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EMO
2003
Springer
86views Optimization» more  EMO 2003»
13 years 10 months ago
No Free Lunch and Free Leftovers Theorems for Multiobjective Optimisation Problems
Abstract. The classic NFL theorems are invariably cast in terms of single objective optimization problems. We confirm that the classic NFL theorem holds for general multiobjective ...
David Corne, Joshua D. Knowles
FUIN
2006
77views more  FUIN 2006»
13 years 4 months ago
The Impact of seq on Free Theorems-Based Program Transformations
Parametric polymorphism constrains the behavior of pure functional programs in a way that allows the derivation of interesting theorems about them solely from their types, i.e., vi...
Patricia Johann, Janis Voigtländer
ENTCS
2007
109views more  ENTCS 2007»
13 years 4 months ago
Free Theorems and Runtime Type Representations
’s abstraction theorem [21], often referred to as the parametricity theorem, can be used to derive properties about functional programs solely from their types. Unfortunately, i...
Dimitrios Vytiniotis, Stephanie Weirich
STACS
2001
Springer
13 years 9 months ago
A Logical Approach to Decidability of Hierarchies of Regular Star-Free Languages
We propose a new, logical, approach to the decidability problem for the Straubing and Brzozowski hierarchies based on the preservation theorems from model theory, on a theorem of ...
Victor L. Selivanov
CSL
2010
Springer
13 years 6 months ago
A Formalisation of the Normal Forms of Context-Free Grammars in HOL4
We describe the formalisation of the normal forms of context-free grammars (CFGs) using the HOL4 theorem prover. These straightforward pen and paper proofs easily understood from t...
Aditi Barthwal, Michael Norrish