On modal logics of partial recursive functionsстатья
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Дата последнего поиска статьи во внешних источниках: 2 мая 2018 г.
Аннотация:The classical propositional logic is known to be sound and complete with respect to the set semantics that interprets connectives as set operations. The paper extends propositional language by a new binary modality that corresponds to partial recursive function type constructor under the above interpretation. The cases of deterministic and non-deterministic functions are considered and for both of them semantically complete modal logics are described and decidability of these logics is established.