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» A Logical Approach to Abstract Algebra
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JSYML
2011
89views more  JSYML 2011»
13 years 5 months ago
Iterative differential Galois theory in positive characteristic: A model theoretic approach
Abstract. This paper introduces a natural extension of Kolchin’s differential Galois theory to positive characteristic iterative differential fields, generalizing to the non-li...
Javier Moreno
CAV
2004
Springer
159views Hardware» more  CAV 2004»
14 years 3 months ago
Static Program Analysis via 3-Valued Logic
This paper reviews the principles behind the paradigm of “abstract interpretation via § -valued logic,” discusses recent work to extend the approach, and summarizes ongoing re...
Thomas W. Reps, Shmuel Sagiv, Reinhard Wilhelm
NMR
2004
Springer
14 years 3 months ago
A probabilistic approach to default reasoning
A logic is defined which in addition to propositional calculus contains several types of probabilistic operators which are applied only to propositional formulas. For every s ∈...
Miodrag Raskovic, Zoran Ognjanovic, Zoran Markovic
FROCOS
2005
Springer
14 years 3 months ago
Connecting Many-Sorted Structures and Theories Through Adjoint Functions
In a previous paper, we have introduced a general approach for connecting two many-sorted theories through connection functions that behave like homomorphisms on the shared signatu...
Franz Baader, Silvio Ghilardi
ISSAC
1997
Springer
105views Mathematics» more  ISSAC 1997»
14 years 2 months ago
Guarded Expressions in Practice
Computer algebra systems typically drop some degenerate cases when evaluating expressions, e.g., x=x becomes 1 dropping the case x = 0. We claim that it is feasible in practice to...
Andreas Dolzmann, Thomas Sturm