In the present work we study first-order theories and their Lindenbaum alge- bras by analyzing the properties of the chain BnT n<ω, called B-chain, where BnT is the subalgebra of the Lindenbaum algebra given by formulas with up to n free variables. We enrich the structure of Lindenbaum algebra in order to cap- ture some differences between theories with term-by-term isomorphic B-chains. Several examples of theories and calculations of their B-chains are given. We also construct a model of Robinson arithmetic, whose n-th algebras of definable sets are isomorphic to the Cartesian product of the countable atomic saturated Boolean algebra and the countable atomless Boolean algebra. 1
| Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:313906 |
| Date | January 2011 |
| Creators | Garlík, Michal |
| Contributors | Mlček, Josef, Glivický, Petr |
| Source Sets | Czech ETDs |
| Language | Czech |
| Detected Language | English |
| Type | info:eu-repo/semantics/masterThesis |
| Rights | info:eu-repo/semantics/restrictedAccess |
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