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» Theorem Proving Using Lazy Proof Explication
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ECAI
2004
Springer
15 years 1 months ago
Lakatos-Style Automated Theorem Modification
We describe a flexible approach to automated reasoning, where non-theorems can be automatically altered to produce proved results which are related to the original. This is achieve...
Simon Colton, Alison Pease
CAS
1999
60views more  CAS 1999»
14 years 9 months ago
Coincidences Are not Accidental: a Theorem
In this paper, we formalize and prove the statement that coincidences cannot be accidental, a statement that underlies many useful heuristics in mathematics and physics. Our proof...
Vladik Kreinovich
ENTCS
2007
83views more  ENTCS 2007»
14 years 9 months ago
Enhancing Theorem Prover Interfaces with Program Slice Information
This paper proposes an extension to theorem proving interfaces for use with proofdirected debugging and other disproof-based applications. The extension is based around tracking a...
Louise A. Dennis
BIRTHDAY
2006
Springer
15 years 1 months ago
Reductio ad Absurdum: Planning Proofs by Contradiction
Sometimes it is pragmatically useful to prove a theorem by contradiction rather than finding a direct proof. Some reductio ad absurdum arguments have made mathematical history and ...
Erica Melis, Martin Pollet, Jörg H. Siekmann
86
Voted
JAR
1998
134views more  JAR 1998»
14 years 9 months ago
Integrating Computer Algebra into Proof Planning
Mechanized reasoning systems and computer algebra systems have different objectives. Their integration is highly desirable, since formal proofs often involve both of the two differ...
Manfred Kerber, Michael Kohlhase, Volker Sorge