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» On Choice Principles and Fan Theorems
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JUCS
2010
110views more  JUCS 2010»
12 years 11 months ago
On Choice Principles and Fan Theorems
: Veldman proved that the contrapositive of countable binary choice is a theorem of full-fledged intuitionism, to which end he used a principle of continuous choice and the fan the...
Hannes Diener, Peter Schuster
CCA
2009
Springer
13 years 8 months ago
Effective Choice and Boundedness Principles in Computable Analysis
Abstract. In this paper we study a new approach to classify mathematical theorems according to their computational content. Basically, we are asking the question which theorems can...
Vasco Brattka, Guido Gherardi
JAIR
2011
103views more  JAIR 2011»
12 years 11 months ago
Automated Search for Impossibility Theorems in Social Choice Theory: Ranking Sets of Objects
We present a method for using standard techniques from satisfiability checking to automatically verify and discover theorems in an area of economic theory known as ranking sets o...
C. Geist, Ulrich Endriss
JSYML
2006
84views more  JSYML 2006»
13 years 4 months ago
Bounded modified realizability
We define a notion of realizability, based on a new assignment of formulas, which does not care for precise witnesses of existential statements, but only for bounds for them. The ...
Fernando Ferreira, Ana Nunes
LORI
2009
Springer
13 years 11 months ago
First-Order Logic Formalisation of Arrow's Theorem
Arrow’s Theorem is a central result in social choice theory. It states that, under certain natural conditions, it is impossible to aggregate the preferences of a finite set of i...
Umberto Grandi, Ulle Endriss