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90
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ISSAC
2005
Springer
77views Mathematics» more  ISSAC 2005»
15 years 9 months ago
Picard--Vessiot extensions for linear functional systems
Picard-Vessiot extensions for ordinary differential and difference equations are well known and are at the core of the associated Galois theories. In this paper, we construct fu...
Manuel Bronstein, Ziming Li, Min Wu
113
Voted
MKM
2004
Springer
15 years 9 months ago
Predicate Logic with Sequence Variables and Sequence Function Symbols
We describe an extension of first-order logic with sequence variables and sequence functions. We define syntax, semantics and inference system for the extension so that Completen...
Temur Kutsia, Bruno Buchberger
AISC
2000
Springer
15 years 8 months ago
Reasoning about the Elementary Functions of Complex Analysis
There are many problems with the simplification of elementary functions, particularly over the complex plane. Systems tend to make “howlers” or not to simplify enough. In thi...
Robert M. Corless, James H. Davenport, David J. Je...
99
Voted
MPC
2000
Springer
105views Mathematics» more  MPC 2000»
15 years 7 months ago
The Universal Resolving Algorithm: Inverse Computation in a Functional Language
Abstract. We present an algorithm for inverse computation in a rstorder functional language based on the notion of a perfect process tree. The Universal Resolving Algorithm (URA) i...
Sergei M. Abramov, Robert Glück
127
Voted
CDES
2008
130views Hardware» more  CDES 2008»
15 years 5 months ago
A Quantum Algorithm for Finding Minimum Exclusive-Or Expressions for Multi-Output Incompletely Specified Boolean Functions
This paper presents a quantum algorithm for finding minimal ESCT (Exclusive-or Sum of Complex Terms) or ESOP (Exclusive-or Sum Of Products) expressions for any arbitrary multi-outp...
Marinos Sampson, Dimitrios Voudouris, George K. Pa...