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» Models of set theory with definable ordinals
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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
2006
Springer
103views Education» more  CORR 2006»
13 years 7 months ago
Positional Determinacy of Games with Infinitely Many Priorities
We study two-player games of infinite duration that are played on finite or infinite game graphs. A winning strategy for such a game is positional if it only depends on the current...
Erich Grädel, Igor Walukiewicz
IGPL
2008
124views more  IGPL 2008»
13 years 7 months ago
The Ricean Objection: An Analogue of Rice's Theorem for First-order Theories
We propose here an extension of Rice's Theorem to first-order logic, proven by totally elementary means. If P is any property defined over the collection of all first-order t...
Igor Carboni Oliveira, Walter Alexandre Carnielli
ICLP
2009
Springer
14 years 8 months ago
Reducts of Propositional Theories, Satisfiability Relations, and Generalizations of Semantics of Logic Programs
Over the years, the stable-model semantics has gained a position of the correct (two-valued) interpretation of default negation in programs. However, for programs with aggregates (...
Miroslaw Truszczynski
ESOP
2008
Springer
13 years 9 months ago
Cover Algorithms and Their Combination
This paper defines the cover of a formula with respect to a set of variables V in theory T to be the strongest quantifier-free formula that is implied by V : in theory T. Cover e...
Sumit Gulwani, Madan Musuvathi