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» Proof theory and computational analysis
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LICS
2003
IEEE
13 years 12 months ago
Polynomial-time Algorithms from Ineffective Proofs
We present a constructive procedure for extracting polynomial-time realizers from ineffective proofs of Π0 2theorems in feasible analysis. By ineffective proof we mean a proof wh...
Paulo Oliva
DLT
2008
13 years 8 months ago
Derivation Tree Analysis for Accelerated Fixed-Point Computation
We show that for several classes of idempotent semirings the least fixed-point of a polynomial system of equations X = f(X) is equal to the least fixed-point of a linear system obt...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...
CIE
2007
Springer
13 years 10 months ago
Effective Computation for Nonlinear Systems
Nonlinear dynamical and control systems are an important source of applications for theories of computation over the the real numbers, since these systems are usually to complicate...
Pieter Collins
CSL
2007
Springer
14 years 23 days ago
Proofs, Programs and Abstract Complexity
Programs and Abstract Complexity A. Beckmann University of Wales Swansea Swansea, UK Axiom systems are ubiquitous in mathematical logic, one famous and well studied example being ...
Arnold Beckmann
TPHOL
2005
IEEE
14 years 4 days ago
A HOL Theory of Euclidean Space
We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
John Harrison