@incollection{MSMF_1984_2_16__41_0, author = {Volger, Hugo}, title = {The role of rudimentary relations in complexity theory}, booktitle = {Compte-rendu de la table ronde de logique des 15 et 16 octobre 1983 \`a Paris}, editor = {Delon, F. and Lascar, D. and Parigot, M. and Sabbagh, G.}, series = {M\'emoires de la Soci\'et\'e Math\'ematique de France}, pages = {41--51}, publisher = {Soci\'et\'e math\'ematique de France}, number = {16}, year = {1984}, doi = {10.24033/msmf.311}, mrnumber = {87b:03083}, zbl = {0558.68043}, url = {http://archive.numdam.org/articles/10.24033/msmf.311/} }
TY - CHAP AU - Volger, Hugo TI - The role of rudimentary relations in complexity theory BT - Compte-rendu de la table ronde de logique des 15 et 16 octobre 1983 à Paris AU - Collectif ED - Delon, F. ED - Lascar, D. ED - Parigot, M. ED - Sabbagh, G. T3 - Mémoires de la Société Mathématique de France PY - 1984 SP - 41 EP - 51 IS - 16 PB - Société mathématique de France UR - http://archive.numdam.org/articles/10.24033/msmf.311/ DO - 10.24033/msmf.311 ID - MSMF_1984_2_16__41_0 ER -
%0 Book Section %A Volger, Hugo %T The role of rudimentary relations in complexity theory %B Compte-rendu de la table ronde de logique des 15 et 16 octobre 1983 à Paris %A Collectif %E Delon, F. %E Lascar, D. %E Parigot, M. %E Sabbagh, G. %S Mémoires de la Société Mathématique de France %D 1984 %P 41-51 %N 16 %I Société mathématique de France %U http://archive.numdam.org/articles/10.24033/msmf.311/ %R 10.24033/msmf.311 %F MSMF_1984_2_16__41_0
Volger, Hugo. The role of rudimentary relations in complexity theory, dans Compte-rendu de la table ronde de logique des 15 et 16 octobre 1983 à Paris, Mémoires de la Société Mathématique de France, Série 2, no. 16 (1984), pp. 41-51. doi : 10.24033/msmf.311. http://archive.numdam.org/articles/10.24033/msmf.311/
[1] On spectra, Ph. D. Thesis, Princeton Univ., Princeton N.J. 1962, 135 pp.
:[2] The complexity of logical theories, Theoret. Comp. Sci. 11 (1980), 71-77. | MR | Zbl
:[3] Quasirealtime languages, Math. Systems Theory 4 (1970), 97-111. | MR | Zbl
, :[4] Alternation, in : Proc. 17th IEEE Symp. Found. of Comp. Sci. (1976), 98-108. | MR
, :[5] Alternation, J. ACM 28 (1981), 114-133. | MR | Zbl
, , :[6] The bounded arithmetic hierarchy, Information and Control 36 (1978), 102-117. | MR | Zbl
:[7] Context-free languages and rudimentary attributes, Math. Systems Theory 3 (1969), 102-109, 11 (1977/1978), 379-380. | MR | Zbl
:[8] Space-bounded reducibility among combinatorial problems, J. Comp. System Sci. 11 (1975), 68-85, 15 (1977), 241. | MR | Zbl
:[9] Stack languages and log n space, J. Comp. System Sci. 17 (1978), 281-299. | MR | Zbl
, :[10] On parallelism in Turing machines, in: Proc. 17th IEEE Symp. Found. of Comp. Sci. (1976), 89-97. | MR
:[11] Rudimentary predicates, low level complexity classes and related automata, Ph. D. Thesis, Oxford Univ., Oxford 1979, 210 pp.
:[12] The equivalence problem for regular expressions with squaring requires exponential space, in : Proc. 13th IEEE Symp. Switching and Automata Theory (1972), 125-129.
, :[13] Rudimentary predicates and Turing computations, Soviet Math. Dokl. 11 (1970), 1462-1465. | MR
:[14] Rudimentary interpretation of two-tape Turing computations, Kibernetika (1970) 2, 29-35. | MR | Zbl
:[15] Examples of predicates not expressible by S-Rud formulae, Kibernetika (1978) 2, 44-46. | MR | Zbl
:[16] Complexity classes of alternating machines with oracles, in: Proc. 10th Coll. Automata, Languages and Programming (1983), Lecture Notes in Comp. Sci. 154, Springer Verlag 1983, 573-584. | Zbl
:[17] Concatenation as a basis for arithmetic, J. Symb. Logic 11 (1946), 105-114. | MR | Zbl
:[18] Polynomially bounded quantification over higher types and a new hierarchy of the elementary sets, in: Non-classical Logic, Model Theory and Computability, North-Holland Publ. Comp. 1977, 267-281. | MR | Zbl
:[19] Theory of formal systems, Annals of Math. Studies 47, Princeton Univ. Press 1961, 147 pp. | MR | Zbl
:[20] The polynomial-time hierarchy, IBM Res. Report RC5379 (1975).
:[21] The polynomial-time hierarchy, Theoret. Comp. Sci. 3 (1977), 1-22. | MR | Zbl
:[22] Turing machines with linear alternation, theories of bounded concatenation and the decision problem of first order theories, Theoret. Comp. Sci. 23 (1983), 333-338. | MR | Zbl
:[23] Rudimentary relations and Turing machines with linear alternation, to appear in: Proc. Conf. Recursive Combinatorics, Münster 1983, 6 pp. | Zbl
:[24] Applications of complexity theory to ∑0-definability problems in arithmetic, in: Model Theory of Algebra and Arithmetic, Lecture Notes in Math. 834, Springer Verlag 1980, 363-369. | MR | Zbl
:[25] On core structures for Peano arithmetic, in: Logic Coll. '80, North-Holland Publ. Comp. 1982, 311-314. | MR | Zbl
:[26] Models of arithmetic and the rudimentary sets, Bull. Math. Soc. Belg. Sér. B 33 (1981), 157-169. | MR | Zbl
, :[27] Subrecursive predicates and automata, Ph. D. Thesis, Harvard Univ., Cambridge Mass. 1975, 156 pp.
:[28] Complete sets and the polynomial-time hierarchy, Theoret. Comp. Sci. 3 (1977), 23-33. | MR | Zbl
:[29] Rudimentary predicates and relative computation, SIAM J. Computing 7 (1978), 194-209. | MR | Zbl
:[30] Rudimentary relations and formal languages, Ph. D. Thesis, Univ. of California, Berkeley Cal. 1970, 47 pp.
:[31] Rudimentary relations and stack languages, Math. Systems Theory 10 (1977), 337-343. | MR | Zbl
:Cité par Sources :