%0 Journal Article %T A New Proof of P-time Completeness of Linear Lambda Calculus %A Satoshi Matsuoka %J Computer Science %D 2013 %I arXiv %X We give a new proof of P-time completeness of Linear Lambda Calculus, which was originally given by H. Mairson in 2003. Our proof uses an essentially different Boolean type from the type Mairson used. Moreover the correctness of our proof can be machined-checked using an implementation of Standard ML. %U http://arxiv.org/abs/1301.2763v1