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DAM
2007
83views more  DAM 2007»
14 years 10 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
15 years 3 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
15 years 4 months 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
15 years 5 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