Selected article for: "class size and small class size"
Author: Bonacina, Maria Paola; Winkler, Sarah
Title: SGGS Decision Procedures
  • Cord-id: d0l20uz9
  • Document date: 2020_5_30
    • ID: d0l20uz9
    Snippet: SGGS (Semantically-Guided Goal-Sensitive reasoning) is a conflict-driven first-order theorem-proving method which is refutationally complete and model complete in the limit. These features make it attractive as a basis for decision procedures. In this paper we show that SGGS decides the stratified fragment which generalizes EPR, the PVD fragment, and a new fragment that we dub restrained. The new class has the small model property, as the size of SGGS-generated models can be upper-bounded, and i
    Document: SGGS (Semantically-Guided Goal-Sensitive reasoning) is a conflict-driven first-order theorem-proving method which is refutationally complete and model complete in the limit. These features make it attractive as a basis for decision procedures. In this paper we show that SGGS decides the stratified fragment which generalizes EPR, the PVD fragment, and a new fragment that we dub restrained. The new class has the small model property, as the size of SGGS-generated models can be upper-bounded, and is also decided by hyperresolution and ordered resolution. We report on experiments with a termination tool implementing a restrainedness test, and with an SGGS prototype named Koala.

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