Theories, Pre-Theories and Finite State Transformations on Trees
The closure of an algebra is defined as a generalization of the semigroup of a finite automation. Pretheories are defined as a subclass of the closed algebras, and the relationship between pretheories and the algebraic theories of Lawrence [1963] is explored. Finally, pretheories are applied to the...
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| Language: | en_US |
| Published: |
2004
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| Online Access: | http://hdl.handle.net/1721.1/6190 |
| Summary: | The closure of an algebra is defined as a generalization of the semigroup of a finite automation. Pretheories are defined as a subclass of the closed algebras, and the relationship between pretheories and the algebraic theories of Lawrence [1963] is explored. Finally, pretheories are applied to the characterization problem of finite state transformations on trees, solving an open problem of Thatcher [1969]. |
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