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» The logic of bunched implications
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LPAR
2004
Springer
14 years 6 days ago
The Inverse Method for the Logic of Bunched Implications
Abstract. The inverse method, due to Maslov, is a forward theorem proving method for cut-free sequent calculi that relies on the subformula property. The Logic of Bunched Implicati...
Kevin Donnelly, Tyler Gibson, Neel Krishnaswami, S...
BSL
1999
103views more  BSL 1999»
13 years 6 months ago
The logic of bunched implications
We consider a classical (propositional) version, CBI, of O'Hearn and Pym's logic of bunched implications (BI) from a model- and prooftheoretic perspective. We present a c...
Peter W. O'Hearn, David J. Pym
SAS
2007
Springer
140views Formal Methods» more  SAS 2007»
14 years 29 days ago
Formalised Inductive Reasoning in the Logic of Bunched Implications
We present a framework for inductive definitions in the logic of bunched implications, BI, and formulate two sequent calculus proof systems for inductive reasoning in this framewo...
James Brotherston
CORR
2010
Springer
140views Education» more  CORR 2010»
13 years 7 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
CSL
2007
Springer
14 years 1 months ago
A Games Model of Bunched Implications
A game semantics of the (−−∗, →)-fragment of the logic of bunched implications, BI, is presented. To date, categorical models of BI have been restricted to two kinds: funct...
Guy McCusker, David J. Pym