3552 search results - page 2 / 711 » Proof theory in the abstract |
TLCA
2009
Springer
14 years 24 days ago
2009
Springer
Abstract. We investigate the question of what constitutes a proof when quantifiers and multiplicative units are both present. On the technical level this paper provides two new as...
JAR
2007
13 years 6 months ago
2007
Abstract. We illustrate a methodology for formalizing and reasoning about Abadi and Cardelli’s object-based calculi, in (co)inductive type theory, such as the Calculus of (Co)Ind...
CORR
2002
Springer
13 years 6 months ago
2002
Springer
Abstract. The four authors present their speculations about the future developments of mathematical logic in the twenty-first century. The areas of recursion theory, proof theory a...
CADE
2006
Springer
14 years 6 months ago
2006
Springer
Abstract. We describe a second-order type theory with proof irrelevance. Within this framework, we give a representation of a form of Mac Lane set theory and discuss automated supp...
CADE
2006
Springer
14 years 6 months ago
2006
Springer
Abstract. We introduce a semi-automated proof system for basic category-theoretic reasoning. It is based on a first-order sequent calculus that captures the basic properties of cat...