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IJCAI
2003
15 years 7 months ago
Automated Reasoning: Past Story and New Trends
We overview the development of first-order automated reasoning systems starting from their early years. Based on the analysis of current and potential applications of such systems...
Andrei Voronkov
FOCS
2006
IEEE
16 years 21 hour ago
On a Geometric Generalization of the Upper Bound Theorem
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
Uli Wagner
ITP
2010
140views Mathematics» more  ITP 2010»
15 years 10 months ago
Case-Analysis for Rippling and Inductive Proof
Abstract. Rippling is a heuristic used to guide rewriting and is typically used for inductive theorem proving. We introduce a method to support case-analysis within rippling. Like ...
Moa Johansson, Lucas Dixon, Alan Bundy
MLQ
1998
61views more  MLQ 1998»
15 years 5 months ago
Extracting Algorithms from Intuitionistic Proofs
This paper presents a new method – which does not rely on the cut-elimination theorem – for characterizing the provably total functions of certain intuitionistic subsystems of ...
Fernando Ferreira, António Marques
CSL
1994
Springer
15 years 10 months ago
Resolution Games and Non-Liftable Resolution Orderings
We prove the completeness of the combination of ordered resolution and factoring for a large class of non-liftable orderings, without the need for any additional rules like satura...
Hans de Nivelle