This work deals with syntax analysis problems based on multi-generation. The basic idea is to create computer program, which transforms one input string to n -1 output strings. An Input of this program is some plain text file created by user, which contains n grammar rules. Just one grammar from the input file is marked as an input grammar and others n -1 grammars are output grammars. This program creates list of used input grammar rules for an input string and uses corresponding output grammar rules for the creation of n -1 output strings. The program is written in C++ and Bison

This work suggests and solves the implementation of the transformation of context-free grammars and the conversions between context-free grammars and pushdown automata. It makes acquainted with the models used in modern theory of formal languages. In the work are indicated all algorithms necessary for transformations and mutual conversions between context-free grammars and pushdown automata. Proposed is an object representing the grammar and the automaton in the programme. Described is the assigning of definitions of grammar and of the automaton, the solution of drawing the automaton on the screen and the creation of graphical user interface of the application. The resulting programme is developed as Jawa applet which is available on public internet pages www.convertcfg.php5.cz.

Information flow properties are away of specifying security properties of systems ,dating back to the work of Goguen and Meseguer in the eighties. In this framework ,a system is modeled as having high-level (or confidential)events as well as low-level (or public) events, and a typical property requires that the high-level events should not “influence ”the occurrence of low-level events. In other words, the sequence of low-level events observed from a system execution should not reveal “too much” information about the high-level events that may have taken place. For example, the trace-based “non-inference” property states that for every trace produced by the system, its projection to low-level events must also be a possible trace of the system. For a system satisfying non-inference, a low-level adversary (who knows the language generated by the system) viewing only the low-level events in any execution cannot infer any in-formation about the occurrence of high-level events in that execution. Other well-known properties include separability, generalized non-interference, non-deducibility of outputs etc. These properties are trace-based. Similarly there is another class of properties based on the structure of the transition system called bisimulation-based information flow properties, defined by Focardiand Gorrieriin1995. In our thesis we study the problem of model-checking the well-known trace-based and bisimulation-based properties for some popular classes of infinite-state system models. We first consider trace-based properties. We define some language-theoretic operations that help to characterize language-inclusion in terms of satisfaction of these properties. This gives us a reduction of the language inclusion problem for a class of system models, say F, to the model-checking problem for F, whenever F, is effectively closed under these language-theoretic operations. We apply this result to show that the model-checking problem for Petri nets, push down systems and for some properties on deterministic push down systems is undecidable. We also consider the class of visibly pushdown systems and show that their model-checking problem is undecidable in general(for some properties).Then we show that for the restricted class of visibly pushdown systems in which all the high (confidential) event are internal, the model-checking problem becomes decidable. Similarly we show that the problem of model-checking bisimulation-based properties is undecidable for Petrinets, pushdown systems and process algebras. Next we consider the problem of detecting information leakage in programs. Here the programs are modeled to have low and high inputs and low outputs. The well known definition of“ non-interference” on programs says that in no execution should the low outputs depend on the high inputs. However this definition was shown to be too strong to be used in practice, with a simple(and considered to be safe)“password-checking” program failing it.“Abstract non-interference(ANI)”and its variants were proposed in the literature to generalize or weaken non-interference. We call these definitions qualitative refinements of non-interference. We study the problem of model-checking many classes of finite-data programs(variables taking values from a bounded domain)for these refinements. We give algorithms and show that this problem is in PSPACE for while, EXPTIME for recursive and EXPSPACE for asynchronous finite-data programs. We finally study different quantitative refinements of non-interference pro-posed in the literature. We first characterize these measures in terms of pre images. These characterizations potentially help designing analysis computing over and under approximations for these measures. Then we investigate the applicability of these measures on standard cryptographic functions.

Recently, multi-priced timed automata have received much attention for real-time systems. These automata extend priced timed automata by featuring several price parameters. This permits to compute objectives like the optimal ratio between rewards and costs. Arising from the model of timed automata, the multi-weighted setting has also attracted much notice for classical nondeterministic automata. The present thesis develops multi-weighted MSO-logics on finite, infinite and timed words which are expressively equivalent to multi-weighted automata, and studies decision problems for them. In addition, a Nivat-like theorem for weighted timed automata is proved; this theorem establishes a connection between quantitative and qualitative behaviors of timed automata. Moreover, a logical characterization of timed pushdown automata is given.