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FOCS
2005
IEEE
14 years 1 months ago
Algorithmic Graph Minor Theory: Decomposition, Approximation, and Coloring
At the core of the seminal Graph Minor Theory of Robertson and Seymour is a powerful structural theorem capturing the structure of graphs excluding a fixed minor. This result is ...
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Ken-ic...
LICS
2007
IEEE
14 years 1 months ago
A Dependent Set Theory
Set theories are traditionally based on first-order logic. We show that in a constructive setting, basing a set theory on a dependent logic yields many benefits. To this end, we...
Wojciech Moczydlowski
ICFP
2005
ACM
14 years 7 months ago
Translating specifications from nominal logic to CIC with the theory of contexts
We study the relation between Nominal Logic and the Theory of Contexts, two approaches for specifying and reasoning about datatypes with binders. We consider a natural-deduction s...
Marino Miculan, Ivan Scagnetto, Furio Honsell
SCP
2011
255views Communications» more  SCP 2011»
13 years 2 months ago
Map fusion for nested datatypes in intensional type theory
A definitional extension LNGMIt of the Calculus of Inductive Constructions (CIC), that underlies the proof assistant Coq, is presented that allows also to program with nested dat...
Ralph Matthes
LICS
2008
IEEE
14 years 1 months ago
Typed Normal Form Bisimulation for Parametric Polymorphism
This paper presents a new bisimulation theory for parametric polymorphism which enables straightforward coinductive proofs of program equivalences involving existential types. The...
Søren B. Lassen, Paul Blain Levy