@article{ITA_2000__34_2_157_0,
author = {Zakharov, Vladimir A.},
title = {On the decidability of the equivalence problem for monadic recursive programs},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
volume = {34},
year = {2000},
pages = {157-171},
mrnumber = {1774307},
zbl = {0962.68091},
language = {en},
url = {http://dml.mathdoc.fr/item/ITA_2000__34_2_157_0}
}
Zakharov, Vladimir A. On the decidability of the equivalence problem for monadic recursive programs. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 34 (2000) pp. 157-171. http://gdmltest.u-ga.fr/item/ITA_2000__34_2_157_0/
[1] , and , A decidable properties of monadic functional schemes. J. ACM 20 (1973) 489-499. | MR 400763 | Zbl 0289.68036
[2] , Recursive applicative program schemes, in Handbook of Theoretical Computer Science, edited by J. van Leeuwen, Vol. B (1994) 459-492. | MR 1127194 | Zbl 0900.68095
[3] , New techniques for proving the decidability of equivalence problems. Lecture Notes in Comput Sci. 317 (1988) 162-175. | MR 1023634 | Zbl 0662.68079
[4] and , Theory of programs. Unpublished notes. Vienna: IBM Seminar (1969).
[5] , Equivalence problems for deterministic languages and monadic recursion schemes. J. Comput. System Sci. 14 (1977) 362-399. | MR 443445 | Zbl 0358.68109
[6] and , Program schemes, recursion schemes and formal languages. J. Comput System Sci. 7 (1973) 119-160. | MR 315930 | Zbl 0277.68010
[7] and , The complexity of equivalence problem for simple programs. J. ACM 28 (1981) 535-560. | MR 624732 | Zbl 0462.68023
[8] , Decidable problems for the reinforced programs. J. ACM 32 (1985) 466-483. | MR 831869 | Zbl 0629.68010
[9] , Dynamic logics, in Handbook of Philosophical Logics, edited by D. Gabbay and F. Guenthner (1984) 497-604. | MR 844605 | Zbl 0875.03076
[10] and , The equivalence of multi-tape finite automata. Theoret. Comput. Sci. 78 1991) 347-355. | MR 1095985 | Zbl 0727.68063
[11] , Reversal-bounded multicounter machines and their decision problems. J. ACM 25 (1978) 116-133. | MR 461988 | Zbl 0365.68059
[12] , On the equivalence of automata over semigroup. Theoretic Cybernetics 6 (1970) 3-71 (in Russian).
[13] , and , On formalized computer programs. J. Comput. System Sci. 4 (1970) 220-249. | MR 275717 | Zbl 0209.18704
[14] , Meta-linear schemes with constant assignments. Programmirovanije, The Journal of Programming and Software Engineering (1985) 29-38 (in Russian).
[15] , Hard sets method and semilinear reservoir method with applications. Lecture Notes in Comput. Sci. 1099 (1996) 219-231. | MR 1464451 | Zbl 1046.68569
[16] , Programs schemata, Machine Intelligence. Edinburgh: Univ. Press, Vol. 3 (1968) 19-31.
[17] , Decision problems in computational models. SIGPLAN Notices 7 (1972) 74-82.
[18] and , Finite automata and their decision problems. IBM J. Res. Develop. 3 (1959) 114-125. | MR 103795 | Zbl 0158.25404
[19] , Classes of recurcively enumerable sets and their decision problems. Trans. Amer. Math. Soc. 74 (1953). | MR 53041 | Zbl 0053.00301
[20] , On Ianov's program schemata. J. ACM 11 (1964) 1-9. | MR 166097 | Zbl 0121.12107
[21] , An algorithm deciding functional equivalence in a new class of program schemata. Theoret. Comput. Sci. 71 (1990) 265-279. | MR 1062597 | Zbl 0698.68016
[22] , Tree equivalence of linear recursive schemata is polynomial-time decidable. Inform. Process. Lett. 13 (1981) 147-153. | MR 651463 | Zbl 0479.68052
[23] , The equivalence problem for deterministic pushdown automata is decidable. Lecture Notes in Comput. Sci. 1256 (1997) 271-281. | MR 1616225
[24] and , The extended equivalence problem for a class of non-real-time deterministic pushdown automata. Acta Informatica 32 (1995) 395-413. | MR 1345884 | Zbl 0827.68076
[25] and , Deterministic one-counter automata. J. Comput. System Sci. 10 (1975) 340-350. | MR 379149 | Zbl 0307.68038
[26] , To the equivalence and transformations of program schemata. Rep. Soviet Acad. Sci. 113 (1957) 39-42 (in Russian). | MR 91539 | Zbl 0080.11502
[27] , The equivalence of monadic linear functional programs is decidable in polynomial time, in Proc. of the 2nd Conf. on Discrete Models in Control System Theory (1997) 35-39 (in Russian).