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sav08:lecture12 [2008/04/02 17:01] vkuncak |
sav08:lecture12 [2008/04/02 17:21] vkuncak |
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- | ====== Equality, Decidable FOL Classes, Universal Class and Its Use ====== | + | ====== Equality, Undecidable and Decidable FOL Classes ====== |
Continuation of [[lecture11]]. | Continuation of [[lecture11]]. | ||
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[[Finite Models imply Decidability]] | [[Finite Models imply Decidability]] | ||
- | [[Turing Machines]] | + | [[Classical Decision Problem]] |
- | [[Halting Problem]] - diagonalization in finite case | + | ===== Decidable Forall-Exists Class and its Use ===== |
- | [[Turing-Completeness of 2-counter Machines]] | + | [[Forall-Exists Class Definition]] |
- | [[Undecidability of Tiling]] | + | [[Deciding Forall-Exists Class]] |
- | + | ||
- | [[Complete Recursive Axiomatizations]] | + | |
- | + | ||
- | [[Goedel's Theorem]] | + | |
- | + | ||
- | [[Classical Decision Problem]] | + | |
- | ===== Universal Class ===== | + | [[Deciding a Language of Sets and Relations]] |
- | Motivation: analysis of containers. Set language. Reduction to universal class. Finite models for universal class. | + | [[Verifying Programs with Global Containers]] |