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91
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CADE
2008
Springer
16 years 1 months ago
THF0 - The Core of the TPTP Language for Higher-Order Logic
One of the keys to the success of the Thousands of Problems for Theorem Provers (TPTP) problem library and related infrastructure is the consistent use of the TPTP language. This p...
Christoph Benzmüller, Florian Rabe, Geoff Sut...
LATA
2009
Springer
15 years 7 months ago
Monadic Second-Order Logic for Graphs: Algorithmic and Language Theoretical Applications
This tutorial will present an overview of the use of Monadic Second-Order Logic to describe sets of finite graphs and graph transformations, in relation with the notions of tree-w...
Bruno Courcelle
83
Voted
ECSQARU
2007
Springer
15 years 6 months ago
Language Invariance and Spectrum Exchangeability in Inductive Logic
A sufficient condition is given for a probability function in Inductive Logic (with relations of all arities) satisfying spectrum exchangeability to additionally satisfy Language ...
Jürgen Landes, Jeff B. Paris, Alena Vencovsk&...
97
Voted
CSL
2005
Springer
15 years 6 months ago
The Modular Decomposition of Countable Graphs: Constructions in Monadic Second-Order Logic
We show that the modular decomposition of a countable graph can be defined from this graph, given with an enumeration of its set of vertices, by formulas of Monadic Second-Order l...
Bruno Courcelle, Christian Delhommé
77
Voted
ICALP
2010
Springer
15 years 5 months ago
On p-Optimal Proof Systems and Logics for PTIME
We prove that TAUT has a p-optimal proof system if and only if a logic related to least fixed-point logic captures polynomial time on all finite structures. Furthermore, we show ...
Yijia Chen, Jörg Flum