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Richard A. Shore
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- affiliation: Cornell University, Department of Mathematics, Ithaca, NY, USA
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2020 – today
- 2023
- [j71]Richard A. Shore
:
Almost theorems of Hyperarithmetic Analysis. J. Symb. Log. 88(2): 664-696 (2023) - 2022
- [j70]James S. Barnes, Jun Le Goh
, Richard A. Shore
:
Theorems of Hyperarithmetic Analysis and Almost theorems of Hyperarithmetic Analysis. Bull. Symb. Log. 28(1): 133-149 (2022)
2010 – 2019
- 2018
- [j69]Antonio Montalbán, Richard A. Shore:
Conservativity of Ultrafilters over Subsystems of second order Arithmetic. J. Symb. Log. 83(2): 740-765 (2018) - [j68]David R. Bélanger, Richard A. Shore:
On the Jumps of the Degrees Below a Recursively Enumerable Degree. Notre Dame J. Formal Log. 59(1): 91-107 (2018) - 2017
- [c5]Leo Harrington, Richard A. Shore, Theodore A. Slaman:
Σ _1^1 in Every Real in a Σ _1^1 Class of Reals Is Σ _1^1. Computability and Complexity 2017: 455-466 - 2016
- [j67]Katie Brodhead
, Mushfeq Khan, Bjørn Kjos-Hanssen
, William A. Lampe, Paul Kim Long V. Nguyen, Richard A. Shore:
The strength of the Grätzer-Schmidt theorem. Arch. Math. Log. 55(5-6): 687-704 (2016) - [j66]Stephen Binns, Richard A. Shore, Stephen G. Simpson:
Mass problems and density. J. Math. Log. 16(2): 1650006:1-1650006:10 (2016) - 2014
- [j65]Chris J. Conidis, Richard A. Shore:
The complexity of ascendant sequences in locally nilpotent groups. Int. J. Algebra Comput. 24(2): 189-206 (2014) - [j64]Richard A. Shore:
The Turing Degrees below generics and randoms. J. Symb. Log. 79(1): 171-178 (2014) - 2013
- [j63]Mingzhong Cai, Richard A. Shore:
Low level nondefinability results: Domination and recursive enumeration. J. Symb. Log. 78(3): 1005-1024 (2013) - [j62]Barbara F. Csima, Johanna N. Y. Franklin, Richard A. Shore:
Degrees of Categoricity and the Hyperarithmetic Hierarchy. Notre Dame J. Formal Log. 54(2): 215-231 (2013) - 2012
- [j61]Alberto Marcone
, Antonio Montalbán, Richard A. Shore:
Computing maximal chains. Arch. Math. Log. 51(5-6): 651-660 (2012) - [j60]Peter Cholak, Damir D. Dzhafarov, Noah David Schweber, Richard A. Shore:
Computably Enumerable Partial Orders. Comput. 1(2): 99-107 (2012) - [j59]Mingzhong Cai, Richard A. Shore, Theodore A. Slaman:
The n-R.E. Degrees: Undecidability and σ1 Substructures. J. Math. Log. 12(1): 1250005 (2012) - [j58]Mingzhong Cai, Richard A. Shore:
Domination, forcing, array nonrecursiveness and relative recursive enumerability. J. Symb. Log. 77(1): 33-48 (2012) - 2011
- [j57]Andrew E. M. Lewis, Richard A. Shore, Andrea Sorbi:
Topological aspects of the Medvedev lattice. Arch. Math. Log. 50(3-4): 319-340 (2011) - [j56]Alberto Marcone
, Richard A. Shore:
The maximal linear extension theorem in second order arithmetic. Arch. Math. Log. 50(5-6): 543-564 (2011) - 2010
- [j55]Richard A. Shore:
Reverse mathematics: the playground of logic. Bull. Symb. Log. 16(3): 378-402 (2010) - [j54]Bjørn Kjos-Hanssen, Richard A. Shore:
Lattice initial segments of the hyperdegrees. J. Symb. Log. 75(1): 103-130 (2010)
2000 – 2009
- 2007
- [j53]Richard A. Shore:
Local Definitions in Degree Structures: The Turing Jump, Hyperdegrees and Beyond. Bull. Symb. Log. 13(2): 226-239 (2007) - [j52]Richard A. Shore:
Direct and Local Definitions of the Turing jump. J. Math. Log. 7(2) (2007) - [j51]Denis R. Hirschfeldt, Richard A. Shore:
Combinatorial principles weaker than Ramsey's Theorem for pairs. J. Symb. Log. 72(1): 171-206 (2007) - [j50]Barbara F. Csima, Richard A. Shore:
The settling-time reducibility ordering. J. Symb. Log. 72(3): 1055-1071 (2007) - 2006
- [j49]Peter Cholak, Richard A. Shore, Reed Solomon:
A computably stable structure with no Scott family of finitary formulas. Arch. Math. Log. 45(5): 519-538 (2006) - [j48]Richard A. Shore:
Degree Structures: Local and Global Investigations. Bull. Symb. Log. 12(3): 369-389 (2006) - [j47]Noam Greenberg, Richard A. Shore, Theodore A. Slaman:
The Theory of the Metarecursively Enumerable Degrees. J. Math. Log. 6(1) (2006) - [j46]Barbara F. Csima, Antonio Montalbán, Richard A. Shore:
Boolean Algebras, Tarski Invariants, and Index Sets. Notre Dame J. Formal Log. 47(1): 1-23 (2006) - 2004
- [j45]Joseph Y. Halpern, Richard A. Shore:
Reasoning about common knowledge with infinitely many agents. Inf. Comput. 191(1): 1-40 (2004) - [j44]Sergei S. Goncharov, Valentina S. Harizanov, Julia F. Knight, Richard A. Shore:
Pi11 relations and paths through. J. Symb. Log. 69(2): 585-611 (2004) - [j43]Noam Greenberg, Antonio Montalbán, Richard A. Shore:
Generalized high degrees have the complementation property. J. Symb. Log. 69(4): 1200-1220 (2004) - 2003
- [j42]Rodney G. Downey, Geoffrey LaForte, Richard A. Shore:
Decomposition and infima in the computably enumerable degrees. J. Symb. Log. 68(2): 551-579 (2003) - [j41]Denis R. Hirschfeldt, Bakhadyr Khoussainov, Richard A. Shore:
A computably categorical structure whose expansion by a constant has infinite computable dimension. J. Symb. Log. 68(4): 1199-1241 (2003) - 2002
- [j40]Denis R. Hirschfeldt, Bakhadyr Khoussainov, Richard A. Shore, Arkadii M. Slinko
:
Degree spectra and computable dimensions in algebraic structures. Ann. Pure Appl. Log. 115(1-3): 71-113 (2002) - [j39]Richard A. Shore, Yue Yang:
A nonlow2 R. E. Degree with the Extension of Embeddings Properties of a low2 Degree. Math. Log. Q. 48(1): 131-146 (2002) - [i2]Samuel R. Buss, Alexander S. Kechris, Anand Pillay, Richard A. Shore:
The prospects for mathematical logic in the twenty-first century. CoRR cs.LO/0205003 (2002) - 2001
- [j38]Peter A. Fejer, Richard A. Shore:
Every incomplete computably enumerable truth-table degree is branching. Arch. Math. Log. 40(2): 113-123 (2001) - [j37]Samuel R. Buss, Alexander S. Kechris, Anand Pillay, Richard A. Shore:
The prospects for mathematical logic in the twenty-first century. Bull. Symb. Log. 7(2): 169-196 (2001) - 2000
- [j36]Klaus Ambos-Spies, Denis R. Hirschfeldt, Richard A. Shore:
Undecidability and 1-types in intervals of the computably enumerable degrees. Ann. Pure Appl. Log. 106(1-3): 1-47 (2000)
1990 – 1999
- 1999
- [j35]Bakhadyr Khoussainov, Richard A. Shore:
Erratum to "Computable Isomorphisms, Degree Spectra of Relations, and Scott Families". Ann. Pure Appl. Log. 98(1-3): 297-298 (1999) - [j34]Peter Cholak, Sergei S. Goncharov, Bakhadyr Khoussainov, Richard A. Shore:
Computably Categorical Structures and Expansions by Constants. J. Symb. Log. 64(1): 13-37 (1999) - [c4]Joseph Y. Halpern, Richard A. Shore:
Reasoning about Common Knowledge with Infinitely Many Agents. LICS 1999: 384-393 - [p1]Richard A. Shore:
The Recursively Enumerable Degrees. Handbook of Computability Theory 1999: 169-197 - [i1]Joseph Y. Halpern, Richard A. Shore:
Reasoning About Common Knowledge with Infinitely Many Agents. CoRR cs.LO/9909014 (1999) - 1998
- [j33]Bakhadyr Khoussainov, Richard A. Shore:
Computable Isomorphisms, Degree Spectra of Relations, and Scott Families. Ann. Pure Appl. Log. 93(1-3): 153-193 (1998) - [j32]Rodney G. Downey, Richard A. Shore:
Splitting Theorems and the Jump Operator. Ann. Pure Appl. Log. 94(1-3): 45-52 (1998) - 1997
- [b2]Anil Nerode, Richard A. Shore:
Logic for Applications, Second Edition. Graduate Texts in Computer Science, Springer 1997, ISBN 978-0-387-94893-5, pp. I-XIII, 1-456 - [j31]Richard A. Shore:
Conjectures and questions from Gerald Sacks's Degrees of Unsolvability. Arch. Math. Log. 36(4-5): 233-253 (1997) - [j30]Richard A. Shore:
Logic Colloquium '95, Haifa, Israel, 9-17 August 1995 - Preface. Ann. Pure Appl. Log. 87(2): 101-102 (1997) - [j29]Richard A. Shore:
Alonzo Church. Bull. Symb. Log. 3(2): 153- (1997) - [j28]Bakhadyr Khoussainov, André Nies
, Richard A. Shore:
Computable Models of Theories with Few Models. Notre Dame J. Formal Log. 38(2): 165-178 (1997) - 1996
- [j27]Marat M. Arslanov
, Steffen Lempp, Richard A. Shore:
Interpolating d-r.e. and REA Degrees between r.e. Degrees. Ann. Pure Appl. Log. 78(1-3): 29-56 (1996) - [j26]André Nies
, Richard A. Shore, Theodore A. Slaman:
Definability in the recursively enumerable degrees. Bull. Symb. Log. 2(4): 392-404 (1996) - [c3]Bakhadyr Khoussainov, Richard A. Shore:
Categoricity and Scott Families. DMTCS 1996: 299-307 - 1995
- [j25]André Nies
, Richard A. Shore:
Interpreting True Arithmetic in the Theory of the r.e. Truth Table Degrees. Ann. Pure Appl. Log. 75(3): 269-311 (1995) - [j24]Richard A. Shore:
The Bulletin of Symbolic Logic. Bull. Symb. Log. 1(1): 1-3 (1995) - [j23]Rodney G. Downey, Richard A. Shore:
Degree Theoretic Definitions of the low2 Recursively Enumerable Sets. J. Symb. Log. 60(3): 727-756 (1995) - [c2]Peter Cholak, Rod Downey, Richard A. Shore:
Intervals Without Critical Triples. Logic Colloquium 1995: 17-43 - 1993
- [b1]Anil Nerode, Richard A. Shore:
Logic for Applications. Texts and Monographs in Computer Science, Springer 1993, ISBN 978-0-387-94129-5, pp. I-XVII, 1-365 - [j22]Douglas A. Cenzer, Rodney G. Downey, Carl G. Jockusch Jr., Richard A. Shore:
Countable Thin Pi01 Classes. Ann. Pure Appl. Log. 59(2): 79-139 (1993) - [j21]Klaus Ambos-Spies, Richard A. Shore:
Undecidability and 1-Types in the Recursively Enumerable Degrees. Ann. Pure Appl. Log. 63(1): 3-37 (1993) - [j20]Richard A. Shore, Theodore A. Slaman:
Working below a Highly Recursively Enumerable Degree. J. Symb. Log. 58(3): 824-859 (1993) - [j19]Steffen Lempp, Rodney G. Downey, Richard A. Shore:
Highness and Bounding Minimal Pairs. Math. Log. Q. 39: 475-491 (1993) - 1992
- [j18]Alistair H. Lachlan, Richard A. Shore:
Then-rea enumeration degrees are dense. Arch. Math. Log. 31(4): 277-285 (1992) - [j17]Ron Aharoni, Menachem Magidor, Richard A. Shore:
On the strength of König's duality theorem for infinite bipartite graphs. J. Comb. Theory B 54(2): 257-290 (1992) - [j16]Klaus Ambos-Spies, André Nies, Richard A. Shore:
The Theory of the Recursively Enumerable Weak Truth-Table Degrees Is Undecidability. J. Symb. Log. 57(3): 864-874 (1992) - [j15]Richard A. Shore, Theodore A. Slaman:
The p-T Degrees of the Recursive Sets: Lattice Embeddings, Extensions of Embeddings and the Two-Quantifier Theory. Theor. Comput. Sci. 97(2): 263-284 (1992) - 1990
- [j14]Richard A. Shore, Theodore A. Slaman:
Working below a low2 recursively enumerably degree. Arch. Math. Log. 29(3): 201-211 (1990) - [j13]Christine Ann Haught, Richard A. Shore:
Undecidability and Initial Segments of the R.E. tt-Degrees. J. Symb. Log. 55(3): 987-1006 (1990)
1980 – 1989
- 1989
- [c1]Richard A. Shore, Theodore A. Slaman:
The P-T-Degrees of the Recursive Sets: Lattice Embeddings, Extension of Embeddings and the Two Quantifier Theory. SCT 1989: 68-76 - 1988
- [j12]Richard A. Shore:
A non-inversion theorem for the jump operator. Ann. Pure Appl. Log. 40(3): 277-303 (1988) - [j11]Peter A. Fejer, Richard A. Shore:
Infima of recursively enumerable truth table degrees. Notre Dame J. Formal Log. 29(3): 420-437 (1988) - 1984
- [j10]Richard A. Shore:
The arithmetic and Turing degrees are not elementarily equivalent. Arch. Math. Log. 24(1): 137-139 (1984) - [j9]Carl G. Jockusch Jr., Richard A. Shore:
Pseudo-Jump Operators. II: Transfinite Iterations, Hierarchies and Minimal Covers. J. Symb. Log. 49(4): 1205-1236 (1984) - 1982
- [j8]Richard A. Shore:
On Homogeneity and Definability in the First-Order Theory of the Turing Degrees. J. Symb. Log. 47(1): 8-16 (1982)
1970 – 1979
- 1978
- [j7]Richard A. Shore:
Controlling the Dependence Degree of a Recursive Enumerable Vector Space. J. Symb. Log. 43(1): 13-22 (1978) - [j6]Richard A. Shore:
Nowhere Simple Sets and the Lattice of Recursively Enumerable Sets. J. Symb. Log. 43(2): 322-330 (1978) - [j5]Richard A. Shore:
Some More Minimal Pairs of α-Recursively Enumerable Degrees. Math. Log. Q. 24(25-30): 409-418 (1978) - 1976
- [j4]Anne Leggett, Richard A. Shore:
Types of Simple alpha-Recursively Enumerable Sets. J. Symb. Log. 41(3): 681-694 (1976) - 1974
- [j3]Richard A. Shore:
sigman Sets which are trianglen-Incomparable (Uniformly). J. Symb. Log. 39(2): 295-304 (1974) - 1972
- [j2]E. M. Kleinberg, Richard A. Shore:
Weak Compactness and Square Bracket Partition Relations. J. Symb. Log. 37(4): 673-676 (1972) - 1971
- [j1]E. M. Kleinberg, Richard A. Shore:
On Large Cardinals and Partition Relations. J. Symb. Log. 36(2): 305-308 (1971)
Coauthor Index
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