Skip to main content
NL-completeness
Source Link
Denis
  • 9.4k
  • 32
  • 59

The complexity of deciding equality of regular languages (and many other problems on regular languages) varies a lot depending on the system of representation:

  • P for deterministic automaton (more precisely NL-complete)

  • PSPACE-complete for nondeterministic automaton or regular expression

  • EXPSPACE-complete for regular expression with squaring operation.

  • NONELEMENTARY for Monadic Second-Order (MSO) formula.

The complexity of deciding equality of regular languages (and many other problems on regular languages) varies a lot depending on the system of representation:

  • P for deterministic automaton

  • PSPACE-complete for nondeterministic automaton or regular expression

  • EXPSPACE-complete for regular expression with squaring operation.

  • NONELEMENTARY for Monadic Second-Order (MSO) formula.

The complexity of deciding equality of regular languages (and many other problems on regular languages) varies a lot depending on the system of representation:

  • P for deterministic automaton (more precisely NL-complete)

  • PSPACE-complete for nondeterministic automaton or regular expression

  • EXPSPACE-complete for regular expression with squaring operation.

  • NONELEMENTARY for Monadic Second-Order (MSO) formula.

Source Link
Denis
  • 9.4k
  • 32
  • 59

The complexity of deciding equality of regular languages (and many other problems on regular languages) varies a lot depending on the system of representation:

  • P for deterministic automaton

  • PSPACE-complete for nondeterministic automaton or regular expression

  • EXPSPACE-complete for regular expression with squaring operation.

  • NONELEMENTARY for Monadic Second-Order (MSO) formula.