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Martin Otto, Darmstadt
Friday 02 November 2007, 14:00-15:00
Model theoretic tools for deciding boundedness of fixed points
- 👤 Speaker: Martin Otto, Darmstadt
- 📅 Date & Time: Friday 02 November 2007, 14:00 - 15:00
- 📍 Venue: Room FW11, Computer Laboratory, William Gates Building
Abstract
Boundedness concerns the question whether a given monotone/positive first-order inductive definition converges to its fixed point within a uniformly bounded number of steps. This is equivalent to the question whether the fixed point is itself first-order, by a classical theorem of Barwise and Moschovakis. The corresponding decision problem is undecidable for all but very limited fragments of first-order logic. I want to focus on the decidability frontier for monadic fixed points and to discuss some old and new results and techniques that suggest to look for a model theoretic divide between decidable and undecidable cases.
Series This talk is part of the Logic and Semantics Seminar (Computer Laboratory) series.
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