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MKM
2007
Springer
14 years 1 months ago
Formal Representation of Mathematics in a Dependently Typed Set Theory
Abstract. We have formalized material from an introductory real analysis textbook in the proof assistant Scunak. Scunak is a system based on set theory encoded in a dependent type ...
Feryal Fulya Horozal, Chad E. Brown
ICTAC
2004
Springer
14 years 28 days ago
A Calculus for Shapes in Time and Space
We present a spatial and temporal logic based on Duration Calculus for the specification and verification of mobile real-time systems. We demonstrate the use of the formalism and...
Andreas Schäfer
ASIAN
2006
Springer
91views Algorithms» more  ASIAN 2006»
13 years 11 months ago
A Type-Theoretic Framework for Formal Reasoning with Different Logical Foundations
Abstract. A type-theoretic framework for formal reasoning with different logical foundations is introduced and studied. With logic-enriched type theories formulated in a logical fr...
Zhaohui Luo
CADE
2001
Springer
14 years 7 months ago
Canonical Propositional Gentzen-Type Systems
Canonical propositional Gentzen-type systems are systems which in addition to the standard axioms and structural rules have only pure logical rules with the subformula property, in...
Arnon Avron, Iddo Lev
POPL
1991
ACM
13 years 11 months ago
Polymorphic Type Inference and Assignment
We present a new approach to the polymorphic typing of data accepting in-place modification in ML-like languages. This approach is based on restrictions over type generalization,...
Xavier Leroy, Pierre Weis