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CALCO
2009
Springer
172views Mathematics» more  CALCO 2009»
14 years 3 months ago
Coalgebraic Components in a Many-Sorted Microcosm
The microcosm principle, advocated by Baez and Dolan and formalized for Lawvere theories lately by three of the authors, has been applied to coalgebras in order to describe composi...
Ichiro Hasuo, Chris Heunen, Bart Jacobs, Ana Sokol...
ISSAC
1999
Springer
116views Mathematics» more  ISSAC 1999»
14 years 1 months ago
On the Genericity of the Modular Polynomial GCD Algorithm
In this paper we study the generic setting of the modular GCD algorithm. We develop the algorithm for multivariate polynomials over Euclidean domains which have a special kind of ...
Erich Kaltofen, Michael B. Monagan
ICFEM
1998
Springer
14 years 28 days ago
Defining Differentiation and Integration in Z
We show how familiar mathematical concepts from differential and integral calculus can be represented in the Z specification language. Digital computer systems involve hardware de...
Colin J. Fidge, Ian J. Hayes, Brendan P. Mahony
ISSAC
1997
Springer
125views Mathematics» more  ISSAC 1997»
14 years 26 days ago
A Modular Algorithm for Computing Greatest Common Right Divisors of Ore Polynomials
Abstract. This paper presents a modular algorithm for computing the greatest common right divisor (gcrd) of two univariate Ore polynomials over Z[t]. The subresultants of Ore polyn...
Ziming Li, István Nemes
ITP
2010
161views Mathematics» more  ITP 2010»
14 years 18 days ago
Separation Logic Adapted for Proofs by Rewriting
We present a formalisation of separation logic which, by avoiding the use of existential quantifiers, allows proofs that only use standard equational rewriting methods as found in...
Magnus O. Myreen