What Do You Mean by Decidability?

: capable of being decided specifically : capable of being decided as following or not following from the axioms of a logical system Was logic complete … ? And was it decidable, in the sense that there was a method that demonstrated the truth or falsity of every statement? —

What does it mean for a logic to be decidable?

In logic, a true/false decision problem is decidable if there exists an effective method for deriving the correct answer. Logical systems such as propositional logic are decidable if membership in their set of logically valid formulas (or theorems) can be effectively determined.

What is computability and Decidability?

If TM halts on valid Input.. that is if the problem is having a logic(Algorithm) then it is computable.. computability comes under REL. If TM halts on any input (valid or invalid).. It is a Halting TM. Then it is decidability.

Alexander Ross

Alexander Ross

Gaming, Esports & Interactive Media Writer

Alexander Ross has covered the video game industry for a decade, writing deep dives on game design, esports tournaments, VR developments, and gaming culture.