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FROCOS
2007
Springer
15 years 6 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
ASIAN
2004
Springer
78views Algorithms» more  ASIAN 2004»
15 years 5 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»
14 years 12 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...
JIIS
2008
104views more  JIIS 2008»
14 years 11 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 3 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...