434 lines
7.8 KiB
BNF
434 lines
7.8 KiB
BNF
right_assoc(item,op) ::=
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item
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| item op right_assoc(item,op)
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left_assoc(item,op) ::=
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right_assoc(item,op)
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option(item) :=
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(**)
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| item
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series(item,sep,term) ::=
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item after_item(item,sep,term)
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after_item(item,sep,term) ::=
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sep item_or_closing(item,sep,term)
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| term
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item_or_closing(item,sep,term) ::=
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term
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| series(item,sep,term)
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(* Compound constructs *)
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par(item) ::=
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LPAR item RPAR
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brackets(item) ::=
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LBRACKET item RBRACKET
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(* Sequences *)
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(* Possibly empty sequence of items
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LL(1) constraint: item not in Follow(seq), where
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Follow(seq) = Follow(nseq) = {EOF, Begin, Block}
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*)
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seq(item) ::=
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option(nseq(item))
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(* Non-empty sequence of items *)
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nseq(item) ::=
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item seq(item)
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(* Non-empty separated sequence of items *)
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nsepseq(item,Sep) ::=
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item
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| item Sep nsepseq(item,Sep)
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(* Main *)
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contract ::=
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nseq(declaration) EOF
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(* LL(1) constraint: SEMI not in Follow(declaration), where
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Follow(declaration)
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= {EOF} U First(declaration)
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= {EOF} U First(type_decl)
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U First(const_decl) U First(lambda_decl)
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= {EOF} U {Type} U {Const} U First(fun_decl)
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U First(proc_decl) U First(entry_decl)
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= {EOF,Type,Const,Function,Procedure,Entrypoint}.
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*)
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declaration ::=
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type_decl option(SEMI)
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| const_decl option(SEMI)
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| lambda_decl option(SEMI)
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(* Type declarations *)
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type_decl ::=
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Type Ident Is type_expr
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type_expr ::=
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cartesian
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| nsepseq(variant,VBAR)
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| VBAR nsepseq(variant,VBAR)
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| Record record_type_expr
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record_type_expr ::=
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series(field_decl,SEMI,End)
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| LBRACKET series(field_decl,SEMI,RBRACKET)
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(* LL(1) constraint: Of not in Follow(variant).
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"Of" only occurs after {Constr, expr}. *)
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variant ::=
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Constr option(of_cartesian)
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of_cartesian ::=
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Of cartesian
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cartesian ::=
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nsepseq(function_type,TIMES)
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function_type ::=
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right_assoc(core_type,ARROW)
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(* LL(1) constraint: LPAR not in Follow(core_type), where
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Follow(core_type)
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= {ARROW} U Follow(function_type)
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= {ARROW} U {TIMES} U Follow(cartesian)
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= {ARROW,TIMES} U Follow(of_cartesian) U Follow(type_expr)
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U Follow(param_type)
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= {ARROW,TIMES} U Follow(variant)
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U {RPAR,COMMA,Is,EQUAL,ASS} U Follow(field_decl)
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U Follow(paren_expr_1) U Follow(type_decl)
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U Follow(param_decl) U Follow(entry_param_decl)
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= {ARROW,TIMES,RPAR,COMMA,Is,EQUAL,ASS,VBAR,
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SEMI,End,RBRACKET} U Follow(paren_expr)
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U {SEMI} U Follow(declaration)
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= {ARROW,TIMES,RPAR,COMMA,Is,EQUAL,ASS,VBAR,
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SEMI,End,RBRACKET,EOF,Type,Const,
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Function,Procedure,Entrypoint}.
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*)
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core_type ::=
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Ident (* type_name *) option(type_tuple)
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| Map type_tuple
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| Set par(type_expr)
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| List par(type_expr)
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| par(type_expr)
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type_tuple ::=
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par(nsepseq(type_expr,COMMA))
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field_decl ::=
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Ident (* field_name *) COLON type_expr
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(* Function and procedure declarations *)
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lambda_decl ::=
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fun_decl
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| proc_decl
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| entry_decl
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fun_decl ::=
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Function Ident parameters COLON type_expr Is
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seq(local_decl)
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block
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With expr
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entry_decl ::=
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Entrypoint Ident entry_params COLON type_expr Is
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seq(local_decl)
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block
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With expr
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entry_params ::=
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par(nsepseq(entry_param_decl,SEMI))
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proc_decl ::=
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Procedure Ident parameters Is
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seq(local_decl)
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block
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parameters ::=
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par(nsepseq(param_decl,SEMI))
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param_decl ::=
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Var Ident COLON param_type
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| Const Ident COLON param_type
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entry_param_decl ::=
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param_decl
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| Storage Ident COLON param_type
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param_type ::=
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cartesian
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block ::=
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Begin series(statement,SEMI,End)
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| Block LBRACE series(statement,SEMI,RBRACE)
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statement ::=
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instruction
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| data_decl
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data_decl ::=
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const_decl
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| var_decl
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const_decl ::=
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Const unqualified_decl(EQUAL)
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var_decl ::=
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Var unqualified_decl(ASS)
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(* LL(1) constraint: SEMI not in Follow(local_decl), where
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Follow(local_decl)
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= First(local_decl) U First(block)
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= First(fun_decl) U First(proc_decl) U First(data_decl)
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U {BEGIN,Block}
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= {Function,Procedure,BEGIN,Block} U First(const_decl)
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U First(var_decl)
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= {Function,Procedure,BEGIN,Block,Const,Var}.
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*)
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local_decl ::=
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fun_decl option(SEMI)
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| proc_decl option(SEMI)
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| data_decl option(SEMI)
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unqualified_decl(op) ::=
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Ident (* var *) COLON type_expr op expr
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instruction ::=
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block
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| If expr Then if_clause option(SEMI) Else if_clause
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| case(instruction)
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| Ident instruction_1
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| loop
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| Fail expr
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| Skip
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| Patch path With structure
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| Remove expr From remove_suffix
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remove_suffix ::=
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Map path
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| Set path
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instruction_1 ::=
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arguments
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| ASS expr
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| brackets(expr) ASS expr
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| selections option(brackets(expr)) ASS expr
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(* LL(1) constraint: First(selections) not in Follow(path), where
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First(selections) = {DOT} and
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Follow(path)
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= {With} U Follow(remove_suffix)
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= {With} U Follow(instruction)
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= {With} U Follow(statement) U Follow(if_clause)
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U Follow(case_clause(instruction))
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= {With,SEMI,End,Else,VBAR} U Follow(cases(instruction))
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= {With,SEMI,End,Else,VBAR,RBRACKET}.
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*)
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path ::=
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Ident option(selections)
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selections ::=
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DOT nsepseq(selection,DOT)
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injection(Kind,element) ::=
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Kind inj_sufffix(element)
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inj_suffix(element) ::=
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series(element,SEMI,End)
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| End
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| LBRACKET bracketed(element)
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bracketed(element) ::=
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series(element,SEMI,RBRACKET)
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| RBRACKET
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binding ::=
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expr ARROW expr
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if_clause ::=
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instruction
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| LBRACE series(statement,COMMA,RBRACE)
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case(rhs) ::=
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Case expr Of case_suffix(rhs)
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case_suffix(rhs) ::=
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cases(rhs) End
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| LBRACKET cases(rhs) RBRACKET
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cases(rhs) ::=
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nsepseq(case_clause(rhs),VBAR)
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| VBAR nsepseq(case_clause(rhs),VBAR)
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case_clause(rhs) ::=
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pattern ARROW rhs
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loop ::=
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While expr block
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| For Ident for_suffix
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for_suffix ::=
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ASS expr option(Down) To expr option(step_clause) block
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| In expr block
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| ARROW Ident In expr block
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step_clause ::=
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Step expr
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(* Expressions *)
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interactive_expr ::=
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expr EOF
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expr ::=
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case(expr)
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| disj_expr
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disj_expr ::=
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left_assoc(conj_expr,Or)
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conj_expr ::=
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left_assoc(set_membership,And)
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set_membership ::=
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comp_expr option(contains_clause) (* Enlarged the language *)
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contains_clause ::=
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Contains set_membership
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comp_expr ::=
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left_assoc(cat_expr,op_comp)
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op_comp ::=
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LT | LEQ | GT | GEQ | EQUAL | NEQ
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cat_expr ::=
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right_assoc(cons_expr,CAT)
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cons_expr ::=
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left_assoc(add_expr,CONS)
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add_expr ::=
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left_assoc(mult_expr,add_op)
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add_op ::=
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PLUS | MINUS
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mult_expr ::=
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left_assoc(unary_expr,mult_op)
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mult_op ::=
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TIMES | SLASH | Mod
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unary_expr ::=
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MINUS core_expr
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| Not core_expr
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| core_expr
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(* LL(1) constraint: First(core_suffix) not in Follow(core_expr)
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First(core_suffix) =
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XXX
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*)
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core_expr ::=
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Int
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| Nat
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| Mtz
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| Ident option(core_suffix)
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| String
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| Bytes
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| C_False
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| C_True
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| C_Unit
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| C_None
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| C_Some arguments
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| Constr option(arguments)
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| par(paren_expr)
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| injection(List,expr)
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| Nil
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| structure
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core_suffix ::=
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brackets(expr) (* lookup *)
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| DOT nsepseq(selection,DOT) option(brackets(expr))
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| arguments
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paren_expr ::=
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disj_expr option(paren_expr_1)
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| case(expr) option(paren_expr_2)
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paren_expr_1 ::=
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COLON type_expr
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| COMMA nsepseq(expr,COMMA)
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paren_expr_2 ::=
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COMMA nsepseq(expr,COMMA)
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structure ::=
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injection(Map,binding)
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| injection(Set,expr)
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| record_expr
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selection ::=
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Ident (* field_name *)
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| Int
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record_expr ::=
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Record record_expr_suffix
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record_expr_suffix ::=
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series(field_assignment,SEMI,End)
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| LBRACKET series(field_assignment,SEMI,RBRACKET)
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field_assignment ::=
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Ident (* field_name *) EQUAL expr
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arguments ::=
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par(nsepseq(expr,COMMA))
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(* Patterns *)
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pattern ::=
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nsepseq(core_pattern,CONS)
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core_pattern ::=
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Ident (* var *)
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| WILD
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| Int
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| String
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| C_Unit
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| C_False
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| C_True
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| C_None
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| C_Some par(core_pattern)
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| Constr option(tuple_pattern)
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| injection(List,core_pattern)
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| Nil
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| par(option(paren_pattern))
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paren_pattern ::=
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core_pattern paren_pattern_suffix
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paren_pattern_suffix ::=
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CONS pattern
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| COMMA nsepseq(core_pattern,COMMA)
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tuple_pattern ::=
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par(nsepseq(core_pattern,COMMA))
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