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23,607
Formal Languages
, 1973
"... Close to 30 percent of all patents are chemical patents, of which roughly 10 percent claim IP rights over novel chemical structures using the Markush notation[1-5]. An example of an approved patent with claims on a series of 4-anilino-3-quinolinecarbonitriles-based chemical structures for the ..."
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Cited by 574 (41 self)
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Close to 30 percent of all patents are chemical patents, of which roughly 10 percent claim IP rights over novel chemical structures using the Markush notation[1-5]. An example of an approved patent with claims on a series of 4-anilino-3-quinolinecarbonitriles-based chemical structures for the
Heyting Algebras and Formal Languages
"... Abstract: By introducing a new operation, the exponentiation of formal languages, we can define Heyting algebras of formal languages. It turns out that some well known families of languages are closed under this exponentiation, e. g., the families of regular and of context-sensitive languages. ..."
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Abstract: By introducing a new operation, the exponentiation of formal languages, we can define Heyting algebras of formal languages. It turns out that some well known families of languages are closed under this exponentiation, e. g., the families of regular and of context-sensitive languages.
Analogy and Formal Languages
- In Proceedings of FG/MOL 2001
, 2001
"... In this paper, we advocate a study of analogies between strings of symbols for their own sake. We show how some sets of strings, i.e., some formal languages, may be characterized by use of analogies. We argue that some preliminary \good properties" obtained may plead in favour of the use of ana ..."
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Cited by 9 (2 self)
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In this paper, we advocate a study of analogies between strings of symbols for their own sake. We show how some sets of strings, i.e., some formal languages, may be characterized by use of analogies. We argue that some preliminary \good properties" obtained may plead in favour of the use
Automata and Formal Languages
, 2003
"... This article provides an introduction to the theory of automata and formal languages. The elements are presented in a historical perspective and the links with other areas are underlined. In particular, applications of the field to linguistics, software design, text processing, computational alg ..."
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This article provides an introduction to the theory of automata and formal languages. The elements are presented in a historical perspective and the links with other areas are underlined. In particular, applications of the field to linguistics, software design, text processing, computational
Formal languages and groups as memory
, 2006
"... Abstract. We present an exposition of the theory of M-automata and G-automata, or finite automata augmented with a multiply-only register storing an element of a given monoid or group. Included are a number of new results of a foundational nature. We illustrate our techniques with a group-theoretic ..."
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Cited by 11 (4 self)
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-theoretic interpretation and proof of a key theorem of Chomsky and Schützenberger from formal language theory. 1.
Number Theory And Formal Languages
- Emerging Applications of Number Theory, IMA Volumes in Mathematics and Applications
, 1999
"... . I survey some of the connections between formal languages and number theory. Topics discussed include applications of representation in base k, representation by sums of Fibonacci numbers, automatic sequences, transcendence in finite characteristic, automatic real numbers, fixed points of homomorp ..."
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Cited by 1 (1 self)
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. I survey some of the connections between formal languages and number theory. Topics discussed include applications of representation in base k, representation by sums of Fibonacci numbers, automatic sequences, transcendence in finite characteristic, automatic real numbers, fixed points
Harmonic Grammars for Formal Languages
"... Basic connectionist principles imply that grammars should take the form of systems of parallel soft constraints defining an optimization problem the solutions to which are the well-formed structures in the language. Such Harmonic Grammars have been successfully applied to a number of problems in the ..."
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Cited by 1 (1 self)
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in the theory of natural languages. Here it is shown that formal languages too can be specified by Harmonic Grammars, rather than by conventional serial re-write rule systems.
Enumeration of Formal Languages
"... We survey recent results on the enumeration of formal languages. In particular, we consider enumeration of regular languages accepted by deterministic and nondeterministic finite automata with n states, regular languages generated by regular expressions of a fixed length, and ω-regular languages acc ..."
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We survey recent results on the enumeration of formal languages. In particular, we consider enumeration of regular languages accepted by deterministic and nondeterministic finite automata with n states, regular languages generated by regular expressions of a fixed length, and ω-regular languages
Fractals, Dimension, And Formal Languages
"... We consider classes of sets of r-adic expansions of reals specified by means of the theory of formal languages or automata theory. It is shown how these specifications are used to calculate the Hausdorff dimension and Hausdorff measure of such sets. Since the appearence of Mandelbrot's 11 ..."
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Cited by 5 (4 self)
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We consider classes of sets of r-adic expansions of reals specified by means of the theory of formal languages or automata theory. It is shown how these specifications are used to calculate the Hausdorff dimension and Hausdorff measure of such sets. Since the appearence of Mandelbrot's 11
Results 1 - 10
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23,607
