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