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» A Rewriting Logic Sampler
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96
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GG
2004
Springer
15 years 5 months ago
Representing First-Order Logic Using Graphs
We show how edge-labelled graphs can be used to represent first-order logic formulae. This gives rise to recursively nested structures, in which each level of nesting corresponds ...
Arend Rensink
ALP
1997
Springer
15 years 4 months ago
Optimal Non-deterministic Functional Logic Computations
Abstract. We show that non-determinism simplifies coding certain problems into programs. We define a non-confluent, but well-behaved class of rewrite systems for supporting non-...
Sergio Antoy
103
Voted
CADE
1990
Springer
15 years 4 months ago
A Theorem Prover for a Computational Logic
We briefly review a mechanical theorem-prover for a logic of recursive functions over finitely generated objects including the integers, ordered pairs, and symbols. The prover, kn...
Robert S. Boyer, J. Strother Moore
111
Voted
LOPSTR
2007
Springer
15 years 6 months ago
Termination Analysis of Logic Programs Based on Dependency Graphs
This paper introduces a modular framework for termination analysis of logic programming. To this end, we adapt the notions of dependency pairs and dependency graphs (which were dev...
Manh Thang Nguyen, Jürgen Giesl, Peter Schnei...
109
Voted
TLCA
1999
Springer
15 years 4 months ago
Strong Normalisation of Cut-Elimination in Classical Logic
In this paper we present a strongly normalising cut-elimination procedure for classical logic. This procedure adapts Gentzen’s standard cut-reductions, but is less restrictive th...
Christian Urban, Gavin M. Bierman