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JACM
2002
122views more  JACM 2002»
13 years 7 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer
PODS
2007
ACM
171views Database» more  PODS 2007»
14 years 7 months ago
Monadic datalog over finite structures with bounded treewidth
Bounded treewidth and Monadic Second Order (MSO) logic have proved to be key concepts in establishing fixed-parameter tractability results. Indeed, by Courcelle's Theorem we ...
Georg Gottlob, Reinhard Pichler, Fang Wei
ICALP
2004
Springer
14 years 21 days ago
On the Expressive Power of Monadic Least Fixed Point Logic
Monadic least fixed point logic MLFP is a natural logic whose expressiveness lies between that of first-order logic FO and monadic second-order logic MSO. In this paper we take ...
Nicole Schweikardt
TPHOL
2008
IEEE
14 years 1 months ago
Imperative Functional Programming with Isabelle/HOL
We introduce a lightweight approach for reasoning about programs involving imperative data structures using the proof assistant Isabelle/HOL. It is based on shallow embedding of pr...
Lukas Bulwahn, Alexander Krauss, Florian Haftmann,...
HASKELL
2005
ACM
14 years 27 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,...