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DAM
2007
83views more  DAM 2007»
13 years 7 months ago
The proof theoretic strength of the Steinitz exchange theorem
We show that the logical theory QLA proves the Cayley–Hamilton theorem from the Steinitz exchange theorem together with a strengthening of the linear independence principle. Sin...
Michael Soltys
GI
2009
Springer
13 years 11 months ago
Taming Selective Strictness
Abstract: Free theorems establish interesting properties of parametrically polymorphic functions, solely from their types, and serve as a nice proof tool. For pure and lazy functio...
Daniel Seidel, Janis Voigtländer
TPHOL
2005
IEEE
14 years 18 days ago
A Structured Set of Higher-Order Problems
Abstract. We present a set of problems that may support the development of calculi and theorem provers for classical higher-order logic. We propose to employ these test problems as...
Christoph Benzmüller, Chad E. Brown
TLCA
2009
Springer
14 years 1 months ago
Lexicographic Path Induction
Abstract. Programming languages theory is full of problems that reduce to proving the consistency of a logic, such as the normalization of typed lambda-calculi, the decidability of...
Jeffrey Sarnat, Carsten Schürmann