A necessary condition for the rationality of the zeta function of a regular language
β Scribed by Juha Honkala
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 823 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
I n this study we reformulate GODEL'S completeness theorem such that any firstorder calculus can be tested for completeness. The theorem in this form gives simple sufficient and necessary algebraic conditions for the calculus to be complete.
## ON A NECESSARY CONDITION FOR THE VALIDITY OF GOLDBACH'S CONJECTURE1) by ALBERT A. MULLIN 111 Urbana, ulinois (USA) The aut. or dedicates ths paper to tr&e memory of ALAN MATEISON TURING on the occasion of the 50th anniversary of that mathem itician's birthday, 23 June 1912.
We discuss the problem of absolute stability and the Aizerman conjecture. Necessary and sufficient conditions are derived for the Lurie-Postnikov system to be absolutely stable by using a G-type Lyapunov function. The conditions that we give will be easily verified in practical applications.