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CSL
2008
Springer
13 years 10 months ago
Characterization of Logics over Ranked Tree Languages
We study the expressive power of the logics EF + F-1 , 2 and boolean combinations of 1 over ranked trees. In particular, we provide effective characterizations of those three logic...
Thomas Place
CSL
2008
Springer
13 years 10 months ago
The Computability Path Ordering: The End of a Quest
Abstract. In this paper, we first briefly survey automated termination proof methods for higher-order calculi. We then concentrate on the higher-order recursive path ordering, for ...
Frédéric Blanqui, Jean-Pierre Jouann...
CSL
2008
Springer
13 years 10 months ago
Quantitative Game Semantics for Linear Logic
We present a game-based semantic framework in which the time complexity of any IMELL proof can be read out of its interpretation. This gives a compositional view of the geometry of...
Ugo Dal Lago, Olivier Laurent
CSL
2010
Springer
13 years 9 months ago
The Complexity of Positive First-Order Logic without Equality II: The Four-Element Case
We study the complexity of evaluating positive equality-free sentences of first-order (FO) logic over fixed, finite structures B. This may be seen as a natural generalisation of th...
Barnaby Martin, Jos Martin
CSL
2010
Springer
13 years 9 months ago
On Slicewise Monotone Parameterized Problems and Optimal Proof Systems for TAUT
Abstract. For a reasonable sound and complete proof calculus for firstorder logic consider the problem to decide, given a sentence of firstorder logic and a natural number n, whet...
Yijia Chen, Jörg Flum