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» The Algebra of Equality Proofs
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EUROCAST
2005
Springer
97views Hardware» more  EUROCAST 2005»
14 years 1 months ago
Extracting Computer Algebra Programs from Statements
In this paper, an approach to synthesize correct programs from specifications is presented. The idea is to extract code from definitions appearing in statements which have been me...
Jesús Aransay, Clemens Ballarin, Julio Rubi...
TPHOL
1999
IEEE
14 years 5 days ago
Universal Algebra in Type Theory
We present a development of Universal Algebra inside Type Theory, formalized using the proof assistant Coq. We define the notion of a signature and of an algebra over a signature. ...
Venanzio Capretta
CPC
1998
100views more  CPC 1998»
13 years 7 months ago
An Algebraic Proof of Deuber's Theorem
Deuber’s Theorem says that, given any m, p, c, r in N, there exist n, q, µ in N such that whenever an (n, q, cµ )-set is r-coloured, there is a monochrome (m, p, c)-set. This t...
Neil Hindman, Dona Strauss
DLT
2008
13 years 9 months ago
Derivation Tree Analysis for Accelerated Fixed-Point Computation
We show that for several classes of idempotent semirings the least fixed-point of a polynomial system of equations X = f(X) is equal to the least fixed-point of a linear system obt...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...
JAR
1998
134views more  JAR 1998»
13 years 7 months ago
Integrating Computer Algebra into Proof Planning
Mechanized reasoning systems and computer algebra systems have different objectives. Their integration is highly desirable, since formal proofs often involve both of the two differ...
Manfred Kerber, Michael Kohlhase, Volker Sorge