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WOLLIC
2007
Springer
14 years 1 months ago
Computational Interpretations of Classical Linear Logic
We survey several computational interpretations of classical linear logic based on two-player one-move games. The moves of the games are higherorder functionals in the language of ...
Paulo Oliva
CIE
2008
Springer
13 years 9 months ago
Hybrid Functional Interpretations
We show how different functional interpretations can be combined via a multi-modal linear logic. A concrete hybrid of Kreisel's modified realizability and G
Mircea-Dan Hernest, Paulo Oliva
FUIN
2008
73views more  FUIN 2008»
13 years 7 months ago
On Krivine's Realizability Interpretation of Classical Second-Order Arithmetic
This article investigates Krivine's realizability interpretation of classical second-order arithmetic and its recent extension handling countable choice. We will start by pre...
Paulo Oliva, Thomas Streicher
MLQ
2010
99views more  MLQ 2010»
13 years 6 months ago
Proof interpretations with truth
This article systematically investigates so-called “truth variants” of several functional interpretations. We start by showing a close relation between two variants of modifi...
Jaime Gaspar, Paulo Oliva