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» Combining Classical and Intuitionistic Implications
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CORR
2011
Springer
165views Education» more  CORR 2011»
12 years 11 months ago
From IF to BI: a tale of dependence and separation
We take a fresh look at the logics of informational dependence and independence of Hintikka and Sandu and V¨a¨an¨anen, and their compositional semantics due to Hodges. We show h...
Samson Abramsky, Jouko A. Väänänen
LOGCOM
2010
136views more  LOGCOM 2010»
13 years 2 months ago
Combining Derivations and Refutations for Cut-free Completeness in Bi-intuitionistic Logic
Bi-intuitionistic logic is the union of intuitionistic and dual intuitionistic logic, and was introduced by Rauszer as a Hilbert calculus with algebraic and Kripke semantics. But ...
Rajeev Goré, Linda Postniece
LICS
2012
IEEE
11 years 6 months ago
Countermodels from Sequent Calculi in Multi-Modal Logics
—A novel countermodel-producing decision procedure that applies to several multi-modal logics, both intuitionistic and classical, is presented. Based on backwards search in label...
Deepak Garg, Valerio Genovese, Sara Negri
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
LPAR
2004
Springer
13 years 9 months 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...