We also show that if the language is not regular, Nondeterministic Xor Automata (NDA) can never accept it, because NDA would be able to accept every string in L, except the last. A regular language, however, can be considered as a Nondeterminable Xor Automata having an empty NDA. This allows to introduce a measure ? which is equal to the minimal number of states necessary to accept a given set of strings, together with a normal form MDA. We also show that MDA is in general the determinable form for L Reg if the domain is finite, the automaton is finite, and the MDA is deterministic. This property also holds for Xor Automata with any of the following properties: (1) the Xor automaton is determinable and can accept all strings; (2) the NDA belongs to one of two classes: an automaton with an empty NDA; or an automaton with an NDA whose domain has a finite size and is fully finite.
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Fuzzy Search: A Generative Theory of Programming Languages Mark Johnson, John-Thomas Wait, and Martin J. Rizzo theoretical computer science theory no abstract, PDF [PDF] Abstract This paper defines a generative theory of programming languages which can be used to evaluate theories of programming languages. The resulting theory can be understood as a theoretical framework that describes many aspects of programming, including how to encode and transform abstract syntax trees, how to program with recursive functions, how to define abstract data types, and how to generate programming. Abstract The idea that programmers can generate programs was first formulated by Alonzo Church and John McCarthy in their paper Compilers, Compilers, Compilers. However, the exact nature of these programs has often remained elusive, with no general algorithm in sight. This paper develops a framework for analyzing programming languages which can capture the fundamental principles of these programs and then provide a systematic methodology for formalizing those principles in symbolic terms. It is based on the notion of fuzzy matching, which in the context of this paper refers to the analysis and description of fuzzy strings. For these fuzzy strings we use a fuzzy match of “gibberish” to the actual language. The paper then gives an explanation of these principles and the techniques by which they are realized.
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Compact Normal Form for Regular Languages as Xor Automata Jean Villein and Nicolas Gama Cole normal sup Moore and INRIA, France e Abstract. The only presently known normal form for a regular language
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