Download STACS 2004: 21st Annual Symposium on Theoretical Aspects of by Claire Kenyon (auth.), Volker Diekert, Michel Habib (eds.) PDF

By Claire Kenyon (auth.), Volker Diekert, Michel Habib (eds.)

This booklet constitutes the refereed lawsuits of the twenty first Annual Symposium on Theoretical points of computing device technology, STACS 2004, held in Montpellier, France, in March 2004.

The fifty four revised complete papers offered including invited contributions have been conscientiously reviewed and chosen from greater than two hundred submissions. The papers are geared up in topical sections on structural complexity, graph algorithms, quantum computing, satisfiability - constraint delight difficulties, scheduling, algorithms, networks, automata thought and phrases, course algorithms, cryptography, good judgment and formal languages, video game concept and complexity, and algorithmic details.

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Extra info for STACS 2004: 21st Annual Symposium on Theoretical Aspects of Computer Science, Montpellier, France, March 25-27, 2004. Proceedings

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Then there is a c ∈ V such that: 40 B. Schwarz P Σ c2k−1,V is ≤log m -complete for Σ 2k−1 , P Π c2k,V is ≤log m -complete for Π 2k , and QAFcV is ≤log m -complete for PSPACE. Proof. The proof of Theorem 9 does not need the formula F to be in 3CNF. It is sufficient, that F is simple. We obtain the V -formula H0 from a simple instance F by replacing every literal xi by f (xi ) and replacing every literal ¬xi by f (xn+i ). So let Q1 · · · Qn F (x1 , . . , xn ) be an instance of SQBF. We are now using the notations of the proof of Theorem 9, in particular the elements c , c ∨ b ∈ V , the function f , and the V -formula H(x1 , .

For a fixed algebra A = (A, M ) and a ∈ A we define the following evaluation, tautology, satisfiability and counting problems: VALaA =df {(F, w) | F ∈ F(A), w ∈ AnF , F (w) = a}. VALA =df {(F, w, b) | (F, w) ∈ VALbA }. TAUTaA =df {F ∈ F(A) | ∀w ∈ AnF : F (w) = a}. TAUTA =df {(F, b) | F ∈ TAUTbA }. SATaA =df {F ∈ F(A) | ∃w ∈ AnF : F (w) = a}. SATA =df {(F, b) | F ∈ SATbA }. #aA : F(A) → N : F → #{w ∈ AnF | F (w) = a}. #A : F(A) × A → N : (F, b) → #bA (F ). The Complexity of Satisfiability Problems over Finite Lattices 33 If we have a sequence of quantifiers Q1 , .

The Scottish Book. Mathematics from the Scottish Caf´ e, Birkh¨ auser, 1981. 16. A. Mostowski, Games with forbidden positions, Tech. Rep. Tech. Report 78, University of Gdansk, 1991. 17. M. Pistore and M. Vardi, The planning spectrum — one, two, three, infinity, in Proc. 18th IEEE Symp. on Logic in Computer Science, 2003. 18. J. Swift, Gulliver’s Travels, George Routledge & Sons, London, 1906. First published in 1726. 19. W. Thomas, On the synthesis of strategies in infinite games, in Proceedings of STACS 95, Lecture Notes in Computer Science Nr.

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