Parallel Algorithmic Techniques: PRAM algorithms and PRAM simulations

Acknowledgments First, I would like to thank my advisor Friedhelm Meyer auf der Heide. He was a great advisor, collaborator, who greatly innuenced my research in Paderborn. I would like to thank Wojciech Rytter, my rst advisor during my stay in Warsaw, who took care through rst years of my research. He built basis for my research and advised me to work on parallel algorithms. I would like to thank Volker Stemann. We spent a lot of time on joint discussions and (fascinating) joint research. Special thanks to Leszek G asieniec. He always innuenced me by his fresh ideas and I beneeted greatly from many hours of joint discussions. Endre Szemer edi was always ready to discuss and to explain me the beauty of mathematics and theoretical computer science. His innuence is much beyond this what one can nd in the thesis. It was Krzysztof Diks who rst suggested to think about algorithms and computer science. He was always ready to discuss with me. Special thanks to Alan Gibbons for valuable discussions and his hospitality during my stay in Warwick. It was two and half year ago when Mirek Kutyy lowski suggested me to apply for studies in Paderborn. Since then we spent a lot of time discussing about research, Germany, and many other not less important aspects of life. I would like to thank my colleagues with whom I did the research: Bog-Most of all, I would like to thank my wife and daughter. Without their constant support, help and persistence I would never be able to nish the thesis.