Recursive sets are just normal sets, but the attributes can refer to each other. For example, rec { x = y; y = 123; }.x evaluates to 123. Note that without rec the binding x = y; would refer to the variable y in the surrounding scope, if one exists, and would be invalid if no such variable exists. That is, in a normal (non-recursive) set, attributes are not added to the lexical scope; in a recursive set, they are. Recursive sets of course introduce the danger of infinite recursion. For example, rec { x = y; y = x; }.x does not terminateActually, Nix detects infinite recursion in this case and aborts (infinite recursion encountered).. A let-expression allows you define local variables for an expression. For instance, let x = "foo"; y = "bar"; in x + y evaluates to "foobar". When defining a set it is often convenient to copy variables from the surrounding lexical scope (e.g., when you want to propagate attributes). This can be shortened using the inherit keyword. For instance, let x = 123; in { inherit x; y = 456; } evaluates to { x = 123; y = 456; }. (Note that this works because x is added to the lexical scope by the let construct.) It is also possible to inherit attributes from another set. For instance, in this fragment from all-packages.nix, graphviz = (import ../tools/graphics/graphviz) { inherit fetchurl stdenv libpng libjpeg expat x11 yacc; inherit (xlibs) libXaw; }; xlibs = { libX11 = ...; libXaw = ...; ... } libpng = ...; libjpg = ...; ... the set used in the function call to the function defined in ../tools/graphics/graphviz inherits a number of variables from the surrounding scope (fetchurl ... yacc), but also inherits libXaw (the X Athena Widgets) from the xlibs (X11 client-side libraries) set. Functions have the following form: pattern: body The pattern specifies what the argument of the function must look like, and binds variables in the body to (parts of) the argument. There are three kinds of patterns: If a pattern is a single identifier, then the function matches any argument. Example: let negate = x: !x; concat = x: y: x + y; in if negate true then concat "foo" "bar" else "" Note that concat is a function that takes one argument and returns a function that takes another argument. This allows partial parameterisation (i.e., only filling some of the arguments of a function); e.g., map (concat "foo") [ "bar" "bla" "abc" ] evaluates to [ "foobar" "foobla" "fooabc" ]. A set pattern of the form { name1, name2, …, nameN } matches a set containing the listed attributes, and binds the values of those attributes to variables in the function body. For example, the function { x, y, z }: z + y + x can only be called with a set containing exactly the attributes x, y and z. No other attributes are allowed. If you want to allow additional arguments, you can use an ellipsis (...): { x, y, z, ... }: z + y + x This works on any set that contains at least the three named attributes. It is possible to provide default values for attributes, in which case they are allowed to be missing. A default value is specified by writing name ? e, where e is an arbitrary expression. For example, { x, y ? "foo", z ? "bar" }: z + y + x specifies a function that only requires an attribute named x, but optionally accepts y and z. An @-pattern provides a means of referring to the whole value being matched: args@{ x, y, z, ... }: z + y + x + args.a but can also be written as: { x, y, z, ... } @ args: z + y + x + args.a Here args is bound to the entire argument, which is further matched against the pattern { x, y, z, ... }. This @-pattern makes mainly sense with an ellipsis(...) as you can access attribute names as a, using args.a, which was given as an additional attribute to the function. Note that functions do not have names. If you want to give them a name, you can bind them to an attribute, e.g., let concat = { x, y }: x + y; in concat { x = "foo"; y = "bar"; } A set that has a __functor attribute whose value is callable (i.e. is itself a function or a set with a __functor attribute whose value is callable) can be applied as if it were a function, with the set itself passed in first , e.g., let add = { __functor = self: x: x + self.x; }; inc = add // { x = 1; }; in inc 1 evaluates to 2. This can be used to attach metadata to a function without the caller needing to treat it specially, or to implement a form of object-oriented programming, for example. Conditionals look like this: if e1 then e2 else e3 where e1 is an expression that should evaluate to a Boolean value (true or false). Assertions are generally used to check that certain requirements on or between features and dependencies hold. They look like this: assert e1; e2 where e1 is an expression that should evaluate to a Boolean value. If it evaluates to true, e2 is returned; otherwise expression evaluation is aborted and a backtrace is printed. { localServer ? false , httpServer ? false , sslSupport ? false , pythonBindings ? false , javaSwigBindings ? false , javahlBindings ? false , stdenv, fetchurl , openssl ? null, httpd ? null, db4 ? null, expat, swig ? null, j2sdk ? null }: assert localServer -> db4 != null; assert httpServer -> httpd != null && httpd.expat == expat; assert sslSupport -> openssl != null && (httpServer -> httpd.openssl == openssl); assert pythonBindings -> swig != null && swig.pythonSupport; assert javaSwigBindings -> swig != null && swig.javaSupport; assert javahlBindings -> j2sdk != null; stdenv.mkDerivation { name = "subversion-1.1.1"; ... openssl = if sslSupport then openssl else null; ... } show how assertions are used in the Nix expression for Subversion. This assertion states that if Subversion is to have support for local repositories, then Berkeley DB is needed. So if the Subversion function is called with the localServer argument set to true but the db4 argument set to null, then the evaluation fails. This is a more subtle condition: if Subversion is built with Apache (httpServer) support, then the Expat library (an XML library) used by Subversion should be same as the one used by Apache. This is because in this configuration Subversion code ends up being linked with Apache code, and if the Expat libraries do not match, a build- or runtime link error or incompatibility might occur. This assertion says that in order for Subversion to have SSL support (so that it can access https URLs), an OpenSSL library must be passed. Additionally, it says that if Apache support is enabled, then Apache's OpenSSL should match Subversion's. (Note that if Apache support is not enabled, we don't care about Apache's OpenSSL.) The conditional here is not really related to assertions, but is worth pointing out: it ensures that if SSL support is disabled, then the Subversion derivation is not dependent on OpenSSL, even if a non-null value was passed. This prevents an unnecessary rebuild of Subversion if OpenSSL changes. A with-expression, with e1; e2 introduces the set e1 into the lexical scope of the expression e2. For instance, let as = { x = "foo"; y = "bar"; }; in with as; x + y evaluates to "foobar" since the with adds the x and y attributes of as to the lexical scope in the expression x + y. The most common use of with is in conjunction with the import function. E.g., with (import ./definitions.nix); ... makes all attributes defined in the file definitions.nix available as if they were defined locally in a rec-expression. Comments can be single-line, started with a # character, or inline/multi-line, enclosed within /* ... */.