Research map / Learning theory and algorithms / Combinatorial and search optimization
Formula Synthesis in Propositional Dynamic Logic with Shuffle
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Allow shuffle in the formula grammar without restricting the transition system | SYNTHPDL|| · General finite transition systems | decidability / complexity: recursively-enumerable complete (and therefore undecidable) | Hurt |
| Restrict candidate formulas to PDL, without shuffle | SYNTHPDL|| · SYNTHPDL | complexity: EXPTIME-complete | Helped |
| Restrict the transition system to have finitely many paths | SYNTHPDL|| · Finitely-many-path transition systems | complexity: in 2-EXPTIME | Helped |
| Restrict the PDL grammar to be linear | SYNTHPDL · Linear PDL grammars | complexity: PSPACE-complete | Helped |
| Restrict the PDL grammar to be non-recursive | SYNTHPDL · Non-recursive PDL grammars | complexity: in PSPACE | Helped |
| Restrict the grammar to be non-recursive while allowing shuffle | SYNTHPDL|| · Non-recursive grammars | complexity: in EXPSPACE | Helped |
| Restrict the PDL grammar to be both linear and non-recursive | SYNTHPDL · Linear, non-recursive PDL grammars | complexity: NP-complete | Helped |
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