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» A Logical Approach to Abstract Algebra
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CIE
2005
Springer
13 years 11 months ago
A Logical Approach to Abstract Algebra
L APPROACH TO ABSTRACT ALGEBRA THIERRY COQUAND AND HENRI LOMBARDI Recent work in constructive mathematics show that Hilbert’s program works rge part of abstract algebra. Using in...
Thierry Coquand
AMAI
2006
Springer
13 years 5 months ago
Strong and uniform equivalence of nonmonotonic theories - an algebraic approach
We show that the concepts of strong and uniform equivalence of logic programs eneralized to an abstract algebraic setting of operators on complete lattices. Our results imply char...
Miroslaw Truszczynski
WOLLIC
2009
Springer
14 years 3 days ago
Algebraic Valuations as Behavioral Logical Matrices
Abstract. The newly developed behavioral approach to the algebraization of logics extends the applicability of the methods of algebraic logic to a wider range of logical systems, n...
Carlos Caleiro, Ricardo Gonçalves
ACS
2002
13 years 5 months ago
Categorical Abstract Algebraic Logic: Algebraizable Institutions
cal Abstract Algebraic Logic: Algebraizable Institutions To Don Pigozzi this work is dedicated GEORGE VOUTSADAKIS Department of Mathematics, Iowa State University, Ames, IA 50011 U...
George Voutsadakis
AMAST
2010
Springer
13 years 17 days ago
Learning in a Changing World, an Algebraic Modal Logical Approach
Abstract. We develop an algebraic modal logic that combines epistemic and dynamic modalities with a view to modelling information acquisition (learning) by automated agents in a ch...
Prakash Panangaden, Mehrnoosh Sadrzadeh