Linear-Bounded Automata

1 min read Updated Wed May 06 2026 17:34:51 GMT+0000 (Coordinated Universal Time)

Aka. LBA. A nondeterministic Turing machine with limited-length tape. Length bounded linearly by input length. Head cannot move beyond defined bounds. Lies between PDA and TM in computational power.

If LL is a context-sensitive language then there exists an LBA accepting LL.

If there exists a LBA accepting LΣL \subseteq \Sigma^* then there exists a CSG generating L{Λ}L - \{\Lambda\}.