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Symbolic Representation of Finite Automata
Chromečka, Jiří ; Vojnar, Tomáš (referee) ; Lengál, Ondřej (advisor)
In formal analysis we often encounter finite automata with a~large amount of states over large alphabets. Their explicit representation can result in a~state explosion and this problem can be solved by the use of symbolic representation that can manipulate a~whole set of states at once. The aim of this work is to extend the libVATA library to support such a~representation including algorithms for some operations on this representation. The presented text first deals with prerequisites necessary to undestand finite automata and binary decision diagrams used for their symbolic representation. Then it lists some existing libraries for work with finite automata. Next follows the core of this work, the~design of a~symbolic representation and operations on it, which are later implemented in the previously mentioned library. The test results proves that the symbolic representation is an interesting alternative to the explicit representation.
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A BDD Library
Troška, Karol ; Holík, Lukáš (referee) ; Lengál, Ondřej (advisor)
Binary decision program is a data structure used in many areas of information technology. This thesis describes BDD as a mathematical formalism and proposes possible representation of BDD in a computer. The propose is focused mainly on a reduction speed of number of memory allocation and on a simplicity and an intuitive system of using a library. There are several examples of a library usage and warnings which programmer should avoid of in the thesis. Proposed representation was implemented in C language.
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Symbolic Representation of Finite Automata
Chromečka, Jiří ; Vojnar, Tomáš (referee) ; Lengál, Ondřej (advisor)
In formal analysis we often encounter finite automata with a~large amount of states over large alphabets. Their explicit representation can result in a~state explosion and this problem can be solved by the use of symbolic representation that can manipulate a~whole set of states at once. The aim of this work is to extend the libVATA library to support such a~representation including algorithms for some operations on this representation. The presented text first deals with prerequisites necessary to undestand finite automata and binary decision diagrams used for their symbolic representation. Then it lists some existing libraries for work with finite automata. Next follows the core of this work, the~design of a~symbolic representation and operations on it, which are later implemented in the previously mentioned library. The test results proves that the symbolic representation is an interesting alternative to the explicit representation.
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A BDD Library
Troška, Karol ; Holík, Lukáš (referee) ; Lengál, Ondřej (advisor)
Binary decision program is a data structure used in many areas of information technology. This thesis describes BDD as a mathematical formalism and proposes possible representation of BDD in a computer. The propose is focused mainly on a reduction speed of number of memory allocation and on a simplicity and an intuitive system of using a library. There are several examples of a library usage and warnings which programmer should avoid of in the thesis. Proposed representation was implemented in C language.
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