head normal form - meaning and definition. What is head normal form
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What (who) is head normal form - definition

POTENTIAL STATE FOR A TERM IN LAMBDA CALCULUS
Beta-eta normal form; Head normal form; Beta redex

Head Normal Form         
<theory, reduction> (HNF) A term describing a {lambda expression} whose top level is either a variable, a data value, a built-in function applied to too few arguments, or a lambda abstraction whose body is not reducible. I.e. the top level is neither a redex nor a lambda abstraction with a reducible body. An expression in HNF may contain redexes in argument postions whereas a normal form may not. Compare Weak Head Normal Form. (2003-01-08)
Beta normal form         
In the lambda calculus, a term is in beta normal form if no beta reduction is possible. A term is in beta-eta normal form if neither a beta reduction nor an eta reduction is possible.
Third normal form         
NORMALIZING A DATABASE DESIGN TO REDUCE THE DUPLICATION OF DATA AND ENSURE REFERENTIAL INTEGRITY
3NF; Third Normal Form; 3rd normal form
Third normal form (3NF) is a database schema design approach for relational databases which uses normalizing principles to reduce the duplication of data, avoid data anomalies, ensure referential integrity, and simplify data management. It was defined in 1971 by Edgar F.

Wikipedia

Beta normal form

In the lambda calculus, a term is in beta normal form if no beta reduction is possible. A term is in beta-eta normal form if neither a beta reduction nor an eta reduction is possible. A term is in head normal form if there is no beta-redex in head position. The normal form of a term, if one exists, is unique (as a corollary of the Church–Rosser theorem). However, a term may have more than one head normal form.