Choiceless Polynomial Time with Witnessed Symmetric Choice
Moritz Lichter,
Pascal Schweitzer
Abstract:We extend Choiceless Polynomial Time (CPT), the currently only remaining promising candidate in the quest for a logic capturing
Ptime
, so that this extended logic has the following property: for every class of structures for which isomorphism is definable, the logic automatically captures
Ptime
.
For the construction of this logic we extend CPT by a witnessed symmetric choice operator. This operator allows for choices from definable orbits. … Show more
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