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» A Combinatorial Theorem for Trees
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ENTCS
2006
143views more  ENTCS 2006»
15 years 1 months ago
Hiproofs: A Hierarchical Notion of Proof Tree
Motivated by the concerns of theorem-proving, we generalise the notion of proof tree to that of hierarchical proof tree. Hierarchical trees extend ordinary trees by adding partial...
Ewen Denney, John Power, Konstantinos Tourlas
ENDM
2008
80views more  ENDM 2008»
15 years 1 months ago
Polytopal complexes: maps, chain complexes and... necklaces
The notion of polytopal map between two polytopal complexes is defined. Surprisingly, this definition is quite simple and extends naturally those of simplicial and cubical maps. It...
Frédéric Meunier
STOC
2007
ACM
108views Algorithms» more  STOC 2007»
16 years 2 months ago
Combinatorial complexity in O-minimal geometry
In this paper we prove tight bounds on the combinatorial and topological complexity of sets defined in terms of n definable sets belonging to some fixed definable family of sets i...
Saugata Basu
DAC
2001
ACM
16 years 2 months ago
Watermarking of SAT using Combinatorial Isolation Lemmas
Watermarking of hardware and software designs is an effective mechanism for intellectual property protection (IPP). Two important criteria for watermarking schemes are credibility...
Rupak Majumdar, Jennifer L. Wong
FOCS
2004
IEEE
15 years 5 months ago
Assignment Testers: Towards a Combinatorial Proof of the PCP-Theorem
In this work we look back into the proof of the PCP Theorem, with the goal of finding new proofs that are "more combinatorial" and arguably simpler. For that we introduc...
Irit Dinur, Omer Reingold