By Simon M. Lucas (auth.), José M. Sempere, Pedro García (eds.)
This publication constitutes the refereed complaints of the tenth overseas Colloquium on Grammatical Inference, ICGI 2010, held in Valencia, Spain, in September 2010. The 18 revised complete papers and 14 revised brief papers provided have been conscientiously reviewed and chosen from various submissions. the themes of the papers provided fluctuate from theoretical effects concerning the studying of alternative formal language periods (regular, context-free, context-sensitive, etc.) to software papers on bioinformatics, language modelling or software program engineering. in addition there are invited papers at the subject matters grammatical inference and video games and molecules, languages, and automata.
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Additional info for Grammatical Inference: Theoretical Results and Applications: 10th International Colloquium, ICGI 2010, Valencia, Spain, September 13-16, 2010. Proceedings
Sakakibara, Y. ) ICGI 2004. LNCS (LNAI), vol. 3264, pp. 16–27. Springer, Heidelberg (2004) 18. : A bibliographical study of grammatical inference. Pattern Recognition 38(9), 1332–1348 (2005) 19. : A learnable representation for syntax using residuated lattices. uk Abstract. The Syntactic Concept Lattice is a residuated lattice based on the distributional structure of a language; the natural representation based on this is a context sensitive formalism. Here we examine the possibility of basing a context free grammar (cfg) on the structure of this lattice; in particular by choosing non-terminals to correspond to concepts in this lattice.
1 When we reach a leaf, we know that the algorithm must terminate. Since K contains the strings of length 1, if our derivation is of the form X → a, then we know that the feature (l, r) will split it, since a ∈ X by construction. Lemma 2. Algorithm 4 works in polynomial time in |w| and |K|; and terminates with a set of features such that the derived grammar no longer generates w. Proof. We can prove that FindContext will always ﬁnd a context that splits a class of KK. Since we can have at most |K|2 equivalence classes, it will terminate after adding at most |K|2 new contexts.
Clark 3 Grammar We will use cfgs, which we deﬁne standardly as a tuple Σ, V, P, S ; where Σ is a non-empty ﬁnite set, the alphabet; V is a ﬁnite set of non-terminals disjoint from Σ, S is a distinguished element of V , the start symbol, and P is a ﬁnite set of productions of the form V × (Σ ∪ V )∗ ; we will write these as V → α. We will consider cfgs in Chomsky Normal Form, where all of the productions are either of the form N → a, N → λ or N → RS. We write the standard derivation as ∗ βN γ ⇒G βαγ, when N → α ∈ P and the transitive reﬂexive closure as ⇒G .
Grammatical Inference: Theoretical Results and Applications: 10th International Colloquium, ICGI 2010, Valencia, Spain, September 13-16, 2010. Proceedings by Simon M. Lucas (auth.), José M. Sempere, Pedro García (eds.)