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LFCS
2007
Springer
13 years 11 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 5 months ago
Proof Planning for First-Order Temporal Logic
Proof planning is an automated reasoning technique which improves proof search by raising it to a meta-level. In this paper we apply proof planning to First-Order Linear Temporal L...
Claudio Castellini, Alan Smaill
ICTL
1994
13 years 9 months ago
Completeness through Flatness in Two-Dimensional Temporal Logic
We introduce a temporal logic TAL and prove that it has several nice features. The formalism is a two-dimensional modal system in the sense that formulas of the language are evalua...
Yde Venema
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