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» Proving theorems by reuse
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JSC
2010
96views more  JSC 2010»
13 years 8 months ago
On a generalization of Stickelberger's Theorem
We prove two versions of Stickelberger’s Theorem for positive dimensions and use them to compute the connected and irreducible components of a complex algebraic variety. If the ...
Peter Scheiblechner
STACS
2010
Springer
14 years 4 months ago
Revisiting the Rice Theorem of Cellular Automata
Abstract. A cellular automaton is a parallel synchronous computing model, which consists in a juxtaposition of finite automata whose state evolves according to that of their neigh...
Pierre Guillon, Gaétan Richard
APPROX
2009
Springer
107views Algorithms» more  APPROX 2009»
14 years 4 months ago
Hierarchy Theorems for Property Testing
Referring to the query complexity of property testing, we prove the existence of a rich hierarchy of corresponding complexity classes. That is, for any relevant function q, we prov...
Oded Goldreich, Michael Krivelevich, Ilan Newman, ...
TPHOL
1999
IEEE
14 years 2 months ago
Isar - A Generic Interpretative Approach to Readable Formal Proof Documents
Abstract. We present a generic approach to readable formal proof documents, called Intelligible semi-automated reasoning (Isar). It addresses the major problem of existing interact...
Markus Wenzel
ITP
2010
140views Mathematics» more  ITP 2010»
14 years 1 months ago
Case-Analysis for Rippling and Inductive Proof
Abstract. Rippling is a heuristic used to guide rewriting and is typically used for inductive theorem proving. We introduce a method to support case-analysis within rippling. Like ...
Moa Johansson, Lucas Dixon, Alan Bundy