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CSL
2005
Springer
15 years 3 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 3 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 3 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 3 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 3 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