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» Classical BI: Its Semantics and Proof Theory
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CORR
2010
Springer
140views Education» more  CORR 2010»
13 years 4 months ago
Classical BI: Its Semantics and Proof Theory
We present Classical BI (CBI), a new addition to the family of bunched logics which originates in O'Hearn and Pym's logic of bunched implications BI. CBI differs from exi...
James Brotherston, Cristiano Calcagno
TLCA
2005
Springer
13 years 9 months ago
Naming Proofs in Classical Propositional Logic
Abstract. We present a theory of proof denotations in classical propologic. The abstract definition is in terms of a semiring of weights, and two concrete instances are explored. ...
François Lamarche, Lutz Straßburger
ENTCS
2010
91views more  ENTCS 2010»
13 years 4 months ago
A Unified Display Proof Theory for Bunched Logic
We formulate a unified display calculus proof theory for the four principal varieties of bunched logic by combining display calculi for their component logics. Our calculi satisfy...
James Brotherston
TACS
1994
Springer
13 years 8 months ago
An Operational Approach to Combining Classical Set Theory and Functional Programming Languages
Abstract. We have designed a programming logic based on an integration of functional programming languages with classical set theory. The logic merges a classical view of equality ...
Douglas J. Howe, Scott D. Stoller
LPNMR
2007
Springer
13 years 10 months ago
Yet Another Proof of the Strong Equivalence Between Propositional Theories and Logic Programs
Recently, the stable model semantics was extended to the syntax of arbitrary propositional formulas, which are beyond the traditional rule form. Cabalar and Ferraris, as well as Ca...
Joohyung Lee, Ravi Palla