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APAL
2010
129views more  APAL 2010»
13 years 5 months ago
Kripke models for classical logic
We introduce a notion of Kripke model for classical logic for which we constructively prove soundness and cut-free completeness. We discuss the meaning of the new notion and its a...
Danko Ilik, Gyesik Lee, Hugo Herbelin
MLQ
2007
90views more  MLQ 2007»
13 years 4 months ago
Kripke submodels and universal sentences
We define two notions for intuitionistic predicate logic: that of a submodel of a Kripke model, and that of a universal sentence. We then prove a corresponding preservation theor...
Ben Ellison, Jonathan Fleischmann, Dan McGinn, Wim...
CORR
2011
Springer
153views Education» more  CORR 2011»
13 years 3 days ago
Proof-Theoretic Soundness and Completeness
We give a calculus for reasoning about the first-order fragment of classical logic that is adequate for giving the truth conditions of intuitionistic Kripke frames, and outline a...
Robert Rothenberg
TABLEAUX
1999
Springer
13 years 9 months ago
Tableau Calculi for Hybrid Logics
Hybrid logics were proposed in 15 as a way of boosting the expressivity of modal logics via a novel mechanism: adding labels for states in Kripke models and viewing these labels as...
Miroslava Tzakova
CIE
2005
Springer
13 years 10 months ago
Kripke Models, Distributive Lattices, and Medvedev Degrees
We define a variant of the standard Kripke semantics for intuitionistic logic, motivated by the connection between constructive logic and the Medvedev lattice. We show that while...
Sebastiaan Terwijn