|
|
Abstraction of State Languages in Automata Algorithms
Chocholatý, David ; Síč, Juraj (oponent) ; Holík, Lukáš (vedoucí práce)
We explore possibilities of using various abstractions of finite automata languages in optimization of automata algorithms used in automata reasoning. We focus on abstracting languages of states to sets of accepted lengths of word or Parikh images, represented as semi-linear sets, and explore options of using them to optimize automata constructions by pruning states based on abstractions of their languages. We propose several abstractions and work on optimizing their performance. We use two common finite automata problems, synchronous product construction and deciding the emptiness of finite automata intersection, as benchmark problems on which we test our optimizations. Nevertheless, our abstractions are applicable on many other typical automata operations, e.g., complement generation etc. Our experiments show that the proposed optimizations reduce generated state space for both benchmark problems substantially.
|
|
|
Generic Template-Based Synthesis of Program Abstractions
Marušák, Matej ; Holík, Lukáš (oponent) ; Malík, Viktor (vedoucí práce)
The goal of this work is to design and to implement a generic strategy solver to the 2LS tool. 2LS is an analyser for a static verification of programs written in C language. A verified program is analysed by an SMT solver using abstract interpretation. Convertion from an abstract state of the program into a logical formula, that an SMT solver can work with, is done by a component called strategy solver. In the current implementation, there is one strategy solver for each abstract domain. Our approach introduces a single generic strategy solver, which makes creating new domains easier. Also, this approach enables migration of the existing domains and hence the codebase can be reduced.
|
|
|
Abstraction of State Languages in Automata Algorithms
Chocholatý, David ; Síč, Juraj (oponent) ; Holík, Lukáš (vedoucí práce)
We explore possibilities of using various abstractions of finite automata languages in optimization of automata algorithms used in automata reasoning. We focus on abstracting languages of states to sets of accepted lengths of word or Parikh images, represented as semi-linear sets, and explore options of using them to optimize automata constructions by pruning states based on abstractions of their languages. We propose several abstractions and work on optimizing their performance. We use two common finite automata problems, synchronous product construction and deciding the emptiness of finite automata intersection, as benchmark problems on which we test our optimizations. Nevertheless, our abstractions are applicable on many other typical automata operations, e.g., complement generation etc. Our experiments show that the proposed optimizations reduce generated state space for both benchmark problems substantially.
|
|
|
Generic Template-Based Synthesis of Program Abstractions
Marušák, Matej ; Holík, Lukáš (oponent) ; Malík, Viktor (vedoucí práce)
The goal of this work is to design and to implement a generic strategy solver to the 2LS tool. 2LS is an analyser for a static verification of programs written in C language. A verified program is analysed by an SMT solver using abstract interpretation. Convertion from an abstract state of the program into a logical formula, that an SMT solver can work with, is done by a component called strategy solver. In the current implementation, there is one strategy solver for each abstract domain. Our approach introduces a single generic strategy solver, which makes creating new domains easier. Also, this approach enables migration of the existing domains and hence the codebase can be reduced.
|
host ::
RSS.