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» On theorem proving in annotated logics
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ENTCS
2002
121views more  ENTCS 2002»
14 years 9 months ago
Modal Predicates and Co-equations
We show how coalgebras can be presented by operations and equations. This is a special case of Linton's approach to algebras over a general base category X, namely where X is...
Alexander Kurz, Jirí Rosický
SLOGICA
2010
138views more  SLOGICA 2010»
14 years 8 months ago
Extensionality and Restriction in Naive Set Theory
Abstract. The naive set theory problem is to begin with a full comprehension axiom, and to find a logic strong enough to prove theorems, but weak enough not to prove everything. T...
Zach Weber
ICFP
2005
ACM
15 years 9 months ago
Translating specifications from nominal logic to CIC with the theory of contexts
We study the relation between Nominal Logic and the Theory of Contexts, two approaches for specifying and reasoning about datatypes with binders. We consider a natural-deduction s...
Marino Miculan, Ivan Scagnetto, Furio Honsell
CADE
1998
Springer
15 years 1 months ago
Admissibility of Fixpoint Induction over Partial Types
Partial types allow the reasoning about partial functions in type theory. The partial functions of main interest are recursively computed functions, which are commonly assigned ty...
Karl Crary
ACL2
2006
ACM
15 years 3 months ago
Reasoning about ACL2 file input
We introduce the logical story behind file input in ACL2 and discuss the types of theorems that can be proven about filereading operations. We develop a low level library for re...
Jared Davis