Results for 'R. E. Jones'

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  1. E. PEYTCHEV, Collaborative Knowledge, Data and Control Generation for Real Time Information and Control System 3 0. VASILECAS, D. BUGAITE, J. TRINKUNAS, Knowledge Expressed by Ontology Transformation Into Conceptual Model 13 R. MIHALCA, A. UTA, A. ANDRONESCU, I. INTORSUREANU. [REVIEW]R. Doneva, N. Kasakliev, G. Totkov, Ko Jones, Jmv Reid & R. Bartlett - 2007 - Communication and Cognition: An Interdisciplinary Quarterly Journal 40:131.
     
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  2.  6
    The Principles of Mechanics. Edited by D.E. Jones and James Walley.E. A. Singer, Henrich Hertz, D. E. Jones & J. T. Walley - 1900 - Philosophical Review 9 (6):676.
  3.  7
    Xenophon's Anabasis, II. By R. E. Snaith. Pp. Viii + 134. 2s. - Euripides' Hecuba. By F. W. King. Pp. Viii + 162. 2s. 6d. G. Bell and Sons, London, 1938. [REVIEW]D. P. E. - 1938 - Journal of Hellenic Studies 58 (2):286-287.
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  4.  41
    Selected Letters of Pliny, with Notes for the Use of Schools by the Late C. E. Prichard, M.A. And E. R. Bernard, M.A. New Edition. 1887. Clarendon Press. 3s. [REVIEW]G. H. E. - 1888 - The Classical Review 2 (07):214-.
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  5. Jakob Andersson. Kingship in the Early Mesopotamian Onomasticon 2800–2200 B. C. E. Acta Universitatis Upsaliensis. Studia Semitica Upsaliensia, 28. Up-Psala: Uppsala University Library, 2012. Pp. Xxxix, 440. SEK 392 (Pb.). ISBN 978-91-554-8270-1. [REVIEW]S. Bartsch O'Gorman, S. M. Goldberg, E. Paratore, N. P. Miller, P. V. Jones, D. S. Levene, R. Martin, R. Syme, J. Ginsburg & C. Pelling - 2012 - Classical World: A Quarterly Journal on Antiquity 106 (1):149-154.
  6.  20
    Malcolm E. Finbow, Michael Harrison and Phillip Jones Reply.Malcolm Finbow, Mike Harrison & Phil Jones - 1995 - Bioessays 17 (8):745-745.
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  7.  20
    The Scientific Analysis of Pottery - R. E. Jones : Greek and Cypriot Pottery: A Review of Scientific Studies. Pp. Xxxi + 938; Numerous Plates, Figures, Tables and 1 Fiche. Athens: British School at Athens, 1986 . £45.00. [REVIEW]Alan Johnston - 1989 - The Classical Review 39 (1):109-110.
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  8.  27
    Art and Archaeology (D.C.) Haggis Kavousi I: The Archaeological Survey of the Kavousi Region. (Prehistory Monographs 16). Philadelphia: INSTAP Academic Press, 2005. Pp. Xxxii + 242, 71 Figs, 39 Plates. £50/$80. 1931534187. (A.S.) Henry Torone. The Literary, Documentary and Epigraphical Testimonia. (The Archaeological Society at Athens Library 230). Athens, 2004. Pp. 94. 25. 9608145414. (J.K.) Papadopoulos The Early Iron Age Cemetery at Torone. Excavations Conducted by the Australian Archaeological Institute at Athens in Collaboration with the Athens Archaeological Society, with Contributions by J.H. Musgrave, S. Bökönyi, D. Ruscillo, F. Gyulai, K. Kelertas, R.E. Jones and I.K. Whitbread. (Monumenta Archaeologica 24). Los Angeles: Cotsen Institute of Archaeology at UCLA, 2005. Vol. 1: Text; Vol. 2: Illustrations. Pp. Xliii + 1279, Illus. $200. 1931745161. [REVIEW]Robin Osborne - 2007 - Journal of Hellenic Studies 127:213-.
  9.  15
    The Loeb Pausanias - Pausanias: Description of Greece. With an English Translation by W. H. S. Jones. In Five Volumes. IV: Books VIII-X; Pp. 605. V: Companion Volume, Prepared by R. E. Wycherley; Pp. Xviii + 272; 85 Plates. London: Heinemann , 1935. Cloth, 10s. Each. [REVIEW]A. M. Woodward - 1935 - The Classical Review 49 (6):224-225.
  10.  40
    C.E.R.P.2 A. H. M. Jones: The Cities of the Eastern Roman Provinces. Second Edition. Pp. Xvii+595; 9 Maps. Oxford: Clarendon Press, 1971. Cloth, £7·50. [REVIEW]E. W. Gray - 1974 - The Classical Review 24 (02):271-273.
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  11.  30
    Dan Cohn-Sherbok. Judaism and Other Faiths. Pp. 186. £40.00.Dan Cohn-Sherbok & Christopher Lewis . Beyond Death: Theological and Philosophical Reflections on Life After Death. Pp. Xii + 219. £40.00 Hbk, £14.99 Pbk.Roy D. Morrison, II. Science, Theology and the Transcendental Horizon: Einstein, Kant and Tillich. Pp. Xxiii + 460. $59·95 Hbk, $39·95 Pbk.Dewi Z. Phillips, J. R. Jones. Pp. 122. £4·95 Pbk.Jean Porter. Moral Action and Christian Ethics. Pp. 254. £35·00.Frank E. Reynolds & David Tracy . Religion and Practical Reason: New Essays in the Comparative Philosophy of Religions. Pp. Ix + 444. $21.95.Keith E. Yandell. The Epistemology of Religious Experience. Pp. Viii + 371. £35·00. [REVIEW]Brian Clack, A. B. P. & C. B. - 1996 - Religious Studies 32 (1):139.
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  12.  17
    Teenage Pregnancy in Industrialized Countries. By E. F. Jones, J. D. Forrest, N. Goldman, S. Henshaw, R. Lincoln, J. I. Rosoff, C. F. Westoff & D. Wulf. Pp. 310. (Yale University Press, New Haven, 1987.) £25.00. [REVIEW]Ann Phoenix - 1989 - Journal of Biosocial Science 21 (1):124-126.
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  13.  7
    The Scholar's Guide. Joseph R. Jones, John E. Keller. Bagby - 1971 - Speculum 46 (3):521-523.
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  14.  26
    Some New Lattice Constructions in High R. E. Degrees.Heinrich Rolletschek - 1995 - Mathematical Logic Quarterly 41 (3):395-430.
    A well-known theorem by Martin asserts that the degrees of maximal sets are precisely the high recursively enumerable degrees, and the same is true with ‘maximal’ replaced by ‘dense simple’, ‘r-maximal’, ‘strongly hypersimple’ or ‘finitely strongly hypersimple’. Many other constructions can also be carried out in any given high r. e. degree, for instance r-maximal or hyperhypersimple sets without maximal supersets . In this paper questions of this type are considered systematically. Ultimately it is shown that every conjunction of simplicity- (...)
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  15.  9
    Calendar of Plea and Memoranda Rolls Preserved Among the Archives of the Corporation of the City of London at the Guildhall A.D. 1437-1457. Philip E. Jones[REVIEW]Isabel R. Abbott - 1955 - Speculum 30 (3):481-482.
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  16.  16
    In the Grip of Disease: Studies in the Greek Imagination, by G.E.R. Lloyd. [REVIEW]Lesley Dean-Jones - 2007 - Ancient Philosophy 27 (1):205-208.
  17.  29
    Liddell and Scott, Part IV A Greek-English Lexicon. Compiled by H. G. Liddell and R. Scott. A New Edition … by H. Stuart Jones and R. Mckenzie. Part IV.: Ξευτονω—Θησαυριστικς. Oxford: Clarendon Press, 1929. Paper, 10s. 6d. [REVIEW]E. Harrison - 1929 - The Classical Review 43 (05):189-.
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  18.  17
    A Greek-English Lexicon. Compiled by H. G. Liddeix and R. Scott. A New Edition … by H. Stuart Jones and R. McKenzie. Parts 6 and 7: Λ–Οἷ, Οἷ-Περφουρνος. Oxford: Clarendon Press, 1932–1933. Paper, 10s. 6d. Each. [REVIEW]E. Harrison - 1934 - The Classical Review 48 (01):43-.
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  19.  13
    Ann W. Astell . Divine Representations. Pp. 269. . $17.95 Pbk.T. E. Burke. Questions of Belief. Pp. 115. . £30.00.Ursula King . Gender and Religion. Pp. 324. . £40.00 Hbk, £13.95 Pbk.J. J. MacIntosh and H. A. Meynell. Faith, Scepticism and Personal Identity. Pp. Xviii + 304. .Thomas V. Morris . God and the Philosophers. Pp. 285. . £17.50.Anton Wessels. Europe: Was It Ever Really Christian? Pp. 242. . £12.95 Pbk.Prudence Jones and Nigel Pennick. A History of Pagan Europe. Pp. Xv + 262. . £25.00. [REVIEW]Brian R. Clack - 1995 - Religious Studies 31 (4):549.
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  20.  17
    A Greek-English Lexicon, Compiled by H. G. Liddell and R. Scott. A New Edition … by H. Stuart Jones and R. Mckenzie. Part 2 : Άποβάλλω-Διαλέγω. Part 3: Διάλειμμαέξευτελιστής. Oxford : Clarendon Press, 1926, 1927. Paper, 10s. 6d. Each. [REVIEW]E. Harrison - 1928 - The Classical Review 42 (02):91-.
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  21.  45
    Moore's Defence of Common Sense: A Reappraisal After Fifty Years: R. E. Tully.R. E. Tully - 1976 - Philosophy 51 (197):289-306.
    G. E. Moore's ‘A Defence of Common Sense’ has generated the kind of interest and contrariety which often accompany what is new, provocative, and even important in philosophy. Moore himself reportedly agreed with Wittgenstein's estimate that this was his best article, while C. D. Broad has lamented its very great but largely unfortunate influence. Although the essay inspired Wittgenstein to explore the basis of Moore's claim to know many propositions of common sense to be true, A. J. Ayer judges its (...)
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  22.  28
    Classifications of Degree Classes Associated with R.E. Subspaces.R. G. Downey & J. B. Remmel - 1989 - Annals of Pure and Applied Logic 42 (2):105-124.
    In this article we show that it is possible to completely classify the degrees of r.e. bases of r.e. vector spaces in terms of weak truth table degrees. The ideas extend to classify the degrees of complements and splittings. Several ramifications of the classification are discussed, together with an analysis of the structure of the degrees of pairs of r.e. summands of r.e. spaces.
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  23.  14
    A Nonlow2 R. E. Degree with the Extension of Embeddings Properties of a Low2 Degree.Y. Yang & R. A. Shore - 2002 - Mathematical Logic Quarterly 48 (1):131-146.
    We construct a nonlow2 r.e. degree d such that every positive extension of embeddings property that holds below every low2 degree holds below d. Indeed, we can also guarantee the converse so that there is a low r.e. degree c such that that the extension of embeddings properties true below c are exactly the ones true belowd.Moreover, we can also guarantee that no b ≤ d is the base of a nonsplitting pair.
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  24.  24
    The Greeks and the Irrational. By E. R. Dodds. Pp. Ix + 327. Berkeley and Los Angeles: University of California Press , 1951. 37s. 6d. [REVIEW]H. J. Rose & E. R. Dodds - 1953 - Journal of Hellenic Studies 73 (105):176-177.
    In this philosophy classic, which was first published in 1951, E. R. Dodds takes on the traditional view of Greek culture as a triumph of rationalism. Using the analytical tools of modern anthropology and psychology, Dodds asks, "Why should we attribute to the ancient Greeks an immunity from 'primitive' modes of thought which we do not find in any society open to our direct observation?" Praised by reviewers as "an event in modern Greek scholarship" and "a book which it would (...)
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  25.  29
    The D.R.E. Degrees Are Not Dense.S. Barry Cooper, Leo Harrington, Alistair H. Lachlan, Steffen Lempp & Robert I. Soare - 1991 - Annals of Pure and Applied Logic 55 (2):125-151.
    By constructing a maximal incomplete d.r.e. degree, the nondensity of the partial order of the d.r.e. degrees is established. An easy modification yields the nondensity of the n-r.e. degrees and of the ω-r.e. degrees.
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  26.  11
    The D.R.E. Degrees Are Not Dense.S. Cooper, Leo Harrington, Alistair Lachlan, Steffen Lempp & Robert Soare - 1991 - Annals of Pure and Applied Logic 55 (2):125-151.
    By constructing a maximal incomplete d.r.e. degree, the nondensity of the partial order of the d.r.e. degrees is established. An easy modification yields the nondensity of the n-r.e. degrees and of the ω-r.e. degrees.
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  27.  27
    Graphs Realised by R.E. Equivalence Relations.Alexander Gavruskin, Sanjay Jain, Bakhadyr Khoussainov & Frank Stephan - 2014 - Annals of Pure and Applied Logic 165 (7-8):1263-1290.
    We investigate dependence of recursively enumerable graphs on the equality relation given by a specific r.e. equivalence relation on ω. In particular we compare r.e. equivalence relations in terms of graphs they permit to represent. This defines partially ordered sets that depend on classes of graphs under consideration. We investigate some algebraic properties of these partially ordered sets. For instance, we show that some of these partial ordered sets possess atoms, minimal and maximal elements. We also fully describe the isomorphism (...)
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  28. Maximal R.E. Equivalence Relations.Jeffrey S. Carroll - 1990 - Journal of Symbolic Logic 55 (3):1048-1058.
    The lattice of r.e. equivalence relations has not been carefully examined even though r.e. equivalence relations have proved useful in logic. A maximal r.e. equivalence relation has the expected lattice theoretic definition. It is proved that, in every pair of r.e. nonrecursive Turing degrees, there exist maximal r.e. equivalence relations which intersect trivially. This is, so far, unique among r.e. submodel lattices.
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  29.  26
    The Isolated D. R. E. Degrees Are Dense in the R. E. Degrees.Geoffrey Laforte - 1996 - Mathematical Logic Quarterly 42 (1):83-103.
    In the present paper we prove that the isolated differences of r. e. degrees are dense in the r. e. degrees.
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  30.  30
    Bounding Non- GL ₂ and R.E.A.Klaus Ambos-Spies, Decheng Ding, Wei Wang & Liang Yu - 2009 - Journal of Symbolic Logic 74 (3):989-1000.
    We prove that every Turing degree a bounding some non-GL₂ degree is recursively enumerable in and above (r.e.a.) some 1-generic degree.
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  31.  32
    Wtt-Degrees and T-Degrees of R.E. Sets.Michael Stob - 1983 - Journal of Symbolic Logic 48 (4):921-930.
    We use some simple facts about the wtt-degrees of r.e. sets together with a construction to answer some questions concerning the join and meet operators in the r.e. degrees. The construction is that of an r.e. Turing degree a with just one wtt-degree in a such that a is the join of a minimal pair of r.e. degrees. We hope to illustrate the usefulness of studying the stronger reducibility orderings of r.e. sets for providing information about Turing reducibility.
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  32.  28
    Degrees of Difficulty of Generalized R.E. Separating Classes.Douglas Cenzer & Peter G. Hinman - 2008 - Archive for Mathematical Logic 46 (7-8):629-647.
    Important examples of $\Pi^0_1$ classes of functions $f \in {}^\omega\omega$ are the classes of sets (elements of ω 2) which separate a given pair of disjoint r.e. sets: ${\mathsf S}_2(A_0, A_1) := \{f \in{}^\omega2 : (\forall i < 2)(\forall x \in A_i)f(x) \neq i\}$ . A wider class consists of the classes of functions f ∈ ω k which in a generalized sense separate a k-tuple of r.e. sets (not necessarily pairwise disjoint) for each k ∈ ω: ${\mathsf S}_k(A_0,\ldots,A_k-1) := (...)
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  33.  32
    Recursive and R.E. Quotient Boolean Algebras.John J. Thurber - 1994 - Archive for Mathematical Logic 33 (2):121-129.
    We prove a converse to one of the theorems from [F], giving a description in terms of Turing complexity of sets which can be coded into recursive and r.e. quotient Boolean algebras.
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  34.  30
    The Undecidability of the II4 Theory for the R. E. Wtt and Turing Degrees.Steffen Lempp & André Nies - 1995 - Journal of Symbolic Logic 60 (4):1118 - 1136.
    We show that the Π 4 -theory of the partial order of recursively enumerable weak truth-table degrees is undecidable, and give a new proof of the similar fact for r.e. T-degrees. This is accomplished by introducing a new coding scheme which consists in defining the class of finite bipartite graphs with parameters.
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  35.  23
    The Undecidability of the II$^_4$ Theory for the R. E. Wtt and Turing Degrees.Steffen Lempp & André Nies - 1995 - Journal of Symbolic Logic 60 (4):1118-1136.
    We show that the $\Pi_4$-theory of the partial order of recursively enumerable weak truth-table degrees is undecidable, and give a new proof of the similar fact for r.e. T-degrees. This is accomplished by introducing a new coding scheme which consists in defining the class of finite bipartite graphs with parameters.
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  36.  19
    Infima in the D.R.E. Degrees.D. Kaddah - 1993 - Annals of Pure and Applied Logic 62 (3):207-263.
    This paper analyzes several properties of infima in Dn, the n-r.e. degrees. We first show that, for every n> 1, there are n-r.e. degrees a, b, and c, and an -r.e. degree x such that a < x < b, c and, in Dn, b c = a. We also prove a related result, namely that there are two d.r.e. degrees that form a minimal pair in Dn, for each n < ω, but that do not form a minimal pair (...)
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  37.  21
    Stability Among R.E. Quotient Algebras.John Love - 1993 - Annals of Pure and Applied Logic 59 (1):55-63.
    A recursive algebra is a structure for which A is a recursive set of numbers and the Fi are uniformly recursive operations. We define an r.e. quotient algebra to be the quotient by an r.e. congruence .We say that is recursively stable among r.e. quotient algebras if, for each r.e. quotient algebra and each isomorphism from onto ′, the set {a,baA,bB and =[b]′} is r.e.We shall consider examples of recursive stability. Then, assuming that has a recursive existential diagram, we show (...)
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  38.  71
    The N-R.E. Degrees: Undecidability and Σ1 Substructures.Mingzhong Cai, Richard A. Shore & Theodore A. Slaman - 2012 - Journal of Mathematical Logic 12 (1):1250005-.
    We study the global properties of [Formula: see text], the Turing degrees of the n-r.e. sets. In Theorem 1.5, we show that the first order of [Formula: see text] is not decidable. In Theorem 1.6, we show that for any two n and m with n < m, [Formula: see text] is not a Σ1-substructure of [Formula: see text].
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  39.  51
    Papyrologica Lugduno-Batava, edidit Institutum Papyrologicum Universitatis Lugduno-Batavae, moderantibus M. David, B. A. van Groningen, J. C. van Oven. I. The Warren Papyri. Ed. by M. David, B. A. van Groningen, and J. C. van Oven. Pp. xii + 76, 7 pll. 1941. Gld. 15. E. J. Brill, Leyden.II. Einige Wiener Papyri. Ed. by E. Boswinkel. Pp. viii + 76, 6 pll. 1942. Gld. 15. E. J. Brill, Leyden. III. Some Oxford Papyri. Ed. by E.P. Wegener. A. Text, pp. xxi + 96. 1942. B. Plates . 1948. Gld. 25. E. J. Brill, Leyden. IV. De Herodoti reliquiis in papyris et membranie Aegyptiis servatis. Ed. by A. H. R. E. Paap. Pp. viii + 104. 1948. Gld. 17.50. E. J. Brill, Leyden. V. Recherches sur le Recensement dans l'Égypte romaine . Ed. by M. Humbert and Cl. Préaux. Pp. x + 186, 1 pl. 1952. Gld. 50. E. J. Brill, Leyden.VI. A Family-Archive from Tebtunis. Ed. by B. A. van Groningen. 1950. Pp. xvi + 190. Gld. 40. E. J. Brill, Leyden. [REVIEW]E. G. Turner, M. David, B. A. van Groningen, J. C. van Oven, E. Boswinkel, E. P. Wegener, A. H. R. E. Paap, M. Hombert & Cl Preaux - 1953 - Journal of Hellenic Studies 73:163-164.
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  40.  26
    On the R.E. Predecessors of D.R.E. Degrees.Shamil Ishmukhametov - 1999 - Archive for Mathematical Logic 38 (6):373-386.
    Let d be a Turing degree containing differences of recursively enumerable sets (d.r.e.sets) and R[d] be the class of less than d r.e. degrees in whichd is relatively enumerable (r.e.). A.H.Lachlan proved that for any non-recursive d.r.e. d R[d] is not empty. We show that the r.e. degree defined by Lachlan for a d.r.e.set $D\in$ d is just the minimum degree in which D is r.e. Then we study for a given d.r.e. degree d class R[d] and show that there (...)
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  41.  19
    A Non-Splitting Theorem for D.R.E. Sets.Xiaoding Yi - 1996 - Annals of Pure and Applied Logic 82 (1):17-96.
    A set of natural numbers is called d.r.e. if it may be obtained from some recursively enumerable set by deleting the numbers belonging to another recursively enumerable set. Sacks showed that for each non-recursive recursively enumerable set A there are disjoint recursively enumerable sets B, C which cover A such that A is recursive in neither A ∩ B nor A ∩ C. In this paper, we construct a counterexample which shows that Sacks's theorem is not in general true when (...)
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  42.  22
    The Principles of Mechanics. Edited by D.E. Jones and James Walley.Henrich Hertz, D. E. Jones & J. T. Walley - 1900 - Philosophical Review 9 (6):676-678.
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  43.  29
    Infima of D.R.E. Degrees.Jiang Liu, Shenling Wang & Guohua Wu - 2010 - Archive for Mathematical Logic 49 (1):35-49.
    Lachlan observed that the infimum of two r.e. degrees considered in the r.e. degrees coincides with the one considered in the ${\Delta_2^0}$ degrees. It is not true anymore for the d.r.e. degrees. Kaddah proved in (Ann Pure Appl Log 62(3):207–263, 1993) that there are d.r.e. degrees a, b, c and a 3-r.e. degree x such that a is the infimum of b, c in the d.r.e. degrees, but not in the 3-r.e. degrees, as a < x < b, c. In (...)
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  44.  27
    Priority Arguments in the Continuous R. E. Degrees.Simon Thompson - 1985 - Journal of Symbolic Logic 50 (3):661-667.
    We show that at each type k ≥ 2, there exist c-irreducible functionals of c-r.e. degree, as defined in [Nor 1]. Our proofs are based on arguments due to Hinman, [Hin 1], and Dvornikov, [Dvo 1].
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  45.  24
    A Non-Well-Founded Primitive Recursive Tree Provably Well-Founded for Co-R.E. Sets.Arnold Beckmann - 2002 - Archive for Mathematical Logic 41 (3):251-257.
    We construct by diagonalization a non-well-founded primitive recursive tree, which is well-founded for co-r.e. sets, provable in Σ1 0. It follows that the supremum of order-types of primitive recursive well-orderings, whose well-foundedness on co-r.e. sets is provable in Σ1 0, equals the limit of all recursive ordinals ω1 ck . RID=""ID="" Mathematics Subject Classification (2000): 03B30, 03F15 RID=""ID="" Supported by the Deutschen Akademie der Naturforscher Leopoldina grant #BMBF-LPD 9801-7 with funds from the Bundesministerium für Bildung, Wissenschaft, Forschung und Technologie. RID=""ID="" (...)
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  46.  35
    Corporations, Minors, and Other Innocents? A Reply to R. E. Ewin.P. Eddy Wilson - 1994 - Journal of Business Ethics 13 (10):761 - 774.
    R. E. Ewin has argued that corporations are moral persons, but Ewin describes them as being unable to think or to act in virtuous and vicious ways. Ewin thinks that their impoverished emotional life would not allow them to act in these ways. In this brief essay I want to challenge the idea that corporations cannot act virtuously. I begin by examining deficiencies in Ewin''s notion of corporate personhood. I argue that he effectively reduces corporations to the status of incompetent (...)
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  47.  21
    Mihaela Miroiu & Mircea Miclea, R'Estul şi Vestul/ The R'E(a)st and the West.Theodora-Eliza Vacarescu - 2006 - Journal for the Study of Religions and Ideologies 5 (14):159-160.
    Mihaela Miroiu & Mircea Miclea, R'Estul şi Vestul (The R'E(a)st and the West) Polirom Publishing House, Iaşi, 2005, 367 pages.
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  48.  19
    Weakly Semirecursive Sets and R.E. Orderings.Martin Kummer & Frank Stephan - 1993 - Annals of Pure and Applied Logic 60 (2):133-150.
    Weakly semirecursive sets have been introduced by Jockusch and Owings . In the present paper their investigation is pushed forward by utilizing r.e. partial orderings, which turn out to be instrumental for the study of degrees of subclasses of weakly semirecursive sets.
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  49.  25
    The Ordertype of Β-R.E. Sets.Klaus Sutner - 1990 - Journal of Symbolic Logic 55 (2):573-576.
    Let β be an arbitrary limit ordinal. A β-r.e. set is l-finite iff all its β-r.e. subsets are β-recursive. The l-finite sets correspond to the ideal of finite sets in the lattice of r.e. sets. We give a characterization of l-finite sets in terms of their ordertype: a β-r.e. set is l-finite iff it has ordertype less than β * , the Σ 1 projectum of β.
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  50.  18
    Interpolating D-R.E. And REA Degrees Between R.E. Degrees.Marat Arslanov, Steffen Lempp & Richard A. Shore - 1996 - Annals of Pure and Applied Logic 78 (1-3):29-56.
    We provide three new results about interpolating 2-r.e. or 2-REA degrees between given r.e. degrees: Proposition 1.13. If c h are r.e. , c is low and h is high, then there is an a h which is REA in c but not r.e. Theorem 2.1. For all high r.e. degrees h g there is a properly d-r.e. degree a such that h a g and a is r.e. in h . Theorem 3.1. There is an incomplete nonrecursive r.e. A (...)
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