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» On Several Proofs of the Recognizability Theorem
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LCC
1994
209views Algorithms» more  LCC 1994»
13 years 9 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
TABLEAUX
2000
Springer
13 years 8 months ago
Matrix-Based Inductive Theorem Proving
We present an approach to inductive theorem proving that integrates rippling-based rewriting into matrix-based logical proof search. The selection of appropriate connections in a m...
Christoph Kreitz, Brigitte Pientka
AISC
2008
Springer
13 years 7 months ago
Mechanising a Proof of Craig's Interpolation Theorem for Intuitionistic Logic in Nominal Isabelle
Craig's Interpolation Theorem is an important meta-theoretical result for several logics. Here we describe a formalisation of the result for first-order intuitionistic logic w...
Peter Chapman, James McKinna, Christian Urban
CPC
1998
100views more  CPC 1998»
13 years 4 months ago
An Algebraic Proof of Deuber's Theorem
Deuber’s Theorem says that, given any m, p, c, r in N, there exist n, q, µ in N such that whenever an (n, q, cµ )-set is r-coloured, there is a monochrome (m, p, c)-set. This t...
Neil Hindman, Dona Strauss
ECAI
1994
Springer
13 years 9 months ago
Reusing Proofs
1 We develop a learning component for a theorem prover designed for verifying statements by mathematical induction. If the prover has found a proof, it is analyzed yielding a so-ca...
Thomas Kolbe, Christoph Walther