A Language Model for SKA Sample Clauses

A Language Model for SKA. Similar to Kleene algebra, there is a language model for SKA [24]. P \ {∅} P Words over (Σ) = n(Σ) are called synchronous strings, and sets of synchronous strings are called synchronous languages. The standard language operations (sum, concatenation, Kleene closure) are also defined on synchronous languages. The synchronous product of synchronous languages K, L is given by: K × L = {u × v : u ∈ K, v ∈ L} where we define × inductively for u, v ∈ (Pn(Σ))∗ and x, y ∈ Pn(Σ), as follows: u × ε = u = ε × u and (x · u) × (y · v)= (x ∪ y) · (u × v) To define the language semantics for all elements in TSKA, we first give an interpretation of elements in TSL in terms of non-empty finite subsets of Σ.
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