Open

One Left-linear Semi-unification (1LLSU)

Input

A set of pairs of terms $S = \{(M_1, N_1), \ldots, (M_k, N_k)\}$ that is left linear.

Problem

Is $S$ semi-unifiable?

Definitions

See LLSU.

Status

Open (Henglein [1]).

Remarks

2LLSU is $\P$-complete [1]; see LLSU. Henglein conjectures that 1LLSU is $\P$-complete [1].

References

  1. F. Henglein (1990). Fast left-linear semi-unification.
  2. Greenlaw, R., Hoover, H. J., and Ruzzo, W. L. (1995). Limits to Parallel Computation: P-Completeness Theory. Oxford University Press. Problem B.3.2.