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CSL
2010
Springer
13 years 9 months ago
Formal Theories for Linear Algebra
We introduce two-sorted theories in the style of [CN10] for the complexity classes L and DET, whose complete problems include determinants over Z2 and Z, respectively. We then desc...
Stephen Cook, Lila Fontes
FSS
2008
80views more  FSS 2008»
13 years 8 months ago
Relations in Fuzzy Class Theory: : Initial steps
This paper studies fuzzy relations in the graded framework of Fuzzy Class Theory (FCT). This includes (i) rephrasing existing work on graded properties of binary fuzzy relations i...
Libor Behounek, Ulrich Bodenhofer, Petr Cintula
JAPLL
2008
79views more  JAPLL 2008»
13 years 8 months ago
The seven virtues of simple type theory
Simple type theory, also known as higher-order logic, is a natural extension of first-order logic which is simple, elegant, highly expressive, and practical. This paper surveys th...
William M. Farmer
ACS
2004
13 years 8 months ago
Categorical and Combinatorial Aspects of Descent Theory
There is a construction which lies at the heart of descent theory. The combinatorial aspects of this paper concern the description of the construction in all dimensions. The descr...
Ross Street
CORR
2002
Springer
99views Education» more  CORR 2002»
13 years 8 months ago
Intersection Types and Lambda Theories
We illustrate the use of intersection types as a semantic tool for showing properties of the lattice of -theories. Relying on the notion of easy intersection type theory we succes...
Mariangiola Dezani-Ciancaglini, Stefania Lusin