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Planning algorithms and plan simulation in logistics domain
Štefan, Zdeněk ; Toropila, Daniel (advisor) ; Valla, Tomáš (referee)
The goal of this thesis is to compare some means of planning in the logistics domain.The aim was to compare the capabilities of those techniques among each other and against plans designed by humans.Because some planners do not return parallel plans,it is necessary to parallelize them.It is shown that some algorithms achieve good results in comparison to plans designed by hu- mans. However, due to their high time and memory consumptions they cannot be nowadays commonly used to solve more difficult tasks.
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Finding Minimum Satisfying Assignments of Boolean Formulas
Švancara, Jiří ; Balyo, Tomáš (advisor) ; Trunda, Otakar (referee)
In this thesis we examine algorithms and techniques used for solving Boolean satisfiability (SAT). Then we inspect the possibility to use them in solving the weighted short SAT problem, which is a generalization of the satisfiability problem. Given that each variable has a weight, this generalization is the problem of finding a satisfying truth assignment while using the smallest sum of weights. To solve this problem, we introduce three truth assignments of variables - True, False and Unassign. We show that not all algorithms and techniques used in modern SAT solvers can be used in our program. Those that can be converted, will be implemented using our three truth assignments. This will yield several versions of our new solver, which will be compared. Powered by TCPDF (www.tcpdf.org)
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Structured problems for SAT
Klátil, Jan ; Hric, Jan (advisor) ; Kučera, Petr (referee)
Title: Structured problems for SAT Author: Jan Klátil Department: Department of Theoretical Computer Science and Mathematical Logic Supervisor: RNDr. Jan Hric, Department of Theoretical Computer Science and Mathematical Logic Abstract: Aim of this thesis is to implement generator of unstructured data of CSP model RB in format XCSP and several other generators of structured data in formats XCSP and DIMACS, which are based on problems of placing N-Queens, finding Hamiltonian cycle and dividing set of integers into two distinct subsets with equal sum. We compare generated data in both XCSP and DIMACS format based on same problem by comparing time spent by SAT solver RSAT solving this data. Both forced satisfiable and unsatisfiable data and joined unstructured a structured data in XCSP format were compared in this thesis. Keywords: structured problems, SAT 1
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Polynomial equations over finite fields and algebraic cryptanalysis
Seidl, Jan ; Stanovský, David (advisor) ; Drápal, Aleš (referee)
Title: Polynomial equations over finite fields and algebraic cryptanalysis Author: Jan Seidl Department: Department of Algebra Supervisor: doc. RNDr. David Stanovský, Ph.D., Department of Algebra Abstract: The present work deals with the procedure of algebraic crypta- nalysis, in which the problem of breaking cipher is at first converted to the problem of finding solutions to polynomial systems of equations and then the problem of finding a solution to this equation is converted to the SAT problem. The work specifically describes the methods that allow you to con- vert the problem of breaking cipher RC4 to the SAT problem. The individual methods were programmed in Mathematica programming language and then applied to RC4 with a word length of 2, 3. For finding of satisfiable evaluation of the resulting logical formula was used SAT-solver CryptoMiniSAT. In case of RC4 with word length 2 the solution was reached in the range from 0.09 to 0.34 second. In case of RC4 with word length 3 the solution was reached in the range from 1.10 to 1.23 second. Keywords: RC4, SAT, CryptoMiniSAT 1
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Classes of Boolean Formulae with effectively soluable SAT.
Vlček, Václav
This work studies classes of Boolean formulae with polynomially solvable satsiability problem (SAT). It investigates the behavior of these classes with respect to basic operation with formulae (variable and literal complementation, deletition of a literal or a clause, partial assignment and joining formulae). Furthermore the work studies recognition problems for a formula and a given class of functions, satisability testing, and mutual relations of the studied classes with respect to inclusion.
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Compilation-based Approaches for Automated Planning
Pantůčková, Kristýna ; Barták, Roman (advisor) ; Chrpa, Lukáš (referee)
One of the possible approaches to automated planning is compilation to sat- isfiability or constraint satisfaction. Compilation enables to take advantage of the advancement of SAT or CSP solvers. In this thesis, we implement three of the encodings recently proposed for compilation of planning problems: the model TCPP, the R2 ∃-Step encoding and the Reinforced Encoding. All these approaches search for parallel plans; however, since they use different definitions of parallel step and different variables and constraints, we decided to compare their per- formance on standard benchmarks from international planning competitions. As the R2 ∃-Step encoding was not suitable for our implementation, we present a mod- ified version of this encoding with a reduced number of variables and constraints. We also demonstrate how different definitions of parallel step in the Reinforced Encoding affect the performance. Furthermore, we suggest redundant constraints extending these encodings. Although they did not prove to be beneficial in gen- eral, they could slightly improve the performance on some benchmarks, especially in the R2 ∃-Step encoding.
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Visualization of Tactile and Aural Sensations
Lukš, Roman ; Zachariáš, Michal (referee) ; Polok, Lukáš (advisor)
The purpose of this thesis is to design and implement visualization of aural and tactile sensations in the real-time. Sensations are to replace vision in simple 2D platform game. Visualizations are implemented on GPU. Vizualization of aural sensations implement computationally lightweight explicit method. Vizualization of tactile sensations are implemented as the animated lines. OpenGL is used to draw graphic output. Functional game prototype with vizualization of these two sensations is the output of this thesis.
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Rigid Body Simulation
Leitner, Denis ; Milet, Tomáš (referee) ; Chlubna, Tomáš (advisor)
This thesis deals with rigid body physics simulation in real time. It describes basic methods for collision detection between convex polyhedra, solving collisions and simulation of rigid body dynamics used in game development. Work also describes design and implementation of rigid body simulator written in C++ using OpenGL for rendering.
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Application of SAT Solvers in Circuit Optimization Problem
Minařík, Vojtěch ; Mrázek, Vojtěch (referee) ; Vašíček, Zdeněk (advisor)
This thesis is focused on the task of application of SAT problem and it's modifications in area of evolution logic circuit development. This task is supposed to increase speed of evaluating candidate circuits by fitness function in cases where simulation usage fails. Usage of SAT and #SAT problems make evolution of complex circuits with high input number significantly faster. Implemented solution is based on #SAT problem. Two applications were implemented. They differ by the approach to checking outputs of circuit for wrong values. Time complexity of implemented algorithm depends on logical complexity of circuit, because it uses logical formulas and it's satisfiability to evaluate logic circuits.
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Modeling of Cooperative Path Finding
Ježek, Milan ; Surynek, Pavel (advisor) ; Majerech, Vladan (referee)
In this thesis we describe new models for solving the cooperative pathfinding (cpf) with the requirement of minimal makespan and experimental comparison with current models is performed. These new models investigate the possibilities of encoding the cpf problem into binary integer programming (bip) or constraint satisfaction problem (csp). Mainly the new active-edges IP model tests with high number of agents yielded good results, where it fell only slightly behind the best SAT model. A new csp model reached the fastest times in tests with low number of obstacles and agent interactions while struggling heavily in the opposite cases. Powered by TCPDF (www.tcpdf.org)
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