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» On theorem proving in annotated logics
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DLOG
2010
13 years 6 months ago
Paraconsistent Description Logics Revisited
Abstract. Inconsistency handling is of growing importance in Knowledge Representation since inconsistencies may frequently occur in an open world. Paraconsistent (or inconsistency-...
Norihiro Kamide
SYNTHESE
2008
88views more  SYNTHESE 2008»
13 years 8 months ago
Interpolation in computing science: the semantics of modularization
The Interpolation Theorem, first formulated and proved by W. Craig fifty years ago for predicate logic, has been extended to many other logical frameworks and is being applied in s...
Gerard R. Renardel de Lavalette
ENTCS
2010
130views more  ENTCS 2010»
13 years 6 months ago
Structural Operational Semantics and Modal Logic, Revisited
A previously introduced combination of the bialgebraic approach to structural operational semantics with aic modal logic is re-examined and improved in some aspects. Firstly, a mo...
Bartek Klin
COMBINATORICS
2004
48views more  COMBINATORICS 2004»
13 years 8 months ago
Partition Identities I: Sandwich Theorems and Logical 0-1 Laws
The Sandwich Theorems proved in this paper give a new method to show that the partition function a(n) of a partition identity A(x) := n=0 a(n)xn = n=1 (1 - xn )-p(n) satisfies t...
Jason P. Bell, Stanley Burris
DAM
2007
83views more  DAM 2007»
13 years 8 months ago
The proof theoretic strength of the Steinitz exchange theorem
We show that the logical theory QLA proves the Cayley–Hamilton theorem from the Steinitz exchange theorem together with a strengthening of the linear independence principle. Sin...
Michael Soltys