Finite Model Theory of the Triguarded Fragment and Related Logics

The Triguarded Fragment (TGF) is among the most expressive decidable fragments of first-order logic, subsuming both its two-variable and guarded fragments without equality. We show that the TGF has the finite model property (providing a tight doubly exponential bound on the model size) and hence fin...

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Published in:Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science pp. 1 - 13
Main Authors: Kieronski, Emanuel, Rudolph, Sebastian
Format: Conference Proceeding
Language:English
Published: IEEE 29.06.2021
Subjects:
Complexity theory
Computational efficiency
Computer science
Upper bound
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Abstract The Triguarded Fragment (TGF) is among the most expressive decidable fragments of first-order logic, subsuming both its two-variable and guarded fragments without equality. We show that the TGF has the finite model property (providing a tight doubly exponential bound on the model size) and hence finite satisfiability coincides with satisfiability known to be N2ExpTime-complete. Using similar constructions, we also establish 2ExpTime-completeness for finite satisfiability of the constant-free (tri)guarded fragment with transitive guards.
AbstractList The Triguarded Fragment (TGF) is among the most expressive decidable fragments of first-order logic, subsuming both its two-variable and guarded fragments without equality. We show that the TGF has the finite model property (providing a tight doubly exponential bound on the model size) and hence finite satisfiability coincides with satisfiability known to be N2ExpTime-complete. Using similar constructions, we also establish 2ExpTime-completeness for finite satisfiability of the constant-free (tri)guarded fragment with transitive guards.
Author Rudolph, Sebastian
Kieronski, Emanuel
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  email: emanuel.kieronski@cs.uni.wroc.pl
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  givenname: Sebastian
  surname: Rudolph
  fullname: Rudolph, Sebastian
  email: sebastian.rudolph@tu-dresden.de
  organization: Technische Universität Dresden,Computational Logic Group
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Snippet The Triguarded Fragment (TGF) is among the most expressive decidable fragments of first-order logic, subsuming both its two-variable and guarded fragments...
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SubjectTerms Complexity theory
Computational efficiency
Computer science
Upper bound
Title Finite Model Theory of the Triguarded Fragment and Related Logics
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