twa: add support for very-weak property
* spot/twa/twa.hh: Implement the property. * spot/parseaut/parseaut.yy, spot/twaalgos/hoa.cc: Add input and output for it. * spot/twaalgos/strength.cc, spot/twaalgos/strength.hh (is_very_weak_automaton): New function. * tests/core/alternating.test: Add a test for --check=strength on an alternating automaton. * tests/core/strength.test, tests/core/parseaut.test: Adjust expected output. * NEWS, doc/org/hoa.org, doc/org/concepts.org: Document it.
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@ -995,6 +995,7 @@ automaton, and that can be queried or set by algorithms:
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| =state_acc= | automaton should be considered has having state-based acceptance |
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| =inherently_weak= | accepting and rejecting cycles cannot be mixed in the same SCC |
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| =weak= | transitions of an SCC all belong to the same acceptance sets |
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| =very-weak= | weak automaton where all SCCs have size 1 |
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| =terminal= | automaton is weak, accepting SCCs are complete, accepting edges may not go to rejecting SCCs |
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| =deterministic= | there is at most one run *recognizing* a word, but not necessarily accepting it |
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| =unambiguous= | there is at most one run *accepting* a word (but it might be recognized several time) |
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