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139
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FROCOS
2007
Springer
15 years 8 months ago
Hierarchical and Modular Reasoning in Complex Theories: The Case of Local Theory Extensions
Abstract. We present an overview of results on hierarchical and modular reasoning in complex theories. We show that for a special type of extensions of a base theory, which we call...
Viorica Sofronie-Stokkermans
89
Voted
ASIAN
2004
Springer
78views Algorithms» more  ASIAN 2004»
15 years 7 months ago
A Simple Theory of Expressions, Judgments and Derivations
We propose a simple theory of expressions which is intended to be used as a foundational syntactic structure for the Natural Framework (NF). We define expression formally and give...
Masahiko Sato
CORR
2008
Springer
104views Education» more  CORR 2008»
15 years 1 months ago
Graphical Presentations of Symmetric Monoidal Closed Theories
Abstract. We define a notion of symmetric monoidal closed (smc) theory, consisting of a smc signature augmented with equations, and describe the classifying categories of such theo...
Richard H. G. Garner, Tom Hirschowitz, Auré...
107
Voted
JIIS
2008
104views more  JIIS 2008»
15 years 1 months ago
A framework for checking proofs naturally
We propose a natural framework, called NF, which supports development of formal proofs on a computer. NF is based on a theory of Judgments and Derivations. NF is designed by observ...
Masahiko Sato
CADE
1990
Springer
15 years 5 months ago
IMPS: An Interactive Mathematical Proof System
imps is an Interactive Mathematical Proof System intended as a general purpose tool for formulating and applying mathematics in a familiar fashion. The logic of imps is based on a...
William M. Farmer, Joshua D. Guttman, F. Javier Th...