Infinity in Logic and Computation : International Conference, ILC 2007, Cape Town, South Africa, November 3-5, 2007, Revised Selected Papers

Annotation Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this volume constitutes a selection of papers presented at the International Conference on Infinity in Logic and Computation, ILC 2007, held in Cape Town, South Africa, in November 2007. The 7 revised papers presented together with 2 invited talks were carefully selected from 27 initial submissions during two rounds of reviewing and improvement. The papers address all aspects of infinity in automata theory, logic, computability and verification and focus on topics such as automata on infinite objects; combinatorics, cryptography and complexity; computability and complexity on the real numbers; infinite games and their connections to logic; logic, computability, and complexity in finitely presentable infinite structures; randomness and computability; transfinite computation; and verification of infinite state systems Front Matter....Pages - Nadia Busi (1968–2007)....Pages 1-1 Symbolic Model Checking of Tense Logics on Rational Kripke Models....Pages 2-20 Genetic Systems without Inhibition Rules....Pages 21-31 Probabilistic Systems with LimSup and LimInf Objectives....Pages 32-45 A Playful Glance at Hierarchical Questions for Two-Way Alternating Automata....Pages 46-55 Towards Model-Checking Programs with Lists....Pages 56-86 Representations of Numbers as $\sum_{k=-n}^n \varepsilon_k k$ :A Saddle Point Approach....Pages 87-96 Sets of Infinite Words Recognized by Deterministic One-Turn Pushdown Automata....Pages 97-108 Fine-Continuous Functions and Fractals Defined by Infinite Systems of Contractions....Pages 109-125 Is P = PSPACE for Infinite Time Turing Machines?....Pages 126-137 Back Matter....Pages - 'The topics of the conference included automata on infinite objects; combinatorics, cryptography and complexity; computability and complexity on the real numbers; infinite games and their connections to logic; logic, computability, and complexity in finitely presentable infinite structures; randomness and computability; transfinite computation; and verification of infinite sate systems."--Preface.