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CSL
2005
Springer
15 years 11 months ago
Permutative Logic
Recent work establishes a direct link between the complexity of a linear logic proof in terms of the exchange rule and the topological complexity of its corresponding proof net, ex...
Jean-Marc Andreoli, Gabriele Pulcini, Paul Ruet
CSL
2005
Springer
15 years 11 months ago
Decidability of Type-Checking in the Calculus of Algebraic Constructions with Size Annotations
Since Val Tannen's pioneering work on the combination of simply-typed λ-calculus and rst-order rewriting [11], many authors have contributed to this subject by extending it ...
Frédéric Blanqui
CSL
2005
Springer
15 years 11 months ago
Towards a Typed Geometry of Interaction
Abstract. Girard’s Geometry of Interaction (GoI) develops a mathematical framework for modelling the dynamics of cut-elimination. We introduce a typed version of GoI, called Mult...
Esfandiar Haghverdi, Philip J. Scott
CSL
2005
Springer
15 years 11 months ago
A Propositional Proof System for Log Space
The proof system G∗ 0 of the quantified propositional calculus corresponds to NC1 , and G∗ 1 corresponds to P, but no formula-based proof system that corresponds log space rea...
Steven Perron
CSL
2005
Springer
15 years 11 months ago
Feasible Proofs of Matrix Properties with Csanky's Algorithm
We show that Csanky’s fast parallel algorithm for computing the characteristic polynomial of a matrix can be formalized in the logical theory LAP, and can be proved correct in LA...
Michael Soltys