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Invited Talks
Nonmonotonic Description Logics - Requirements, Theory, and Implementations Piero A. Bonatti 1
Our Quest for the Holy Grail of Agent Verification John-Jules Ch. Meyer 2
An Abstract Framework for Satisfiability Modulo Theories Cesare Tinelli 10
Research Papers
Axiom Pinpointing in General Tableaux Franz Baader Rafael Penaloza 11
Proof Theory for First Order Lukasiewicz Logic Matthias Baaz George Metcalfe 28
A Tableau Method for Public Announcement Logics Philippe Balbiani Hans van Ditmarsch Andreas Herzig Tiago de Lima 43
Bounded Model Checking with Description Logic Reasoning Shoham Ben-David Richard Trefler Grant Weddell 60
Tableau Systems for Logics of Subinterval Structures over Dense Orderings Davide Bresolin Valentin Goranko Angelo Montanari Pietro Sala 73
A Cut-Free Sequent Calculus for Bi-intuitionistic Logic Linda Buisman Rajeev Gore 90
Tableaux with Dynamic Filtration for Layered Modal Logics Olivier Gasquet Bilal Said 107
The Neighbourhood of S0.9 and S1 Roderic A. Girle 119
EXPTIME Tableaux with Global Caching for Description Logics with Transitive Roles, Inverse Roles and Role Hierarchies Rajeev Gore Linh Anh Nguyen 133
Tree-Sequent Methods for Subintuitionistic Predicate Logics Ryo Ishigaki Kentaro Kikuchi 149
A Sequent Calculus for Bilattice-Based Logic and Its Many-Sorted Representation Ekaterina Komendantskaya 165
Updating Reduced Implicate Tries Neil V. Murray Erik Rosenthal 183
A Bottom-Up Approach to Clausal Tableaux Nicolas Peltier 199
Differential Dynamic Logic for Verifying Parametric Hybrid Systems Andre Platzer 216
System Descriptions
Improvements to the Tableau Prover PITP Alessandro Avellone Guide Fiorino Ugo Moscato 233
KLMLean 2.0: A Theorem Prover for KLM Logics of Nonmonotonic Reasoning Laura Giordano Valentina Gliozzi Gian Luca Pozzato 238
Author Index 245
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Irving Fong
reviewed Automated Reasoning with Analytic Tableaux and Related Methods: 16th International Conference, Tableaux 2007, AIX en Provence, France, July 3-6, 2007, Proceedings on August 26, 2010
Automated Reasoning with Analytic Tableaux and Related Methods
I normally don't do this, but I'm going to copy/paste this review across three separate books: Chaitin's "The Unknowable", "The Limits of Mathematics", and "Exploring Randomness".
All three are all thin, overpriced, but very approachable books on Algorithmic Information Theory. Themes include:
- Undecidability, as the basis of formulating a new kind of randomness measure for numbers that have already been generated (not just restricting randomness measures to the processes that generate numbers).
- Chaitin's Omega constant, which is the probability that universal Turning machine will halt on random input. This constant is "maximally unknowable", but that doesn't stop one from performing math with it.
- Philosophy surrounding these topics.
One might underestimate Kolmogorov's contributions, given how ridiculously self-promoting Chaitin has been with this AIT. However, the topics are interesting enough that he's easy to forgive. And he uses many code demonstrations (LISP) to make concrete examples out of the math.
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