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A Guarded Fragment for Abstract State Machines
Journal of Logic, Language and Information, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Guarded Fragments with Constants
Journal of Logic, Language and Information, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
FRANCESCHET, Massimo, B. TEN CATE
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Interpolation and Definability in Guarded Fragments
Studia Logica, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eva Hoogland, Maarten Marx
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On Finite Satisfiability of the Guarded Fragment with Equivalence or Transitive Guards
2007The guarded fragment of first-order logic, GF, enjoys the finite model property, so the satisfiability and the finite satisfiability problems coincide. We are concerned with two extensions of the two-variable guarded fragment that do not possess the finite model property, namely, GF2 with equivalence and GF2 with transitive guards.
Emanuel Kieronski, Lidia Tendera
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On the decision problem for the guarded fragment with transitivity
Proceedings 16th Annual IEEE Symposium on Logic in Computer Science, 2002The guarded fragment with transitive guards, [GF+TG], is an extension of GF in which certain relations are required to be transitive, transitive predicate letters appear only in guards of the quantifiers and the equality symbol may appear everywhere. We prove that the decision problem for [GF+TG] is decidable.
Wieslaw Szwast, Lidia Tendera
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Combining Theories: The Ackerman and Guarded Fragments
2011Combination of decision procedures is at the heart of Satisfiability Modulo Theories (SMT) solvers. It provides ways to compose decision procedures for expressive languages which mix symbols from various decidable theories. Typical combinations include (linear) arithmetic, uninterpreted symbols, arrays operators, etc. In a previous paper we showed that
Carlos Areces, Pascal Fontaine
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The two-variable guarded fragment with transitive relations
Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158), 2003We consider the restriction of the guarded fragment to the two-variable case where, in addition, binary relations may be specified as transitive. We show that (i) this very restricted form of the guarded fragment without equality is undecidable and that (ii) when allowing non-unary relations to occur only in guards, the logic becomes decidable.
Ganzinger, H., Meyer, C., Veanes, M.
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A superposition decision procedure for the guarded fragment with equality
Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158), 2003We give a new decision procedure for the guarded fragment with equality. The procedure is based on resolution with superposition. We argue that this method will be more useful in practice than methods based on the enumeration of certain finite structures.
Ganzinger, H., de Nivelle, H.
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A Tableau Algorithm for the Clique Guarded Fragment
2000Aus der Einleitung: „The Guarded Fragment of first-order logic, introduced by Andréka, van Benthem, and Németi, has been a succesful attempt to transfer many good properties of modal, temporal, and description logics to a larger fragment of predicate logic. Among these are decidability, the finite modal property, invariance under an appropriate variant
Colin Hirsch, Stephan Tobies
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