Titlebook: Logic Programming and Automated Reasoning; 6th International Co Harald Ganzinger,David McAllester,Andrei Voronkov Conference proceedings 19

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Logic Programming and Automated Reasoning978-3-540-48242-0Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/l/image/588007.jpg

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On the Complexity of Counting the Hilbert Basis of a Linear Diophantine Systemand upper bounds on the complexity of this problem by showing that counting the Hilbert basis is #P-hard and belongs to the class #NP. Moreover, we investigate the complexity of variants obtained by restricting the number of occurrences of the variables in the system.

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Cancellative Superposition Decides the Theory of Divisible Torsion-Free Abelian Groupsriable elimination algorithm that transforms every clause into an equivalent clause without unshielded variables. We show that the resulting calculus is not only refutationally complete (even in the presence of arbitrary free function symbols), but that it is also a decision procedure for the theory of divisible torsion-free abelian groups.

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First Order Linear Temporal Logic over Finite Time Structuresn [.], is that of explicitly denoting time points and having tableau nodes labelled by either expressions intuitively stating that a formula holds in a given temporal interval, or “temporal constraints”, i.e. linear inequalities on time points. Branch closure is reduced to unsatisfiability over the

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