first usable version

This commit is contained in:
Peter
2023-11-09 09:46:07 +01:00
parent 70b3e9c722
commit 6b5ab857cb
22 changed files with 675 additions and 153 deletions

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Language "IBAFlang"
# 1: General expressions
Syntax Exp:exp ::= id
| int
| 'true'
| 'false'
| exp '+' exp
| exp '-' exp
| exp '*' exp
| exp '/' exp
| exp '%' exp
| exp '&&' exp
| exp '||' exp
| exp '==' exp
| exp '>=' exp
| exp '>' exp
| exp '<=' exp
| exp '<' exp
| '(' exp ')'
Semantics eval-exp[[ _:exp ]] : => values
Rule eval-exp[[ Id ]] = assigned(bound(id[[ Id ]]))
Rule eval-exp[[ Int ]] = int-val[[ Int ]]
Rule eval-exp[[ 'true' ]] = true
Rule eval-exp[[ 'false' ]] = false
Rule eval-exp[[ Exp1 '+' Exp2 ]] = int-add(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
Rule eval-exp[[ Exp1 '-' Exp2 ]] = int-sub(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
Rule eval-exp[[ Exp1 '*' Exp2 ]] = int-mul(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
Rule eval-exp[[ Exp1 '/' Exp2 ]] = checked int-div(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
Rule eval-exp[[ Exp1 '%' Exp2 ]] = checked int-mod(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
Rule eval-exp[[ Exp1 '&&' Exp2 ]] = and(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
Rule eval-exp[[ Exp1 '||' Exp2 ]] = and(eval-exp[[ Exp1 ]], eval-exp[[ Exp2 ]])
Rule eval-exp[[ Exp1 '==' Exp2 ]] = is-equal(eval-exp[[ Exp1 ]], eval-exp[[ Exp2]] )
Rule eval-exp[[ Exp1 '>=' Exp2 ]] = is-greater-or-equal(eval-exp[[ Exp1 ]], eval-exp[[ Exp2]] )
Rule eval-exp[[ Exp1 '>' Exp2 ]] = is-greater(eval-exp[[ Exp1 ]], eval-exp[[ Exp2]] )
Rule eval-exp[[ Exp1 '<=' Exp2 ]] = is-less-or-equal(eval-exp[[ Exp1 ]], eval-exp[[ Exp2]] )
Rule eval-exp[[ Exp1 '<' Exp2 ]] = is-less(eval-exp[[ Exp1 ]], eval-exp[[ Exp2]] )
Rule eval-exp[[ '(' Exp ')' ]] = eval-exp[[ Exp ]]
Lexis Id:id ::= ('a'-'z' | 'A'-'Z') ('a'-'z' | 'A'-'Z' | '0'-'9')*
Semantics id[[ _:id ]] : ids
Rule id[[ Id ]] = \"Id\"
Syntax Int:int ::= '0' | ('-'?_decimal)
Semantics int-val[[ _:int ]] : ints
Rule int-val[[ '0' ]] = decimal-natural(\"0\")
Rule int-val[[ Dec ]] = dec-val[[ Dec ]]
Rule int-val[[ '-' Dec ]] = integer-negate(dec-val[[ Dec ]])
Lexis Dec:decimal ::= '1'-'9'('0'-'9')*
Semantics dec-val[[ _:decimal ]] : ints
Rule dec-val[[ Dec ]] = decimal-natural(\"Dec\")

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Language "IBAFlang"
Syntax START:start ::= aexp
Syntax START:start ::= pgm
Semantics start[[ _:start ]] : =>values
Semantics start[[ _:start ]] : =>null-type
Rule start[[ AExp ]] =
Rule start[[ Pgm ]] =
initialise-binding
finalise-failing
eval-arith[[ AExp ]]
#1 Arithmetic expressions
run [[ Pgm ]]
Syntax
AExp : aexp ::= num
| id
| aexp '+' aexp
| aexp '/' aexp
| '(' aexp ')'
Semantics
eval-arith[[ _:aexp ]] : =>integers
Rule
eval-arith[[ N ]] = int-val[[ N ]]
Rule
eval-arith[[ I ]] = assigned(bound(id[[ I ]]))
Rule
eval-arith[[ AExp1 '+' AExp2 ]] =
integer-add(eval-arith[[ AExp1 ]], eval-arith[[ AExp2 ]])
Rule
eval-arith[[ AExp1 '/' AExp2 ]] =
checked integer-divide(eval-arith[[ AExp1 ]], eval-arith[[ AExp2 ]])
Rule
eval-arith[[ '(' AExp ')' ]] = eval-arith[[ AExp ]]
Syntax
N : num ::= '-'?_decimal
Lexis
D : decimal ::= ('0'-'9')+
Semantics
int-val[[ _:num ]] : integers
Rule
int-val[[ D ]] = decimal-natural(\"D\")
Rule
int-val[[ '-' D ]] = integer-negate(int-val[[ D ]])
Lexis
I : id ::= ('A'-'Z'|'a'-'z')+
Semantics
id[[ _:id ]] : ids
Rule
id[[ I ]] = \"I\"
Syntax Pgm : pgm ::= 'int' idlist ';' stmt
Semantics run[[ _:pgm ]] : =>null-type
Rule run[[ 'int' IL ';' Stmt ]] =
scope( collateral(declare-int-vars[[ IL ]]),
execute[[ Stmt ]] )
Syntax IL : idlist ::= id (',' idlist)?
Semantics declare-int-vars[[ _: idlist ]] : (=>environments)+
Rule declare-int-vars[[ Id ]] = bind(\"Id\", allocate-initialised-variable(integers, 0))
Rule declare-int-vars[[ Id ',' IL ]] = declare-int-vars[[ Id ]], declare-int-vars[[ IL ]]
Lexis keyword ::= 'else' | 'false' | 'if' | 'true' | 'while' | 'int'
Lexis SDF
/*
lexical syntax
``id`` = ``keyword`` {reject}
lexical restrictions
``id`` -/- [A-Za-z0-9]
*/
Syntax SDF
/*
context-free syntax
``exp ::= exp '+' exp`` {assoc}
``exp ::= exp '&&' exp`` {assoc}
``stmt ::= stmt stmt`` {right}
*/

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Language "IBAFlang"
Syntax Stmt:stmt ::= type id '=' exp ';'
| 'print' '(' exp ')' ';'
// | '{' stmt '}'
| stmt stmt
Syntax Typ:type ::= 'int'
| 'bool'
| id
Semantics execute[[ _:stmt ]] : => null
Rule execute[[ Typ Id '=' Exp ';' ]] = assign(bound(id[[ Id ]]), eval-exp[[ Exp ]])
Rule execute[[ 'print' '(' Exp ')' ';' ]] = print(eval-exp[[ Exp ]])
//Rule execute[[ '{' Stmt '}' ]] = scope(
// collateral(collect-declared-vars[[ Stmt ]]),
// execute[[ Stmt ]]
//)
Rule execute[[ Stmt1 Stmt2 ]] = sequential(execute[[ Stmt1 ]], execute[[ Stmt2 ]])
//Semantics collect-declared-vars[[ _:stmt ]] : (=>environments)*
//
//
//Rule collect-declared-vars[[ Typ Id '=' Exp ';' ]] =
// bind(
// \"Id\",
// allocate-initialised-variable(
// integers, //TODO: use type
// eval-exp[[ Exp ]]
// )
// )
//Rule collect-declared-vars[[ Stmt ]] = null
//Rule collect-declared-vars[[ Stmt1 Stmt2 ]] = (collect-declared-vars[[ Stmt1 ]], collect-declared-vars[[ Stmt2 ]]))