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» Logics of Kripke meta-models
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TACS
2001
Springer
14 years 1 months ago
Fixed-Point Logic with the Approximation Modality and Its Kripke Completeness
Abstract. We present two modal typing systems with the approximation modality, which has been proposed by the author to capture selfreferences involved in computer programs and the...
Hiroshi Nakano
AIML
2008
13 years 10 months ago
On axiomatising products of Kripke frames, part II
We generalise some results of [7, 5] and show that if L is an -modal logic (for some ordinal 3) such that (i) L contains the product logic K and (ii) the product of -many trees o...
Agi Kurucz
APAL
2010
115views more  APAL 2010»
13 years 8 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
CORR
2011
Springer
153views Education» more  CORR 2011»
13 years 3 months 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
CSL
2001
Springer
14 years 1 months 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...