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» Modal Logics for Brane Calculus
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CSL
2005
Springer
14 years 2 months ago
Distributed Control Flow with Classical Modal Logic
In previous work we presented a foundational calculus for spatially distributed computing based on intuitionistic modal logic. With the modalities P and Q we were able to capture t...
Tom Murphy VII, Karl Crary, Robert Harper
FSTTCS
2005
Springer
14 years 2 months ago
Fixpoint Logics on Hierarchical Structures
Hierarchical graph definitions allow a modular description of graphs using modules for the specification of repeated substructures. Beside this modularity, hierarchical graph de...
Stefan Göller, Markus Lohrey
CORR
2010
Springer
165views Education» more  CORR 2010»
13 years 9 months ago
Cut-Elimination and Proof Search for Bi-Intuitionistic Tense Logic
We consider an extension of bi-intuitionistic logic with the traditional modalities , , and from tense logic Kt. Proof theoretically, this extension is obtained simply by extendin...
Rajeev Goré, Linda Postniece, Alwen Tiu
LFCS
2007
Springer
14 years 3 months ago
The Intensional Lambda Calculus
We introduce a natural deduction formulation for the Logic of Proofs, a refinement of modal logic S4 in which the assertion PA is replaced by [[s]]A whose intended reading is “s...
Sergei N. Artëmov, Eduardo Bonelli
TABLEAUX
2009
Springer
14 years 3 months ago
Modular Sequent Systems for Modal Logic
We see cut-free sequent systems for the basic normal modal logics formed by any combination the axioms d, t, b, 4, 5. These systems are modular in the sense that each axiom has a c...
Kai Brünnler, Lutz Straßburger