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» Strong logics of first and second order
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TLCA
2009
Springer
13 years 11 months ago
Some Observations on the Proof Theory of Second Order Propositional Multiplicative Linear Logic
Abstract. We investigate the question of what constitutes a proof when quantifiers and multiplicative units are both present. On the technical level this paper provides two new as...
Lutz Straßburger
CORR
2006
Springer
99views Education» more  CORR 2006»
13 years 4 months ago
Logical settings for concept learning from incomplete examples in First Order Logic
We investigate here concept learning from incomplete examples. Our first purpose is to discuss to what extent logical learning settings have to be modified in order to cope with da...
Dominique Bouthinon, Henry Soldano, Véroniq...
FUIN
2008
73views more  FUIN 2008»
13 years 4 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
FORTE
2009
13 years 2 months ago
Using First-Order Logic to Reason about Submodule Construction
We consider the following problem: For a system consisting of two components, the behavior of one component is known as well as the desired global behavior. What should be the beha...
Gregor von Bochmann
AML
2002
112views more  AML 2002»
13 years 4 months ago
Strong normalization of a symmetric lambda calculus for second-order classical logic
Abstract We extend Barbanera and Berardi's symmetric lambda calculus [2] to second order classical propositional logic and prove its strong normalization.
Yoriyuki Yamagata