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» Proving theorems by reuse
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JSC
2010
96views more  JSC 2010»
15 years 4 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
16 years 1 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»
16 years 20 days 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
15 years 10 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»
15 years 10 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