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» Theorem Proving Using Lazy Proof Explication
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CADE
2002
Springer
15 years 9 months ago
The Reflection Theorem: A Study in Meta-theoretic Reasoning
The reflection theorem has been proved using Isabelle/ZF. This theorem cannot be expressed in ZF, and its proof requires reasoning at the meta-level. There is a particularly elegan...
Lawrence C. Paulson
LCC
1994
209views Algorithms» more  LCC 1994»
15 years 1 months ago
On Herbrand's Theorem
We firstly survey several forms of Herbrand's theorem. What is commonly called "Herbrand's theorem" in many textbooks is actually a very simple form of Herbrand...
Samuel R. Buss
SAC
2010
ACM
14 years 4 months ago
Similar triangles and orientation in plane elementary geometry for Coq-based proofs
In plane elementary geometry, the concept of similar triangles not only forms an important foundation for trigonometry, but it also can be used to solve many geometric problems. T...
Tuan Minh Pham
ASM
2010
ASM
14 years 12 months ago
Automatic Verification for a Class of Proof Obligations with SMT-Solvers
Abstract. Software development in B and Event-B generates proof obligations that have to be discharged using theorem provers. The cost of such developments therefore depends direct...
David Déharbe
IJCAI
1997
14 years 10 months ago
Automation of Diagrammatic Reasoning
Theoremsin automated theorem proving are usually proved by logical formal proofs. However,there is a subset of problems which humanscan prove in a different wayby the use of geome...
Mateja Jamnik, Alan Bundy, Ian Green