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The complexity class PCP c(n), s(n) [r(n), q(n)] is the class of all decision problems having probabilistically checkable proof systems over binary alphabet of completeness c(n) and soundness s(n), where the verifier is nonadaptive, runs in polynomial time, and it has randomness complexity r(n) and query complexity q(n).
Petz is a series of single-player video games dating back to 1995, in which the player can adopt, raise, care for and breed their own virtual pets. Developed by PF.Magic, original Petz (Dogz and Catz) has sold over 1.5 million copies worldwide. [3] The series has grown to over 22 million copies as of 2011 since coming under Ubisoft. [4]
A pet-raising simulation (sometimes called virtual pets or digital pets [1]) is a video game that focuses on the care, raising, breeding or exhibition of simulated animals. . These games are software implementations of digital p
The PCP theorem states that NP = PCP[O(log n), O(1)],. where PCP[r(n), q(n)] is the class of problems for which a probabilistically checkable proof of a solution can be given, such that the proof can be checked in polynomial time using r(n) bits of randomness and by reading q(n) bits of the proof, correct proofs are always accepted, and incorrect proofs are rejected with probability at least 1/2.
One of the most important variants of PCP is the bounded Post correspondence problem, which asks if we can find a match using no more than k tiles, including repeated tiles. A brute force search solves the problem in time O(2 k), but this may be difficult to improve upon, since the problem is NP-complete. [7]
A virtual pet (also known as a digital pet, artificial pet, [1] or pet-raising simulation) is a type of artificial human companion.They are usually kept for companionship or enjoyment, or as an alternative to a real pet.
Nintendogs [a] (stylized in all lowercase) is a real-time pet simulation video game developed and published by Nintendo for the Nintendo DS handheld video game console.It was released in Japan, and was later released in: North America, Australia, New Zealand, Europe and other regions.
The dashed line indicates that player 2 does not know whether player 1 will play A or B in a simultaneous game. Subgame 1 is solved and (3,4) replaces all of Subgame 1 and player one will choose U -> (3,4)Solution for Subgame 1. Player 1 chooses U rather than D because 3 > 2 for Player 1's payoff. The resulting equilibrium is (A, X) → (3,4).