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sav08:lecture12 [2008/04/02 17:01] vkuncak |
sav08:lecture12 [2008/04/02 21:35] 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]]. | ||
| ===== More on Equality ===== | ===== More on Equality ===== | ||
| + | |||
| + | [[Factor Structures]] | ||
| [[Herbrand Universe for Equality]] | [[Herbrand Universe for Equality]] | ||
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| [[Finite Models imply Decidability]] | [[Finite Models imply Decidability]] | ||
| - | [[Turing Machines]] | + | [[Classical Decision Problem]] |
| - | [[Halting Problem]] - diagonalization in finite case | + | ===== Decidable Exists-Forall Class and its Use ===== |
| - | [[Turing-Completeness of 2-counter Machines]] | + | [[Exists-Forall Class Definition]] |
| - | [[Undecidability of Tiling]] | + | [[Deciding Exists-Forall 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]] |