Nested Antichains for WS1S

  title={Nested Antichains for WS1S},
  author={Tom{\'a}s Fiedor and Luk{\'a}s Hol{\'i}k and Ondrej Leng{\'a}l and Tom{\'a}s Vojnar},
We propose a novel approach for coping with alternating quantification as the main source of nonelementary complexity of deciding WS1S formulae. Our approach is applicable within the state-ofthe-art automata-based WS1S decision procedure implemented, e.g. in MONA. The way in which the standard decision procedure processes quantifiers involves determinization, with its worst case exponential complexity, for every quantifier alternation in the prefix of a formula. Our algorithm avoids building… CONTINUE READING