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» On Several Proofs of the Recognizability Theorem
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LCC
1994
209views Algorithms» more  LCC 1994»
15 years 3 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
15 years 3 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
81
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AISC
2008
Springer
15 years 1 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»
14 years 11 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
15 years 3 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