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» On the logic of argumentation theory
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BSL
2002
113views more  BSL 2002»
15 years 6 months ago
Types in logic and mathematics before 1940
Abstract. In this article, we study the prehistory of type theory up to 1910 and its development between Russell and Whitehead's Principia Mathematica ([71], 1910
Fairouz Kamareddine, Twan Laan, Rob Nederpelt
ENTCS
2010
105views more  ENTCS 2010»
15 years 6 months ago
From Focalization of Logic to the Logic of Focalization
Focalization property is a deep outcome of linear logic proof theory, putting to the foreground the role of polarity in logic. It resulted an important advances in various fields, ...
Michele Basaldella, Alexis Saurin, Kazushige Terui
OOPSLA
2009
Springer
16 years 24 days ago
Self type constructors
Bruce and Foster proposed the language LOOJ, an extension of Java with the notion of MyType, which represents the type of a self reference and changes its meaning along with inher...
Chieri Saito, Atsushi Igarashi
ICLP
2003
Springer
15 years 11 months ago
A Tutorial on Proof Theoretic Foundations of Logic Programming
Abstract logic programming is about designing logic programming languages via the proof theoretic notion of uniform provability. It allows the design of purely logical, very expres...
Paola Bruscoli, Alessio Guglielmi
FROCOS
2007
Springer
16 years 13 days ago
Noetherianity and Combination Problems
In abstract algebra, a structure is said to be Noetherian if it does not admit infinite strictly ascending chains of congruences. In this paper, we adapt this notion to first-ord...
Silvio Ghilardi, Enrica Nicolini, Silvio Ranise, D...