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CSR
2008
Springer
14 years 19 days ago
A Semantic Proof of Polytime Soundness of Light Affine Logic
We define a denotational semantics for Light Affine Logic (LAL) which has the property that denotations of functions are polynomial time computable by construction of the model. Th...
Ugo Dal Lago, Martin Hofmann
CSR
2008
Springer
14 years 19 days ago
A Logspace Algorithm for Partial 2-Tree Canonization
Abstract. We show that partial 2-tree canonization, and hence isomorphism testing for partial 2-trees, is in deterministic logspace. Our algorithm involves two steps: (a) We exploi...
Vikraman Arvind, Bireswar Das, Johannes Köble...
CSR
2008
Springer
14 years 19 days ago
Cracks in the Defenses: Scouting Out Approaches on Circuit Lower Bounds
Razborov and Rudich identified an imposing barrier that stands in the way of progress toward the goal of proving superpolynomial lower bounds on circuit size. Their work on "n...
Eric Allender
CSR
2008
Springer
13 years 11 months ago
A Triple Correspondence in Canonical Calculi: Strong Cut-Elimination, Coherence, and Non-deterministic Semantics
An (n, k)-ary quantifier is a generalized logical connective, binding k variables and connecting n formulas. Canonical systems with (n, k)-ary quantifiers form a natural class of G...
Arnon Avron, Anna Zamansky
CSR
2008
Springer
14 years 19 days ago
The Most General Conservation Law for a Cellular Automaton
Abstract. We study the group-valued and semigroup-valued conservation laws in cellular automata (CA). We provide examples to distinguish between semigroup-valued, group-valued and ...
Enrico Formenti, Jarkko Kari, Siamak Taati