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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
BSL
2004
100views more  BSL 2004»
13 years 7 months ago
Forcing in proof theory
Paul Cohen's method of forcing, together with Saul Kripke's related semantics for modal and intuitionistic logic, has had profound effects on a number of branches of mat...
Jeremy Avigad
CSL
2001
Springer
14 years 3 days ago
Categorical and Kripke Semantics for Constructive S4 Modal Logic
Abstract. We consider two systems of constructive modal logic which are computationally motivated. Their modalities admit several computational interpretations and are used to capt...
Natasha Alechina, Michael Mendler, Valeria de Paiv...
LPAR
2005
Springer
14 years 1 months ago
On Interpolation in Existence Logics
In [2] Gentzen calculi for intuitionistic logic extended with an existence predicate were introduced. Such logics were first introduced by Dana Scott, who provided a proof system ...
Matthias Baaz, Rosalie Iemhoff
APAL
2010
115views more  APAL 2010»
13 years 7 months ago
Kripke semantics for provability logic GLP
A well-known polymodal provability logic GLP is complete w.r.t. the arithmetical semantics where modalities correspond to reflection principles of restricted logical complexity in...
Lev D. Beklemishev