We present a matrix characterization of logical validity in the multiplicative fragment of linear logic with exponentials. In the process we elaborate a methodology for proving matrix characterizations correct and complete. Our characterization provides a foundation for a matrix-based proof search procedure for MELL as well as for a procedure which translates the machine-found proofs back into the usual sequent calculus.
Slides of the conference presentation are available in compressed PS and PDF format. (Presentation: Heiko Mantel)