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AML
2006
49views more  AML 2006»
15 years 7 months ago
No Escape from Vardanyan's theorem
Vardanyan's Theorem states that the set of PA-valid principles of Quantified Modal Logic, QML, is complete 0 2. We generalize this result to a wide class of theories. The cru...
Albert Visser, Maartje de Jonge
CSL
2002
Springer
15 years 7 months ago
Designs, Disputes and Strategies
Ludics has been proposed by Girard as an abstract general approach to proof theory. We explain how its basic notions correspond to those of the "innocent strategy" apprao...
Claudia Faggian, Martin Hyland
LICS
2009
IEEE
16 years 1 months ago
The Structure of First-Order Causality
Game semantics describe the interactive behavior of proofs by interpreting formulas as games on which proofs induce strategies. Such a semantics is introduced here for capturing d...
Samuel Mimram
RTA
2005
Springer
16 years 21 days ago
The Algebra of Equality Proofs
Proofs of equalities may be built from assumptions using proof rules for reflexivity, symmetry, and transitivity. Reflexivity is an axiom proving x=x for any x; symmetry is a 1-p...
Aaron Stump, Li-Yang Tan
CTRS
1990
15 years 11 months ago
Completion Procedures as Semidecision Procedures
Completion procedures, originated from the seminal work of Knuth and Bendix, are wellknown as procedures for generating confluent rewrite systems, i.e. decision procedures for al ...
Maria Paola Bonacina, Jieh Hsiang