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Encyclopedia > Decidable

The word decidable has formal meaning in computability theory, the theory of formal languages, and mathematical logic.


  Results from FactBites:
 
Ian Hodkinson: monodic fragments of first-order temporal logic (908 words)
This paper proves decidability of satisfiability of sentences of the monodic packed fragment of first-order temporal logic with equality and connectives Until and Since, in models with various flows of time and domains of arbitrary cardinality.
The aim of this paper is to summarize and analyze some results obtained in 2000--2001 about decidable and undecidable fragments of various first-order temporal logics, give some applications in the field of knowledge representation and reasoning, and attract the attention of the `temporal community' to a number of interesting open problems.
Decidable and undecidable fragments of first-order branching temporal logics
Citations: A decidable class of bounded recursions - Naughton, Sagiv (ResearchIndex) (980 words)
Another corollary of the two theorems is that stability of a query with conjuncts and disjuncts is also decidable, since such a query can be translated into an equivalent UCQ.
A decidability undecidability border, for cases of different syntactical restrictions and semantical assumptions has been studied in many papers, including [S85] CK86] A89] CGKV88] GMSV93] HKMV91] V88] and [W95] The syntactical restrictions considered were: number of recursive rules....
The decidability undecidability border, for cases of different syntactical restrictions and semantical assumptions has been studied in [20] 5] 2] 6] 8] 9] 24] 23] The syntactical restrictions considered were: number of rules or of recursive rules in the program, maximal arity of....
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