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» Finitary Partial Inductive Definitions as a General Logic
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ELP
1993
13 years 8 months ago
Finitary Partial Inductive Definitions as a General Logic
We describe how the calculus of partial inductive definitions is used to represent logics. This calculus includes the powerful principle of definitional reflection. We describe two...
Lars-Henrik Eriksson
CADE
1994
Springer
13 years 8 months ago
Pi: an Interactive Derivation Editor for the Calculus of Partial Inductive Definitions
Pi is a system for the interactive construction and editing of formal derivations in the calculus of finitary partial inductive definitions. This calculus can be used as a logical ...
Lars-Henrik Eriksson
JAR
2010
122views more  JAR 2010»
12 years 11 months ago
Partial and Nested Recursive Function Definitions in Higher-order Logic
Based on inductive definitions, we develop a tool that automates the definition of partial recursive functions in higher-order logic (HOL) and provides appropriate proof rules for ...
Alexander Krauss
LOGCOM
2010
102views more  LOGCOM 2010»
13 years 3 months ago
A Note on Expressive Coalgebraic Logics for Finitary Set Functors
This paper has two purposes. The first is to present a final coalgebra construction for finitary endofunctors on Set that uses a certain subset L∗ of the limit L of the firs...
Lawrence S. Moss
CADE
2006
Springer
14 years 4 months ago
Partial Recursive Functions in Higher-Order Logic
Abstract. Based on inductive definitions, we develop an automated tool for defining partial recursive functions in Higher-Order Logic and providing appropriate reasoning tools for ...
Alexander Krauss