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» On Automating the Calculus of Relations
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107
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CADE
2009
Springer
16 years 1 months ago
Decidability Results for Saturation-Based Model Building
Abstract. Saturation-based calculi such as superposition can be successfully instantiated to decision procedures for many decidable fragments of first-order logic. In case of termi...
Matthias Horbach, Christoph Weidenbach
106
Voted
LICS
2009
IEEE
15 years 7 months ago
Indexed Containers
The search for an expressive calculus of datatypes in which canonical algorithms can be easily written and proven correct has proved to be an enduring challenge to the theoretical ...
Thorsten Altenkirch, Peter Morris
LPNMR
2009
Springer
15 years 7 months ago
A Deductive System for FO(ID) Based on Least Fixpoint Logic
Abstract. The logic FO(ID) uses ideas from the field of logic programming to extend first order logic with non-monotone inductive definitions. The goal of this paper is to exten...
Ping Hou, Marc Denecker
119
Voted
LICS
2007
IEEE
15 years 7 months ago
Principles of Superdeduction
In predicate logic, the proof that a theorem P holds in a theory Th is typically conducted in natural deduction or in the sequent calculus using all the information contained in t...
Paul Brauner, Clément Houtmann, Claude Kirc...
110
Voted
WOLLIC
2007
Springer
15 years 6 months ago
Symmetries in Natural Language Syntax and Semantics: The Lambek-Grishin Calculus
In this paper, we explore the Lambek-Grishin calculus LG: a symmetric version of categorial grammar based on the generalizations of Lambek calculus studied in Grishin [1]. The voca...
Michael Moortgat