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CSL
2003
Springer
15 years 11 months ago
A Strongly Normalising Curry-Howard Correspondence for IZF Set Theory
We propose a method for realising the proofs of Intuitionistic Zermelo-Fraenkel set theory (IZF) by strongly normalising λ-terms. This
Alexandre Miquel
CADE
2006
Springer
16 years 6 months ago
On the Strength of Proof-Irrelevant Type Theories
We present a type theory with some proof-irrelevance built into the conversion rule. We argue that this feature is useful when type theory is used as the logical formalism underlyi...
Benjamin Werner
CADE
2003
Springer
16 years 6 months ago
Canonization for Disjoint Unions of Theories
If there exist efficient procedures (canonizers) for reducing terms of two first-order theories to canonical form, can one use them to construct such a procedure for terms of the d...
Sava Krstic, Sylvain Conchon
CLIMA
2010
15 years 8 months ago
Combining Logics in Simple Type Theory
Simple type theory is suited as framework for combining classical and non-classical logics. This claim is based on the observation that various prominent logics, including (quantif...
Christoph Benzmüller
CSL
2010
Springer
15 years 7 months ago
Formal Theories for Linear Algebra
We introduce two-sorted theories in the style of [CN10] for the complexity classes L and DET, whose complete problems include determinants over Z2 and Z, respectively. We then desc...
Stephen Cook, Lila Fontes