Lambda-calculus, types and models
Lambda-calculus, types and models
A syntactical proof of the operational equivalence of two &lgr;-terms
Theoretical Computer Science
Domains and lambda-calculi
Graph models of $\lambda$-calculus at work, and variations
Mathematical Structures in Computer Science
Effective λ-models versus recursively enumerable λ-theories
Mathematical Structures in Computer Science
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This paper develops a general technique to analyze the head reduction of a term in a context. This technique is used to give a direct proof of the theorem of Hyland and Wadsworth : two λ-terms that have the same Böhm trees, up to (possibly infinite) η-equivalence, are operationally equivalent. It is also used to prove a conjecture of R. Kerth : Every unsolvable λ-term has a decoration. This syntactical result is motivated by (and gives the solution to) a semantical problem.