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HASKELL
2005
ACM
14 years 8 days ago
Verifying haskell programs using constructive type theory
Proof assistants based on dependent type theory are closely related to functional programming languages, and so it is tempting to use them to prove the correctness of functional p...
Andreas Abel, Marcin Benke, Ana Bove, John Hughes,...
JCT
2008
109views more  JCT 2008»
13 years 6 months ago
Decomposing Berge graphs and detecting balanced skew partitions
A hole in a graph is an induced cycle on at least four vertices. A graph is Berge if it has no odd hole and if its complement has no odd hole. In 2002, Chudnovsky, Robertson, Seym...
Nicolas Trotignon
STOC
2006
ACM
138views Algorithms» more  STOC 2006»
14 years 7 months ago
The PCP theorem by gap amplification
The PCP theorem [3, 2] says that every language in NP has a witness format that can be checked probabilistically by reading only a constant number of bits from the proof. The cele...
Irit Dinur
APAL
2005
89views more  APAL 2005»
13 years 6 months ago
Softness of hypercoherences and MALL full completeness
We prove a full completeness theorem for multiplicative-additive linear logic (i.e. MALL) using a double gluing construction applied to Ehrhard's -autonomous category of hype...
Richard Blute, Masahiro Hamano, Philip J. Scott
ADG
2006
Springer
191views Mathematics» more  ADG 2006»
13 years 10 months ago
Automatic Verification of Regular Constructions in Dynamic Geometry Systems
We present an application of an automatic theorem proving (ATP) in the verification of constructions made with dynamic geometry software (DGS). Given a specification language for g...
Predrag Janicic, Pedro Quaresma