Philip D. Welch

Orcid: 0000-0001-8350-1430

Affiliations:
  • University of Bristol, School of Mathematics


According to our database1, Philip D. Welch authored at least 64 papers between 1985 and 2023.

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Bibliography

2023
Asymmetric Cut and Choose Games.
Bull. Symb. Log., December, 2023

When cardinals determine the power set: inner models and Härtig quantifier logic.
Math. Log. Q., November, 2023

Generalisations of stationarity, closed and unboundedness, and of Jensen's □.
Ann. Pure Appl. Log., July, 2023

2022
Closed and Unbounded Classes and the HäRtig Quantifier Model.
J. Symb. Log., 2022

2021
Stably Measurable Cardinals.
J. Symb. Log., 2021

G<sub>δσ</sub> GAMES AND INDUCTION ON REALS.
J. Symb. Log., 2021

Characterisations of variant transfinite computational models: Infinite time Turing, ordinal time Turing, and Blum-Shub-Smale machines.
Comput., 2021

2020
Some observations on Truth Hierarchies: a correction.
Rev. Symb. Log., 2020

Decision times of infinite computations.
CoRR, 2020

2019
Games and Ramsey-like Cardinals.
J. Symb. Log., 2019

Rethinking Revision.
J. Philos. Log., 2019

Higher Type Recursion for Transfinite Machine Theory.
Proceedings of the Computing with Foresight and Industry, 2019

2018
The Ramified analytical Hierarchy using Extended Logics.
Bull. Symb. Log., 2018

Recognizable sets and Woodin cardinals: computation beyond the constructible universe.
Ann. Pure Appl. Log., 2018

Taming Koepke's Zoo.
Proceedings of the Sailing Routes in the World of Computation, 2018

2016
Turing Transcendent: Beyond the Event Horizon.
Proceedings of the Once and Future Turing: Computing the World, 2016

2015
Large Cardinals, Inner Models, and Determinacy: An Introductory Overview.
Notre Dame J. Formal Log., 2015

Introduction.
Notre Dame J. Formal Log., 2015

Local Club Condensation and L-Likeness.
J. Symb. Log., 2015

The Complexity of the Dependence Operator.
J. Philos. Log., 2015

2014
Some observations on Truth Hierarchies.
Rev. Symb. Log., 2014

Discrete Transfinite Computation.
CoRR, 2014

Transfinite machine models.
Proceedings of the Turing's Legacy: Developments from Turing's Ideas in Logic, 2014

2012
Revision Revisited.
Rev. Symb. Log., 2012

2011
Truth, Logical Validity and Determinateness: a Commentary on field's Saving Truth from Paradox.
Rev. Symb. Log., 2011

Determinacy in strong cardinal models.
J. Symb. Log., 2011

Weak systems of determinacy and arithmetical quasi-inductive definitions.
J. Symb. Log., 2011

Ramsey-like cardinals II.
J. Symb. Log., 2011

Hypermachines.
J. Symb. Log., 2011

Greatly Erdős cardinals with some generalizations to the Chang and Ramsey properties.
Ann. Pure Appl. Log., 2011

Global square and mutual stationarity at the aleph<sub>n</sub>.
Ann. Pure Appl. Log., 2011

A Generalised Dynamical System, Infinite Time Register Machines, and $\Pi^1_1$ -CA0.
Proceedings of the Models of Computation in Context, 2011

2010
Book Reviews.
Stud Logica, 2010

2009
Characteristics of discrete transfinite time Turing machine models: Halting times, stabilization times, and Normal Form theorems.
Theor. Comput. Sci., 2009

Games for truth.
Bull. Symb. Log., 2009

Relativistic Computers and Transfinite Computation.
Proceedings of the Unconventional Computation, 8th International Conference, 2009

2008
Bounding lemmata for non-deterministic halting times of transfinite Turing machines.
Theor. Comput. Sci., 2008

Ultimate Truth vis-à-vis stable Truth.
Rev. Symb. Log., 2008

On the consistency strength of the inner model hypothesis.
J. Symb. Log., 2008

2007
The Undecidability of Propositional Adaptive Logic.
Synth., 2007

Turing Unbound: Transfinite Computation.
Proceedings of the Computation and Logic in the Real World, 2007

2006
Non-deterministic Halting Times for Hamkins-Kidder Turing Machines.
Proceedings of the Logical Approaches to Computational Barriers, 2006

2005
Comparing Inductive and Circular Definitions: Parameters, Complexity and Games.
Stud Logica, 2005

Some Open Problems in Mutual Stationarity Involving Inner Model Theory: A Commentary.
Notre Dame J. Formal Log., 2005

The Transfinite Action of 1 Tape Turing Machines.
Proceedings of the New Computational Paradigms, 2005

2004
On unfoldable cardinals, omega-closed cardinals, and the beginning of the inner model hierarchy.
Arch. Math. Log., 2004

2003
P<sup>f</sup> != NP<sup>f</sup> for almost all f.
Math. Log. Q., 2003

On revision operators.
J. Symb. Log., 2003

Possible-Worlds Semantics for Modal Notions Conceived as Predicates.
J. Philos. Log., 2003

2002
Bounded Martin's Maximum, Weak Erdös Cardinals and psi <sub>AC</sub>.
J. Symb. Log., 2002

2001
Set-Theoretic Absoluteness and the Revision Theory of Truth.
Stud Logica, 2001

On Elementary Embeddings from An Inner Model to The Universe.
J. Symb. Log., 2001

On Gupta-Belnap Revision Theories of Truth, Kripkean fixed points, and the next stable set.
Bull. Symb. Log., 2001

Post's and other problems of supertasks of higher type.
Proceedings of the Classical and New Paradigms of Computation and their Complexity Hierarchies, 2001

2000
Eventually Infinite Time Turing Machine Degrees: Infinite Time Decidable Reals.
J. Symb. Log., 2000

On successors of Jónsson cardinals.
Arch. Math. Log., 2000

1996
Countable Unions of Simple Sets in the Core Model.
J. Symb. Log., 1996

Determinacy in the Difference Hierarchy of Co-Analytic Sets.
Ann. Pure Appl. Log., 1996

1994
Characterising Subsets of omega<sub>1</sub> Constructible from a Real.
J. Symb. Log., 1994

1988
Some descriptive set theory and core models.
Ann. Pure Appl. Log., 1988

1987
Minimality in the \triangle<sup>1</sup><sub>3</sub>-Degrees.
J. Symb. Log., 1987

The Reals in Core Models.
J. Symb. Log., 1987

1986
The Natural Hierarchy and Quasi-Hierarchy of Constructibility Degrees.
J. Symb. Log., 1986

1985
Comparing Incomparable Kleene Degrees.
J. Symb. Log., 1985


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