By Jon Louis Bentley, Thomas Ottmann (auth.), Jozef Gruska, Michal Chytil (eds.)

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**Extra info for Mathematical Foundations of Computer Science 1981: Proceedings, 10th Symposium à trbské Pleso, Czechoslovakia August 31 – September 4, 1981**

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Scientific A m e r i c a n , II. Gill J . T . C o m p u t a t i o n a l c o m p l e x i t y of p r o b a b i l i s t i c Turing m a c h i n e s . - P r o c . 6th ACM Syrup. on T h e o r y of C o m p u t i n g , 1974, 91-95. 12. J a n i g a L. R e a l - t i m e c o m p u t a t i o n s of t w o - w a y m u l t i h e a d finite a u t o m a t a . - P r o c . F u n d a m e n t a l s of Computation Theory FCT' 79, B e r l i n , A k a d e m i e , 1979, 214-218. 13. Jung H. Relationships between p r o b a b i l i s t i c and d e t e r m i n i s t i c tape c o m p l e x i t y .

8. Freivalds R. 74, 1979, 57-69. R. P r o b a b i l i s t i c machines can use less running 9 ' 7 7 , IFtP~ N o r t h - H o l l a n d , 1977: 839-842. time. 3, algorithms. - Lecture Notes in Computer Science~ 44 9. Freivalds R. Recognition of languages by probabilistic Turin 9 machines in real t i m e and by pushdown automata. - Problemy pereda~i informacii ~ v. 15, No. 4, 1979, 96-101 (Russian). I0. Gardner 54. Mathematical games. - Scientific A m e r i c a n , II. Gill J . T . C o m p u t a t i o n a l c o m p l e x i t y of p r o b a b i l i s t i c Turing m a c h i n e s .

Section 5 is short. W e prove that the counterpart of the theorem on the gap in space complexities between const and log log n does not hold for probabilistic Turing machines. It is a very hard problem to c o m p a r e the capabilities of nondeterministic and deterministic 2-way multihead finite automata. This problem is equivalent to the we11known L N L ? problem. L. Janiga [12] proved a hierarchy theorem for languages recognized b y deterministic and nondeterministic multihead finite automata operating in real time.