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BSL
2004
100views more  BSL 2004»
15 years 6 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
CORR
2004
Springer
123views Education» more  CORR 2004»
15 years 6 months ago
Light types for polynomial time computation in lambda-calculus
We present a polymorphic type system for lambda calculus ensuring that welltyped programs can be executed in polynomial time: dual light affine logic (DLAL). DLAL has a simple typ...
Patrick Baillot, Kazushige Terui
LOGCOM
2002
105views more  LOGCOM 2002»
15 years 5 months ago
Labelled Tableaux for Nonmonotonic Reasoning: Cumulative Consequence Relations
In this paper we present a labelled proof method for computing nonmonotonic consequence relations in a conditional logic setting. The method exploits the strong connection between...
Alberto Artosi, Guido Governatori, Antonino Rotolo
TCS
2011
15 years 1 months ago
Realizability models and implicit complexity
New, simple, proofs of soundness (every representable function lies in a given complexity class) for Elementary Affine Logic, LFPL and Soft Affine Logic are presented. The proofs ...
Ugo Dal Lago, Martin Hofmann
JELIA
2010
Springer
15 years 4 months ago
Stable Belief Sets Revisited
Stable belief sets were introduced by R. Stalnaker in the early ’80s, as a formal representation of the epistemic state for an ideal introspective agent. This notion motivated M...
Costas D. Koutras, Yorgos Zikos