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» The logic of proofs, semantically
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ICFP
2003
ACM
16 years 6 months ago
Representing reductions of NP-complete problems in logical frameworks: a case study
Under the widely believed conjecture P=NP, NP-complete problems cannot be solved exactly using efficient polynomial time algorithms. Furthermore, any instance of a NP-complete pro...
Carsten Schürmann, Jatin Shah
LFCS
2009
Springer
16 years 1 months ago
Fuzzy Description Logic Reasoning Using a Fixpoint Algorithm
We present FixIt(ALC), a novel procedure for deciding knowledge base (KB) satisfiability in the Fuzzy Description Logic (FDL) ALC. FixIt(ALC) does not search for tree-structured m...
Uwe Keller, Stijn Heymans
JACM
2002
122views more  JACM 2002»
15 years 6 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
JAR
2010
122views more  JAR 2010»
15 years 1 months ago
Partial and Nested Recursive Function Definitions in Higher-order Logic
Based on inductive definitions, we develop a tool that automates the definition of partial recursive functions in higher-order logic (HOL) and provides appropriate proof rules for ...
Alexander Krauss
TABLEAUX
2009
Springer
16 years 1 months ago
Generic Modal Cut Elimination Applied to Conditional Logics
We develop a general criterion for cut elimination in sequent calculi for propositional modal logics, which rests on absorption of cut, contraction, weakening and inversion by the ...
Dirk Pattinson, Lutz Schröder