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» Proof Complexity of Non-classical Logics
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APAL
2010
115views more  APAL 2010»
14 years 10 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
ESOP
2006
Springer
15 years 1 months ago
Step-Indexed Syntactic Logical Relations for Recursive and Quantified Types
We present a sound and complete proof technique, based on syntactic logical relations, for showing contextual equivalence of expressions in a -calculus with recursive types and imp...
Amal J. Ahmed
PLANX
2007
14 years 11 months ago
XPath Typing Using a Modal Logic with Converse for Finite Trees
We present an algorithm to solve XPath decision problems under regular tree type constraints and show its use to statically typecheck XPath queries. To this end, we prove the deci...
Pierre Genevès, Nabil Layaïda, Alan Sc...
CORR
2008
Springer
91views Education» more  CORR 2008»
14 years 10 months ago
Taming Modal Impredicativity: Superlazy Reduction
Pure, or type-free, Linear Logic proof nets are Turing complete once cut-elimination is5 considered as computation. We introduce modal impredicativity as a new form of impredicati...
Ugo Dal Lago, Luca Roversi, Luca Vercelli
ICALP
2009
Springer
15 years 10 months ago
High Complexity Tilings with Sparse Errors
Abstract. Tile sets and tilings of the plane appear in many topics ranging from logic (the Entscheidungsproblem) to physics (quasicrystals). The idea is to enforce some global prop...
Bruno Durand, Andrei E. Romashchenko, Alexander Sh...