Theories
Abstract. A new tree automata framework, called equational tree automata, is presented. In the newly introduced setting, congruence closures of recognizable tree languages are reco...
Hitoshi Ohsaki
CIE
2006
Springer
13 years 11 months ago
Forcing with Random Variables and Proof Complexity
or representation theory of groups), and even borrows abstract geometrical concepts like Euler characteristic or Grothendieck ring. However, the most stimulating for proof complexi...
Jan Krajícek
CSR
2010
Springer
14 years 6 days ago
Balancing Bounded Treewidth Circuits
Algorithmic tools for graphs of small treewidth are used to address questions in complexity theory. For both arithmetic and Boolean circuits, it is shown that any circuit of size ...
Maurice Jansen, Jayalal M. N. Sarma
PLILP
1993
Springer
13 years 11 months ago
Narrowing Approximations as an Optimization for Equational Logic Programs
Abstract. Solving equations in equational theories is a relevant programming paradigm which integrates logic and equational programming into one unified framework. Efficient metho...
María Alpuente, Moreno Falaschi, Marí...