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» On a generalization of Stickelberger's Theorem
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APAL
2010
90views more  APAL 2010»
13 years 6 months ago
Canonical extensions for congruential logics with the deduction theorem
We introduce a new and general notion of canonical extension for algebras in the algebraic counterpart AlgS of any finitary and congruential logic S. This definition is logic-base...
Mai Gehrke, Ramon Jansana, Alessandra Palmigiano
FSTTCS
2008
Springer
13 years 7 months ago
Sound Lemma Generation for Proving Inductive Validity of Equations
ABSTRACT. In many automated methods for proving inductive theorems, finding a suitable generalization of a conjecture is a key for the success of proof attempts. On the other hand...
Takahito Aoto
DCG
2011
13 years 1 months ago
More Colourful Simplices
We show that any point in the convex hull of each of (d +1) sets of (d +1) points in general position in Rd is contained in at least (d + 1)2/2 simplices with one vertex from each ...
Antoine Deza, Tamon Stephen, Feng Xie
SAT
2004
Springer
101views Hardware» more  SAT 2004»
14 years 2 days ago
An Algebraic Approach to the Complexity of Generalized Conjunctive Queries
Kolaitis and Vardi pointed out that constraint satisfaction and conjunctive query containment are essentially the same problem. We study the Boolean conjunctive queries under a mor...
Michael Bauland, Philippe Chapdelaine, Nadia Creig...
CSR
2009
Springer
14 years 1 months ago
Variations on Muchnik's Conditional Complexity Theorem
Muchnik’s theorem about simple conditional descriptions states that for all strings a and b there exists a short program p transforming a to b that has the least possible length ...
Daniil Musatov, Andrei E. Romashchenko, Alexander ...