@Article{ kreitz.ea:matrix:2004, abstract = { We develop a matrix characterization of logical validity in MELL, the multiplicative fragment of propositional linear logic with exponentials and constants. To prove the correctness and completeness of our characterization, we use a purely proof theoretical justification rather than semantical arguments. Our characterization is based on concepts similar to matrix characterizations proposed by Wallen for other non-classical logics. It provides a foundation for developing proof search procedures for MELL by adopting techniques that are based on these concepts and also makes it possible to adopt algorithms that translate the machine-found proofs back into the usual sequent calculus for MELL.}, author = {Christoph Kreitz and Heiko Mantel}, copyright = {Kluwer}, journal = {Journal of Automated Reasoning}, language = {USenglish}, pages = {121--166}, title = {A Matrix Characterization for Multiplicative Exponential Linear Logic}, volume = 32, year = 2004, user = {hmantel} }