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词条 Decidable sublanguages of set theory
释义

  1. References

{{expert-subject|mathematics}}

In mathematical logic, various sublanguages of set theory are decidable.[1][2] These include:

  • Sets with Monotone, Additive, and Multiplicative Functions.[3]
  • Sets with restricted quantifiers.[4]

References

1. ^Cantone, D., E. G. Omodeo and A. Policriti, "Set Theory for Computing. From Decision Procedures to Logic Programming with Sets," Monographs in Computer Science, Springer, 2001.
2. ^"Decision procedures for elementary sublanguages of set theory: XIII. Model graphs, reflection and decidability", by Franco Parlamento and Alberto Policriti Journal of Automated Reasoning, Volume 7 , Issue 2 (June 1991), Pages: 271 - 284
3. ^"A Decision Procedure for a Sublanguage of Set Theory Involving Monotone, Additive, and Multiplicative Functions", by Domenico Cantone and et al.
4. ^"A tableau-based decision procedure for a fragment of set theory involving a restricted form of quantification", by Domenico Cantone, Calogero G. Zarba, Viale A. Doria, 1997

3 : Proof theory|Logic in computer science|Model theory

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