Can we use suppressor tRNAs to encode logical operators (suppressor suppressor logic, SSL)?

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Suppressor Suppressor Logic (SSL)

Design Group A

The designs in this group are somewhat simpler than those in Group B, and use frameshift suppressors, although termination suppressors could be substituted.

SSLA OR.GIF
SSLA NOR.GIF
SSLA AND.GIF
SSLA NAND.GIF
SSLA XOR.GIF
SSLA NXOR.GIF

Design Group B

This group of designs is a little more complicated, and uses termination suppressors, although frameshift suppressors could be substituted.

Based on Amber (UAG) and Opal (UGA) suppressor tRNAs

Used in Anderson et al. to encode an AND gate

PoPS inputs A or B control Amber or Opal suppressor production
Repressors and/or activators control PoPS output
Basic logic circuits produced

SSL OR.GIF
SSL NOR.GIF
SSL AND.GIF
SSL NAND.GIF
SSL XOR.GIF
SSL NXOR.GIF