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» Reasoning with Axioms: Theory and Practice
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ISSAC
2007
Springer
142views Mathematics» more  ISSAC 2007»
15 years 5 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
15 years 3 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
15 years 11 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
15 years 11 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
15 years 11 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 ...