Light Dialectica revisited

We upgrade the light Dialectica interpretation [6] by adding two more light universal quantifiers, which are both semi-computational and semi-uniform and complement each other. An illustrative example is presented for the new light quantifiers and a new application is given for the older uniform quantifier. The realizability of new light negative formulations for the Axiom of Choice and for the Independence of Premises is explored in the new setting.

• Type: Journal
• Year: 2010
• Where: APAL
• Authors: Mircea-Dan Hernest, Trifon Trifonov
• Keywords: APAL 2010, Light Dialectica Interpretation, Light Negative Formulations, Light Universal Quantifiers