有限值逻辑代数积的完备性问题

Proceedings of 24th International Symposium on Multiple-Valued Logic (ISMVL'94) Pub Date : 1994-05-25 DOI:10.1109/ISMVL.1994.302202

B. A. Romov

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引用次数: 7

摘要

给出了k值逻辑和m值逻辑(k,m/spl ges/2)的所有函数的代数P/下标积P/下标k/xP/下标m/的一般完备性判据。建立了子代数格P/ k/xP/ m/与双基不变关系代数(含限制一阶微积分运算)子代数格之间的伽罗瓦联系。利用这一方法得到了P/sub k/xP/sub m/的Slupecki型判据，并解决了P/sub k/xP/sub m/ (m/spl ges/2)的完备性问题

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The completeness problem on the product of algebras of finite-valued logic

Gives a general completeness criterion for the arity-calibrated product P/sub k/xP/sub m/ of the algebras of all functions of the k-valued and m-valued logics (k,m/spl ges/2). The Galois connection between the lattice of subalgebras P/sub k/xP/sub m/ and the lattice of subalgebras of the double-base invariant relations algebra (with operations of restricted first order calculus) is established. This is used to obtain a Slupecki type criterion for P/sub k/xP/sub m/ and to solve the completeness problem in P/sub k/xP/sub m/ (m/spl ges/2).<>

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Proceedings of 24th International Symposium on Multiple-Valued Logic (ISMVL'94)

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