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-rw-r--r--docs/julia.rst37
1 files changed, 18 insertions, 19 deletions
diff --git a/docs/julia.rst b/docs/julia.rst
index d9b92b24..f360da0a 100644
--- a/docs/julia.rst
+++ b/docs/julia.rst
@@ -139,32 +139,32 @@ segment of the stack in the EVM).
The the evaluation function E takes a global state, a local state and
a node of the AST and returns a new global state, a new local state
-and a value (if the AST node is an expression).
+and a variable number of values. The number of values is equal to the
+number of values of the expresison if the AST node is an expresison and
+zero otherwise.
-We use sequence numbers as a shorthand for the order of evaluation
-and how state is forwarded. For example, ``E2(x), E1(y)`` is a shorthand
-for
-
-For ``(S1, z) = E(S, y)`` let ``(S2, w) = E(S1, x)``. TODO
+The exact nature of the global state is unspecified for this high level
+description. The local state `L` is a mapping of identifiers `i` to values `v`,
+denoted as `L[i] = v`.
+The special value `⊥` is used to signify that a variable cannot be
+used yet.
.. code::
E(G, L, <{St1, ..., Stn}>: Block) =
- let L' be a copy of L that adds a new inner scope which contains
- all functions and variables declared in the block (but not its sub-blocks)
- variables are marked inactive for now
- TODO: more formal
+ let L' be an extension of L to all variables v declared in Block
+ (but not in its sub-blocks), such that L'[v] = ⊥.
G1, L'1 = E(G, L', St1)
G2, L'2 = E(G1, L'1, St2)
...
Gn, L'n = E(G(n-1), L'(n-1), Stn)
- let L'' be a copy of L'n where the innermost scope is removed
+ let L'' be a restriction of L'n to the identifiers of L'
Gn, L''
E(G, L, <function fname (param1, ..., paramn) -> (ret1, ..., retm) block>: FunctionDefinition) =
G, L
- E(G, L, <let (var1, ..., varn) := value>: VariableDeclaration) =
- E(G, L, <(var1, ..., varn) := value>: Assignment)
- E(G, L, <(var1, ..., varn) := value>: Assignment) =
+ E(G, L, <let var1, ..., varn := value>: VariableDeclaration) =
+ E(G, L, <var1, ..., varn := value>: Assignment)
+ E(G, L, <var1, ..., varn := value>: Assignment) =
let G', L', v1, ..., vn = E(G, L, value)
let L'' be a copy of L' where L'[vi] = vi for i = 1, ..., n
G, L''
@@ -175,11 +175,10 @@ For ``(S1, z) = E(S, y)`` let ``(S2, w) = E(S1, x)``. TODO
...
G(n-1), L(n-1), v2 = E(G(n-2), L(n-2), arg2)
Gn, Ln, v1 = E(G(n-1), L(n-1), arg1)
- Let <function fname (param1, ..., paramn) -> (ret1, ..., retm) block>
- be the function L[fname].
- Let L' be a copy of L that does not contain any variables in any scope,
- but which has a new innermost scope such that
- L'[parami] = vi and L'[reti] = 0
+ Let <function fname (param1, ..., paramn) -> ret1, ..., retm block>
+ be the function of name fname visible at the point of the call.
+ Let L' be a new local state such that
+ L'[parami] = vi and L'[reti] = 0 for all i.
Let G'', L'', rv1, ..., rvm = E(Gn, L', block)
G'', Ln, rv1, ..., rvm
E(G, L, l: HexLiteral) = G, L, hexString(l),