Relationship between NP-hard and undecidable problems

后端 未结 3 1970
深忆病人
深忆病人 2021-02-13 09:24

Am a bit confused about the relationship between undecidable problems and NP hard problems. Whether NP hard problems are a subset of undecidable problems, or are they just the s

3条回答
  •  迷失自我
    2021-02-13 09:38

    Undecidable problem e.g. Turing Halting Problem is NP-Hard only.

                       <---------NP Hard------>
    |------------|-------------||-------------|------------|--------> Computational Difficulty
    
    |<----P--->|
    
    |<----------NP---------->|
    
    |<-----------Exponential----------->|
    
    |<---------------R (Finite Time)---------------->|
    

    In this diagram, that small pipe shows overlapping of NP and NP-Hard and which shows NP-Completeness, i.e. set of those problems which are NP as well as NP-Hard.

    Undecidable problems are NP Hard problems which do not have solution and which are not in NP.

提交回复
热议问题