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AI
2005
Springer
13 years 4 months ago
First order LUB approximations: characterization and algorithms
One of the major approaches to approximation of logical theories is the upper and lower bounds approach introduced in (Selman and Kautz, 1991, 1996). In this paper, we address the...
Alvaro del Val
LOGCOM
2010
104views more  LOGCOM 2010»
13 years 3 months ago
Herbrand's Theorem, Skolemization and Proof Systems for First-Order Lukasiewicz Logic
Abstract. An approximate Herbrand theorem is established for firstorder infinite-valued Lukasiewicz Logic and used to obtain a proof-theoretic proof of Skolemization. These resul...
Matthias Baaz, George Metcalfe
SIAMJO
2008
81views more  SIAMJO 2008»
13 years 3 months ago
A First-Order Convergence Analysis of Trust-Region Methods with Inexact Jacobians
A class of trust-region algorithms is developed and analyzed for the solution of minimization problems with nonlinear inequality constraints. Based on composite-step trust region ...
Andrea Walther
SIAMSC
2010
142views more  SIAMSC 2010»
13 years 3 months ago
Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics
This paper develops a nested iteration algorithm to solve time-dependent nonlinear systems of partial differential equations. For each time step, Newton’s method is used to form...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...
CSL
2001
Springer
13 years 9 months ago
A Logic for Approximate First-Order Reasoning
Abstract. In classical approaches to knowledge representation, reasoners are assumed to derive all the logical consequences of their knowledge base. As a result, reasoning in the ...
Frédéric Koriche