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» A Proof Theory for DL-Lite
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CSL
2003
Springer
15 years 5 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
HASKELL
2005
ACM
15 years 5 months ago
Verifying haskell programs using constructive type theory
Proof assistants based on dependent type theory are closely related to functional programming languages, and so it is tempting to use them to prove the correctness of functional p...
Andreas Abel, Marcin Benke, Ana Bove, John Hughes,...
MKM
2007
Springer
15 years 5 months ago
Formal Representation of Mathematics in a Dependently Typed Set Theory
Abstract. We have formalized material from an introductory real analysis textbook in the proof assistant Scunak. Scunak is a system based on set theory encoded in a dependent type ...
Feryal Fulya Horozal, Chad E. Brown
CADE
2005
Springer
16 years 2 days ago
Reasoning in Extensional Type Theory with Equality
Abstract. We describe methods for automated theorem proving in extensional type theory with primitive equality. We discuss a complete, cut-free sequent calculus as well as a compac...
Chad E. Brown
CIE
2006
Springer
15 years 3 months ago
Forcing with Random Variables and Proof Complexity
or representation theory of groups), and even borrows abstract geometrical concepts like Euler characteristic or Grothendieck ring. However, the most stimulating for proof complexi...
Jan Krajícek