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» Automated Proof Construction in Type Theory Using Resolution
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CORR
2011
Springer
170views Education» more  CORR 2011»
12 years 9 months ago
A Modular Type-checking algorithm for Type Theory with Singleton Types and Proof Irrelevance
We define a logical framework with singleton types and one universe of small types. We give the semantics using a PER model; it is used for constructing a normalisation-by-evaluat...
Andreas Abel, Thierry Coquand, Miguel Pagano
SOSL
1993
13 years 10 months ago
Verifying Process Algebra Proofs in Type Theory
In this paper we study automatic veri cation of proofs in process algebra. Formulas of process algebra are represented by types in typed -calculus. Inhabitants (terms) of these ty...
M. P. A. Sellink
CADE
2006
Springer
14 years 6 months ago
On the Strength of Proof-Irrelevant Type Theories
We present a type theory with some proof-irrelevance built into the conversion rule. We argue that this feature is useful when type theory is used as the logical formalism underlyi...
Benjamin Werner
CADE
2005
Springer
14 years 6 months ago
Reasoning in Extensional Type Theory with Equality
Abstract. We describe methods for automated theorem proving in extensional type theory with primitive equality. We discuss a complete, cut-free sequent calculus as well as a compac...
Chad E. Brown
TYPES
1999
Springer
13 years 10 months ago
Information Retrieval in a Coq Proof Library Using Type Isomorphisms
We propose a method to search for a lemma in a goq proof library by using the lemma type as a key. The method is based on the concept of type isomorphism developed within the funct...
David Delahaye