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JAR
1998
134views more  JAR 1998»
13 years 9 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
CSL
2005
Springer
14 years 3 months ago
Feasible Proofs of Matrix Properties with Csanky's Algorithm
We show that Csanky’s fast parallel algorithm for computing the characteristic polynomial of a matrix can be formalized in the logical theory LAP, and can be proved correct in LA...
Michael Soltys
LICS
2007
IEEE
14 years 4 months ago
Tractability and learnability arising from algebras with few subpowers
A k-edge operation ϕ on a finite set A is a k + 1-ary operation that satisfies the identities ϕ(x, x, y, . . . , y) ≈ ϕ(x, y, x, y, . . . , y) ≈ y and ϕ(y, y, y, x, y, ....
Pawel M. Idziak, Petar Markovic, Ralph McKenzie, M...
CSL
2010
Springer
13 years 11 months ago
Ordered Sets in the Calculus of Data Structures
Our goal is to identify families of relations that are useful for reasoning about software. We describe such families using decidable quantifier-free classes of logical constraints...
Viktor Kuncak, Ruzica Piskac, Philippe Suter