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» On the logic of argumentation theory
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NSPW
2004
ACM
15 years 11 months ago
A qualitative framework for Shannon information theories
This paper presents a new paradigm for information theory which is a synthesis of Barwise-Seligman’s qualitative theory and Shannon’s quantitative theory. The new paradigm is ...
Gerard Allwein
AAAI
1998
15 years 7 months ago
Computing Intersections of Horn Theories for Reasoning with Models
We consider computational issues in combining logical knowledge bases represented by their characteristic models; in particular, we study taking their logical intersection. We pre...
Thomas Eiter, Toshihide Ibaraki, Kazuhisa Makino
CSL
2006
Springer
15 years 10 months ago
Decidable Theories of the Ordering of Natural Numbers with Unary Predicates
Abstract. Expansions of the natural number ordering by unary predicates are studied, using logics which in expressive power are located between first-order and monadic second-order...
Alexander Moshe Rabinovich, Wolfgang Thomas
IGPL
2011
15 years 1 months ago
On representable ordered residuated semigroups
We show that the equational theory of representable lattice-ordered residuated semigroups is not finitely axiomatizable. We apply this result to the problem of completeness of su...
Szabolcs Mikulás
EUSFLAT
2009
144views Fuzzy Logic» more  EUSFLAT 2009»
15 years 4 months ago
Number-free Mathematics Based on T-norm Fuzzy Logic
Abstract--The paper presents a form of rendering classical mathematical notions by formal theories over suitable t-norm fuzzy logics in such a way that references to real numbers a...
Libor Behounek