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» Reasoning with Axioms: Theory and Practice
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ISSAC
2007
Springer
142views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Fast arithmetic for triangular sets: from theory to practice
We study arithmetic operations for triangular families of polynomials, concentrating on multiplication in dimension zero. By a suitable extension of fast univariate Euclidean divi...
Xin Li, Marc Moreno Maza, Éric Schost
KR
2000
Springer
13 years 9 months ago
Partition-Based Logical Reasoning
We investigate the problem of reasoning with partitions of related logical axioms. Our motivation is two-fold. First, we are concerned with how to reason effectively with multiple...
Eyal Amir, Sheila A. McIlraith
CADE
2008
Springer
14 years 5 months ago
MaLARea SG1- Machine Learner for Automated Reasoning with Semantic Guidance
This paper describes a system combining model-based and learning-based methods for automated reasoning in large theories, i.e. on a large number of problems that use many axioms, l...
Geoff Sutcliffe, Jirí Vyskocil, Josef Urban...
CADE
2003
Springer
14 years 5 months ago
A Principle for Incorporating Axioms into the First-Order Translation of Modal Formulae
In this paper we present a translation principle, called the axiomatic translation, for reducing propositional modal logics with background theories, including triangular propertie...
Renate A. Schmidt, Ullrich Hustadt
CADE
2006
Springer
14 years 5 months ago
Cut-Simulation in Impredicative Logics
Abstract. We investigate cut-elimination and cut-simulation in impredicative (higher-order) logics. We illustrate that adding simple axioms such as Leibniz equations to a calculus ...
Christoph Benzmüller, Chad E. Brown, Michael ...