Polynomially Bounded Sequences and Polynomial Sequences

• Autorzy: Hiroyuki Okazaki , Yuichi Futa
• Języki publikacji: EN

Abstrakty

EN

In this article, we formalize polynomially bounded sequences that plays an important role in computational complexity theory. Class P is a fundamental computational complexity class that contains all polynomial-time decision problems [11], [12]. It takes polynomially bounded amount of computation time to solve polynomial-time decision problems by the deterministic Turing machine. Moreover we formalize polynomial sequences [5].

Słowa kluczowe

EN

computational complexity; polynomial time

Kategorie tematyczne

• 03B35: Mechanization of proofs and logical operations
• 68Q15: Complexity classes (hierarchies, relations among complexity classes, etc.)
• 03D15: Complexity of computation (including implicit computational complexity)

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2015
• Tom: 23
• Numer: 3
• Strony: 205-213

Daty

wydano

2015-09-01

otrzymano

2015-06-30

online

2015-09-30

Twórcy

autor

Hiroyuki Okazaki

• Shinshu University Nagano, Japan

autor

Yuichi Futa

• Japan Advanced Institute of Science and Technology Ishikawa, Japan

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Identyfikatory

DOI

10.1515/forma-2015-0017