Subject:
- In this year's Logic Workshop we want to address in particular the issues computation theory and arithmetic. Attention is given also problems on the borderline between cognitive science and philosophy, such as learning semantics and formal epistemology.
- Concrete approach to the study of the foundations of mathematics (in opposition to the axiomatic approach), model-theoretic methods in potentially infinite domains of finite models, combinatorics, automata theory, discrete mathematics;
- Logical foundations of arithmetic, ie. arithmetical model theory, arithmetical proof theory, expressive strength of arithmetical theories (also with generalized quantifiers), weak arithmetics, subsystems of second order arithmetic and computational complexity.
Lecturers:
The list of lecturers of this year's Logic Workshop edition:
Zofia Adamowicz (IM PAN) – IΔ0*
Marat M. Arslanov (AML KSU) – Turing degrees of n-c.e. sets
Marek Czarnecki (IF UW) – Low Basis Theorem and Model Theory without Actual Infinity [.pdf]
Michał T. Godziszewski (IF UW, MIM UW, FUW) – The method of forcing and independence of the Continuum Hypothesis
Dariusz Kalociński (IF UW) – Learning by coordination
Marcin Mostowski (IF UW, IF UJ) – Concrete mathematics
Filip Murlak (MIM UW) – Boolean circuits for beginners
Damian Niwiński (MIM UW) – Fixed-point characterization of polynomial time
Luca San Mauro (DMG VUT) – Logical models for trial and error mathematics. Dialectical and quasi-dialectical systems [.pdf]
Theodore A. Slaman (DM UCB) – The Δ2 Turing Degrees: structure, definability and Cooper's question [.pdf]
Jakub Szymanik (ILLC UvA) – Logical complexity and cognitive difficulty in reasoning [.pdf]
Konrad Zdanowski (WM-P UKSW) – Generalizations of Limit Lemma
Schedule:
Thursday, September 15th
- Unitl 1500 Guests Arrival
- 1500 – 1600 Dinner
- 1600 – 1745 Marcin Mostowski: Concrete mathematics
- 1800 – 1945 Marek Czarnecki: Low Basis Theorem and Model Theory without Actual Infinity 1
- 2000 – 2100 Supper
Friday, September 16th
- 900 – 1000 Breakfast
- 1000 – 1145 Luca San Mauro: Logical models for trial and error mathematics. Dialectical and quasi-dialectical systems 1
- 1200 – 1345 Luca San Mauro: Logical models for trial and error mathematics. Dialectical and quasi-dialectical systems 2
- 1400 – 1545 Dinner
- 1600 – 1745 Konrad Zdanowski: Generalizations of Limit Lemma 1
- 1800 – 1900 Supper
- 1900 – 2045 Konrad Zdanowski: Generalizations of Limit Lemma 2
Saturday, September 17th
- 900 – 1000 Breakfast
- 1000 – 1145 Konrad Zdanowski: Generalizations of Limit Lemma 3
- 1200 – 1345 Marek Czarnecki: Low Basis Theorem and Model Theory without Actual Infinity 2
- 1400 – 1545 Dinner
- 1600 – 1745 Free Time
- 1800 – 1900 Supper
- 1900 – 2045 Luca San Mauro: Logical models for trial and error mathematics. Dialectical and quasi-dialectical systems 3
Sunday, September 18th
- 900 – 1000 Breakfast
- 1000 – 1145 Dariusz Kalociński: Learning by coordination
- 1200 – 1345 Jakub Szymanik: Logical complexity and cognitive difficulty in reasoning
- 1400 – 1545 Dinner
- 1600 – 1745 Free Time
- 1800 – 1900 Supper
- 1900 – 2045 Zofia Adamowicz: IΔ0*
Monday, September 19th
- 900 – 1000 Breakfast
- 1000 – 1145 Michał Godziszewski: The method of forcing and independence of the Continuum Hypothesis 1
- 1200 – 1345 Theodore Slaman: Degrees below 0' 1
- 1400 – 1545 Dinner
- 1600 – 1745 Marat Arslanov: Turing degrees of n-c.e. sets 1
- 1800 – 1900 Supper
- 1900 – 2045 Michał Godziszewski: The method of forcing and independence of the Continuum Hypothesis 2
Tuesday, September 20th
- 900 – 1000 Breakfast
- 1000 – 1145 Theodore Slaman: Degrees below 0' 2
- 1200 – 1345 Damian Niwiński: Fixed-point characterization of polynomial time
- 1400 – 1545 Dinner
- 1600 – 1745 Marat Arslanov: Turing degrees of n-c.e. sets 2
- 1800 – 1900 Supper
- 1900 – 2045 Filip Murlak: Boolean circuits for beginners 1
Wednesday, September 21st
- 900 – 1000 Breakfast
- 1000 – 1145 Filip Murlak: Boolean Circuits for Beginners 2
- 1200 – 1345 Marat Arslanov: Turing degrees of n-c.e. sets 3
- 1400 - 1500 Dinner
- 1500 Workshop Closing