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» A proof of completeness for continuous first-order logic
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LFCS
2007
Springer
13 years 10 months ago
Density Elimination and Rational Completeness for First-Order Logics
Density elimination by substitutions is introduced as a uniform method for removing applications of the Takeuti-Titani density rule from proofs in firstorder hypersequent calculi....
Agata Ciabattoni, George Metcalfe
CADE
2005
Springer
14 years 4 months ago
Reflecting Proofs in First-Order Logic with Equality
Our general goal is to provide better automation in interactive proof assistants such as Coq. We present an interpreter of proof traces in first-order multi-sorted logic with equal...
Evelyne Contejean, Pierre Corbineau
TPHOL
2009
IEEE
13 years 11 months ago
Extended First-Order Logic
ion and equality to base types but retains lambda abstractions and higher-order variables. We show that this fragment enjoys the characteristic properties of first-order logic: co...
Chad E. Brown, Gert Smolka
SEMWEB
2009
Springer
13 years 11 months ago
Axiomatic First-Order Probability
Most languages for the Semantic Web have their logical basis in some fragment of first-order logic. Thus, integrating first-order logic with probability is fundamental for represen...
Kathryn B. Laskey