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ACS
2005
14 years 11 months ago
Categorical Structures Enriched in a Quantaloid: Orders and Ideals over a Base Quantaloid
Applying (enriched) categorical structures we define the notion of ordered sheaf on a quantaloid Q, which we call `Q-order'. This requires a theory of semicategories enriched ...
Isar Stubbe
TPHOL
2005
IEEE
15 years 5 months ago
A Design Structure for Higher Order Quotients
The quotient operation is a standard feature of set theory, where a set is partitioned into subsets by an equivalence relation. We reinterpret this idea for higher order logic, whe...
Peter V. Homeier
IJCAI
1993
15 years 1 months ago
Second Order Measures for Uncertainty Processing
Uncertainty processing methods are analysed from the viewpoint of their sensitivity to small variations of certainty factors. The analysis makes use of the algebraic theory which ...
Zdenek Zdráhal
CSL
2007
Springer
15 years 3 months ago
MSO on the Infinite Binary Tree: Choice and Order
We give a new proof showing that it is not possible to define in monadic second-order logic (MSO) a choice function on the infinite binary tree. This result was first obtained by G...
Arnaud Carayol, Christof Löding
AI
2005
Springer
14 years 11 months ago
First order LUB approximations: characterization and algorithms
One of the major approaches to approximation of logical theories is the upper and lower bounds approach introduced in (Selman and Kautz, 1991, 1996). In this paper, we address the...
Alvaro del Val