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» A Logical Approach to Abstract Algebra
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JSYML
2011
89views more  JSYML 2011»
15 years 1 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»
15 years 11 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
15 years 11 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
15 years 11 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»
15 years 10 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