Semantics of type theory: correctness, completeness, and independence results
Semantics of type theory: correctness, completeness, and independence results
TYPES '95 Selected papers from the International Workshop on Types for Proofs and Programs
PTCS '01 Proceedings of the International Seminar on Proof Theory in Computer Science
Towards Formalizing Categorical Models of Type Theory in Type Theory
Electronic Notes in Theoretical Computer Science (ENTCS)
Journal of Functional Programming
A formalisation of a dependently typed language as an inductive-recursive family
TYPES'06 Proceedings of the 2006 international conference on Types for proofs and programs
MSFP'06 Proceedings of the 2006 international conference on Mathematically Structured Functional Programming
Outrageous but meaningful coincidences: dependent type-safe syntax and evaluation
Proceedings of the 6th ACM SIGPLAN workshop on Generic programming
Inductive-inductive definitions
CSL'10/EACSL'10 Proceedings of the 24th international conference/19th annual conference on Computer science logic
A categorical semantics for inductive-inductive definitions
CALCO'11 Proceedings of the 4th international conference on Algebra and coalgebra in computer science
Strongly Typed Term Representations in Coq
Journal of Automated Reasoning
Proceedings of the 8th ACM SIGPLAN workshop on Generic programming
Typed syntactic meta-programming
Proceedings of the 18th ACM SIGPLAN international conference on Functional programming
LICS '13 Proceedings of the 2013 28th Annual ACM/IEEE Symposium on Logic in Computer Science
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In this paper I present a partial formalisation of a normaliser for type theory in Agda [Ulf Norell. Agda 2, 2007. http://www.cs.chalmers.se/~ulfn/]; extending previous work on big-step normalisation [Thorsten Altenkirch and James Chapman. Big-Step Normalisation. Journal of Functional Programming, 2008. Special Issue on Mathematically Structured Functional Programming. To appear, Thorsten Altenkirch and James Chapman. Tait in one big step. In Workshop on Mathematically Structured Functional Programming, MSFP 2006, Kuressaare, Estonia, July 2, 2006, electronic Workshop in Computing (eWiC), Kuressaare, Estonia, 2006. The British Computer Society (BCS)]. The normaliser in written as an environment machine. Only the computational behaviour of the normaliser is presented omitting details of termination.