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LICS
2009
IEEE
15 years 7 months ago
Dinatural Terms in System F
We provide in this article two characterisation results, describing exactly which terms verify the dinaturality diagram, in Church-style system F and in Curry-style system F. The ...
Joachim De Lataillade
BIRTHDAY
2007
Springer
15 years 6 months ago
Superdeduction at Work
Superdeduction is a systematic way to extend a deduction system like the sequent calculus by new deduction rules computed from the user theory. We show how this could be done in a ...
Paul Brauner, Clément Houtmann, Claude Kirc...
116
Voted
MKM
2007
Springer
15 years 6 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
81
Voted
CIE
2010
Springer
15 years 5 months ago
The Peirce Translation and the Double Negation Shift
We develop applications of selection functions to proof theory and computational extraction of witnesses from proofs in classical analysis. The main novelty is a translation of cla...
Martín Hötzel Escardó, Paulo Ol...
CL
2000
Springer
15 years 5 months ago
Logic Program Synthesis in a Higher-Order Setting
We describe a system for the synthesis of logic programs from specifications based on higher-order logical descriptions of appropriate refinement operations. The system has been ...
David Lacey, Julian Richardson, Alan Smaill