The Incomputable

PLENARY TALKS

- Samson Abramsky (Oxford): Intensionality, Definability and Computation

- Martin Davis (Berkeley/New York): Contributions of E. L. Post to the Study of the Incomputable

- Fay Dowker (Imperial College, London): A Framework for Logic in Physics

- Seth Lloyd (MIT): A Turing Test for Free Will

- Philip Maini (Oxford): Turing's Theory for Biological Pattern Formation

- Yuri Matiyasevich (St Petersburg): Turing Machines vs Diophantine Machines

- Cris Moore (Santa Fe): P vs NP, Phase Transitions, and Incomputability in the Wild

- István Németi/ Hajnal Andréka (Budapest): Relativistic Computing Beyond the Turing Barrier

- Theodore A Slaman (Berkeley): The Mathematics of Relative Computability

- Robert I Soare (Chicago): Church-Turing Completeness: Syntax and Semantics

- Vlatko Vedral (Oxford): What Features of Living Systems Can We Simulate on a Quantum Computer?


SPECIAL SESSIONS

The Mathematics of Incomputability

- Klaus Ambos-Spies (Heidelberg): On the Strongly Bounded Turing Degrees of C.E. Sets: Degrees Inside Degrees

- Marat M Arslanov (Kazan): Definable Relations in the Turing Degree Structures

- Douglas Cenzer (Gainesville): Structures and Isomorphisms in the Difference Hierarchy

- Peter Cholak (Notre Dame): The Computably Enumerable Sets: a Survey

- Rodney Downey (Wellington): Strong Jump Traceability, Part 1

- Sy Friedman (Vienna): Computational Complexity and Set Theory

- Noam Greenberg (Wellington): Strong Jump Traceability, Part 2

- Joel David Hamkins (CUNY): The Hierarchy of Equivalence Relations on the Natural Numbers Under Computable Reducibility

- Valentina Harizanov (Washington): Injections, Orbits, and Complexity

- Denis Hirschfeldt (Chicago): Categoricity Properties for Computable Algebraic Fields

- Julia Knight (Notre Dame): Classification of Countable Structures and the Effective Borel Hierarchy

- Antonin Kucera (Prague): Randomness and Classes of PA and DNC Functions in Computability

- Andrew Lewis (Leeds): The Complexity of Computable Categoricity

- Antonio Montalban (Chicago): A Computability Theoretic Equivalent to Vaught's Conjecture

- André Nies (Auckland): Ten Years of Triviality

- Richard A Shore (Cornell): Interpreting Arithmetic in the Turing Degrees Below Generics and Randoms

- Andrea Sorbi (Siena): Relative Computability of Partial Functions

- Ivan Soskov (Sofia): Definability Properties of Marker's Extensions

- Alexandra Soskova (Sofia): Enumeration Degree Spectra

- Philip Welch (Bristol): Generalised Transfinite Turing Machines and Strategies for Games


Exploring Real-World Complexity and Computability

- Mark Bishop (Goldsmiths): Trouble with Computation

- Cristian Calude (Auckland): The Halting Problem Revisited

- Bob Coecke (Oxford): How Computer Science Helps to Bring Quantum Physics to the Masses

- José Félix Costa (Lisbon): Classifying the Theories of Physics

- Vincent Danos (Edinburgh): Equilibrium and Termination

- Steven Ericsson-Zenith (Palo Alto): Computing With Structure

- Mark Hogarth (Cambridge): Would You Please Stop Talking About the Church-Turing Thesis, Please

- Elham Kashefi (Edinburgh): Quantum Turing Test

- Antonina Kolokolova (Newfoundland): How Hard is Proving Hardness? Logic Approach to Barriers in Complexity

- Giuseppe Longo (Paris): Turing, from the "Discrete State Machine" to the "Continuous Systems" for Morphogenesis

- Ursula Martin (London): What Can We Learn from Online Math?

- Mehrnoosh Sadrzadeh (Oxford): Compact Closed Categories and Frobenius Algebras for Computing Natural Language Meaning

- Aaron Sloman (Birmingham): The Meta-Morphogenesis of Virtual Machinery with "Physically Indefinable" Functions

- Mike Stannett (Sheffield): Hypercomputation, Physics and Computation

- Christof Teuscher (Portland): From Intrinsic to Designed Computation with Turing's Unorganized Machines

- John Tucker (Swansea): Computation, Measurement and the Interface Between Physical Systems and Algorithms

- Kumaraswamy (Vela) Velupillai (Trento): Incomputability in Economic Theory

- Peter Wegner (Brown University): Modern Computation

- Jiří Wiedermann (Prague): Computability and Non-Computability Issues in Amorphous Computing y