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» Modal logic and invariance
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LPAR
2010
Springer
13 years 5 months ago
A Simple Class of Kripke-Style Models in Which Logic and Computation Have Equal Standing
We present a sound and complete model of lambda-calculus reductions based on structures inspired by modal logic (closely related to Kripke structures). Accordingly we can construct...
Michael Gabbay, Murdoch James Gabbay
TABLEAUX
2007
Springer
14 years 1 months ago
A Cut-Free Sequent Calculus for Bi-intuitionistic Logic
Bi-intuitionistic logic is the extension of intuitionistic logic with a connective dual to implication. Bi-intuitionistic logic was introduced by Rauszer as a Hilbert calculus with...
Linda Buisman, Rajeev Goré
ATAL
2010
Springer
13 years 8 months ago
A logical framework for prioritized goal change
Most previous logical accounts of goals do not deal with prioritized goals and goal dynamics properly. Many are restricted to achievement goals. In this paper, we develop a logica...
Shakil M. Khan, Yves Lespérance
LOGCOM
2008
110views more  LOGCOM 2008»
13 years 7 months ago
Sum and Product in Dynamic Epistemic Logic
The Sum-and-Product riddle was first published in [Fre69]. We provide an overview on the history of the dissemination of this riddle through the academic and puzzle-math community...
Hans P. van Ditmarsch, Ji Ruan, Rineke Verbrugge
LOGCOM
2010
136views more  LOGCOM 2010»
13 years 6 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