@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}, pages = {157--171}, publisher = {EDP-Sciences}, volume = {34}, number = {2}, year = {2000}, mrnumber = {1774307}, zbl = {0962.68091}, language = {en}, url = {http://www.numdam.org/item/ITA_2000__34_2_157_0/} }
TY - JOUR AU - Zakharov, Vladimir A. TI - On the decidability of the equivalence problem for monadic recursive programs JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2000 SP - 157 EP - 171 VL - 34 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/item/ITA_2000__34_2_157_0/ LA - en ID - ITA_2000__34_2_157_0 ER -
%0 Journal Article %A Zakharov, Vladimir A. %T On the decidability of the equivalence problem for monadic recursive programs %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2000 %P 157-171 %V 34 %N 2 %I EDP-Sciences %U http://www.numdam.org/item/ITA_2000__34_2_157_0/ %G en %F 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) no. 2, pp. 157-171. http://www.numdam.org/item/ITA_2000__34_2_157_0/
[1] A decidable properties of monadic functional schemes. J. ACM 20 (1973) 489-499. | MR | Zbl
, and ,[2] Recursive applicative program schemes, in Handbook of Theoretical Computer Science, edited by J. van Leeuwen, Vol. B (1994) 459-492. | MR | Zbl
,[3] New techniques for proving the decidability of equivalence problems. Lecture Notes in Comput Sci. 317 (1988) 162-175. | MR | Zbl
,[4] Theory of programs. Unpublished notes. Vienna: IBM Seminar (1969).
and ,[5] Equivalence problems for deterministic languages and monadic recursion schemes. J. Comput. System Sci. 14 (1977) 362-399. | MR | Zbl
,[6] Program schemes, recursion schemes and formal languages. J. Comput System Sci. 7 (1973) 119-160. | MR | Zbl
and ,[7] The complexity of equivalence problem for simple programs. J. ACM 28 (1981) 535-560. | MR | Zbl
and ,[8] Decidable problems for the reinforced programs. J. ACM 32 (1985) 466-483. | MR | Zbl
,[9] Dynamic logics, in Handbook of Philosophical Logics, edited by D. Gabbay and F. Guenthner (1984) 497-604. | MR | Zbl
,[10] The equivalence of multi-tape finite automata. Theoret. Comput. Sci. 78 1991) 347-355. | MR | Zbl
and ,[11] Reversal-bounded multicounter machines and their decision problems. J. ACM 25 (1978) 116-133. | MR | Zbl
,[12] On the equivalence of automata over semigroup. Theoretic Cybernetics 6 (1970) 3-71 (in Russian).
,[13] On formalized computer programs. J. Comput. System Sci. 4 (1970) 220-249. | MR | Zbl
, and ,[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 | Zbl
,[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] Finite automata and their decision problems. IBM J. Res. Develop. 3 (1959) 114-125. | MR | Zbl
and ,[19] Classes of recurcively enumerable sets and their decision problems. Trans. Amer. Math. Soc. 74 (1953). | MR | Zbl
,[20] On Ianov's program schemata. J. ACM 11 (1964) 1-9. | MR | Zbl
,[21] An algorithm deciding functional equivalence in a new class of program schemata. Theoret. Comput. Sci. 71 (1990) 265-279. | MR | Zbl
,[22] Tree equivalence of linear recursive schemata is polynomial-time decidable. Inform. Process. Lett. 13 (1981) 147-153. | MR | Zbl
,[23] The equivalence problem for deterministic pushdown automata is decidable. Lecture Notes in Comput. Sci. 1256 (1997) 271-281. | MR
,[24] The extended equivalence problem for a class of non-real-time deterministic pushdown automata. Acta Informatica 32 (1995) 395-413. | MR | Zbl
and ,[25] Deterministic one-counter automata. J. Comput. System Sci. 10 (1975) 340-350. | MR | Zbl
and ,[26] To the equivalence and transformations of program schemata. Rep. Soviet Acad. Sci. 113 (1957) 39-42 (in Russian). | MR | Zbl
,[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).
,