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TACS
2001
Springer
13 years 9 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
SLOGICA
2008
126views more  SLOGICA 2008»
13 years 4 months ago
On the Proof Theory of the Modal mu-Calculus
We study the proof-theoretic relationship between two deductive systems for the modal mu-calculus. First we recall an infinitary system which contains an omega rule allowing to de...
Thomas Studer
LOGCOM
2006
90views more  LOGCOM 2006»
13 years 4 months ago
Transfer Results for Hybrid Logic. Part I: The Case Without Satisfaction Operators
For every Kripke complete modal logic L we define its hybrid companion LH . For a reasonable class of logics, we present a satisfiability-preserving translation from LH to L. We p...
Nick Bezhanishvili, Balder ten Cate
STACS
2009
Springer
13 years 11 months ago
Strong Completeness of Coalgebraic Modal Logics
ABSTRACT. Canonical models are of central importance in modal logic, in particular as they witness strong completeness and hence compactness. While the canonical model construction...
Lutz Schröder, Dirk Pattinson
LOGCOM
2010
136views more  LOGCOM 2010»
13 years 3 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