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» On Interpolation in Existence Logics
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SYNTHESE
2008
88views more  SYNTHESE 2008»
13 years 7 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
LOGCOM
2008
94views more  LOGCOM 2008»
13 years 7 months ago
Preservation of Interpolation Features by Fibring
Fibring is a metalogical constructor that permits to combine different logics by operating on their deductive systems under certain natural restrictions, as for example that the t...
Walter Alexandre Carnielli, João Rasga, Cri...
AISC
2008
Springer
13 years 9 months ago
Mechanising a Proof of Craig's Interpolation Theorem for Intuitionistic Logic in Nominal Isabelle
Craig's Interpolation Theorem is an important meta-theoretical result for several logics. Here we describe a formalisation of the result for first-order intuitionistic logic w...
Peter Chapman, James McKinna, Christian Urban
JSYML
2006
98views more  JSYML 2006»
13 years 7 months ago
On weak and strong interpolation in algebraic logics
We show that there is a restriction, or modification of the finite-variable fragments of First Order Logic in which a weak form of Craig's Interpolation Theorem holds but a s...
Saharon Shelah, Gábor Sági
IGPL
2011
12 years 10 months ago
Interpolation and FEP for logics of residuated algebras
A residuated algebra (RA) is a generalization of a residuated groupoid; instead of one basic binary operation · with residual operations \, /, it admits finitely many basic oper...
Wojciech Buszkowski