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» Monotonicity in Calculational Proofs
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CORR
2010
Springer
119views Education» more  CORR 2010»
13 years 6 months ago
Computational Complexity of Avalanches in the Kadanoff two-dimensional Sandpile Model
In this paper we prove that the avalanche problem for the Kadanoff sandpile model (KSPM) is P-complete for two-dimensions. Our proof is based on a reduction from the monotone circ...
Eric Goles Chacc, Bruno Martin
AIIA
1999
Springer
13 years 11 months ago
Labelled Tableaux for Non-normal Modal Logics
In this paper we show how to extend KEM, a tableau-like proof system for normal modal logic, in order to deal with classes of non-normal modal logics, such as monotonic and regular...
Guido Governatori, Alessandro Luppi
CORR
2007
Springer
97views Education» more  CORR 2007»
13 years 7 months ago
Unfolding Restricted Convex Caps
This paper details an algorithm for unfolding a class of convex polyhedra, where each polyhedron in the class consists of a convex cap over a rectangular base, with several restri...
Joseph O'Rourke
BSL
2008
98views more  BSL 2008»
13 years 7 months ago
A Natural Axiomatization of Computability and Proof of Church's Thesis
Church's Thesis asserts that the only numeric functions that can be calculated by effective means are the recursive ones, which are the same, extensionally, as the Turingle nu...
Nachum Dershowitz, Yuri Gurevich
FROCOS
2000
Springer
13 years 11 months ago
Non-Trivial Symbolic Computations in Proof Planning
Abstract. We discuss a pragmatic approach to integrate computer algebra into proof planning. It is based on the idea to separate computation and veri cation and can thereby exploit...
Volker Sorge