author | wenzelm |
Fri, 13 Apr 2012 13:59:35 +0200 | |
changeset 47454 | 479b4d6b9562 |
parent 47426 | 26c1a97c7784 |
child 47569 | fce9d97a3258 |
permissions | -rw-r--r-- |
46844 | 1 |
(* Title: HOL/TPTP/TPTP_Parser/tptp_syntax.ML |
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Author: Nik Sultana, Cambridge University Computer Laboratory |
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TPTP abstract syntax and parser-related definitions. |
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*) |
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signature TPTP_SYNTAX = |
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sig |
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exception TPTP_SYNTAX of string |
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val debug: ('a -> unit) -> 'a -> unit |
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(*Note that in THF "^ [X] : ^ [Y] : f @ g" should parse |
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as "(^ [X] : (^ [Y] : f)) @ g" |
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*) |
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datatype number_kind = Int_num | Real_num | Rat_num |
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datatype status_value = |
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Suc | Unp | Sap | Esa | Sat | Fsa |
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| Thm | Eqv | Tac | Wec | Eth | Tau |
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| Wtc | Wth | Cax | Sca | Tca | Wca |
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| Cup | Csp | Ecs | Csa | Cth | Ceq |
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| Unc | Wcc | Ect | Fun | Uns | Wuc |
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| Wct | Scc | Uca | Noc |
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type name = string |
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type atomic_word = string |
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type inference_rule = atomic_word |
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type file_info = name option |
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type single_quoted = string |
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type file_name = single_quoted |
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type creator_name = atomic_word |
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type variable = string |
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type upper_word = string |
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datatype language = FOF | CNF | TFF | THF | FOT | TFF_with_arithmetic |
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and role = |
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Role_Axiom | Role_Hypothesis | Role_Definition | Role_Assumption | |
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Role_Lemma | Role_Theorem | Role_Conjecture | Role_Negated_Conjecture | |
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Role_Plain | Role_Fi_Domain | Role_Fi_Functors | Role_Fi_Predicates | |
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Role_Type | Role_Unknown |
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and general_data = (*Bind of variable * formula_data*) |
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Atomic_Word of string |
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| Application of string * general_term list (*general_function*) |
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| V of upper_word (*variable*) |
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| Number of number_kind * string |
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| Distinct_Object of string |
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| (*formula_data*) Formula_Data of language * tptp_formula (* $thf(<thf_formula>) *) |
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| (*formula_data*) Term_Data of tptp_term |
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and interpreted_symbol = |
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UMinus | Sum | Difference | Product | Quotient | Quotient_E | |
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Quotient_T | Quotient_F | Remainder_E | Remainder_T | Remainder_F | |
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Floor | Ceiling | Truncate | Round | To_Int | To_Rat | To_Real | |
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47360 | 56 |
(*FIXME these should be in defined_pred, but that's not being used in TPTP*) |
46844 | 57 |
Less | LessEq | Greater | GreaterEq | EvalEq | Is_Int | Is_Rat | |
47360 | 58 |
Distinct | Apply |
46844 | 59 |
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and logic_symbol = Equals | NEquals | Or | And | Iff | If | Fi | Xor | |
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Nor | Nand | Not | Op_Forall | Op_Exists | |
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47360 | 62 |
(*FIXME these should be in defined_pred, but that's not being used in TPTP*) |
46844 | 63 |
True | False |
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and quantifier = (*interpreted binders*) |
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Forall | Exists | Epsilon | Iota | Lambda | Dep_Prod | Dep_Sum |
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and tptp_base_type = |
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Type_Ind | Type_Bool | Type_Type | Type_Int | Type_Rat | Type_Real |
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and symbol = |
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Uninterpreted of string |
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| Interpreted_ExtraLogic of interpreted_symbol |
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| Interpreted_Logic of logic_symbol |
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| TypeSymbol of tptp_base_type |
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| System of string |
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and general_term = |
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General_Data of general_data (*general_data*) |
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| General_Term of general_data * general_term (*general_data : general_term*) |
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| General_List of general_term list |
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and tptp_term = |
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Term_Func of symbol * tptp_term list |
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| Term_Var of string |
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| Term_Conditional of tptp_formula * tptp_term * tptp_term |
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| Term_Num of number_kind * string |
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| Term_Distinct_Object of string |
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47357
15e579392a68
refactored tptp yacc to bring close to official spec;
sultana
parents:
46844
diff
changeset
|
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| Term_Let of tptp_let list * tptp_term (*FIXME remove list?*) |
46844 | 90 |
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and tptp_atom = |
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TFF_Typed_Atom of symbol * tptp_type option (*only TFF*) |
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| THF_Atom_term of tptp_term (*from here on, only THF*) |
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| THF_Atom_conn_term of symbol |
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and tptp_formula = |
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Pred of symbol * tptp_term list |
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| Fmla of symbol * tptp_formula list |
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| Sequent of tptp_formula list * tptp_formula list |
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| Quant of quantifier * (string * tptp_type option) list * tptp_formula |
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| Conditional of tptp_formula * tptp_formula * tptp_formula |
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47357
15e579392a68
refactored tptp yacc to bring close to official spec;
sultana
parents:
46844
diff
changeset
|
102 |
| Let of tptp_let list * tptp_formula (*FIXME remove list?*) |
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| Atom of tptp_atom |
47360 | 104 |
| Type_fmla of tptp_type |
46844 | 105 |
| THF_typing of tptp_formula * tptp_type (*only THF*) |
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and tptp_let = |
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Let_fmla of (string * tptp_type option) * tptp_formula |
|
47357
15e579392a68
refactored tptp yacc to bring close to official spec;
sultana
parents:
46844
diff
changeset
|
109 |
| Let_term of (string * tptp_type option) * tptp_term (*only TFF*) |
46844 | 110 |
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and tptp_type = |
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Prod_type of tptp_type * tptp_type |
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| Fn_type of tptp_type * tptp_type |
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| Atom_type of string |
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| Defined_type of tptp_base_type |
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| Sum_type of tptp_type * tptp_type (*only THF*) |
|
47357
15e579392a68
refactored tptp yacc to bring close to official spec;
sultana
parents:
46844
diff
changeset
|
117 |
| Fmla_type of tptp_formula |
46844 | 118 |
| Subtype of symbol * symbol (*only THF*) |
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type general_list = general_term list |
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type parent_details = general_list |
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type useful_info = general_term list |
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type info = useful_info |
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type annotation = general_term * general_term list |
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exception DEQUOTE of string |
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type position = string * int * int |
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datatype tptp_line = |
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47360 | 132 |
Annotated_Formula of position * language * string * role * |
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tptp_formula * annotation option |
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46844 | 134 |
| Include of string * string list |
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type tptp_problem = tptp_line list |
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val dequote : single_quoted -> single_quoted |
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val role_to_string : role -> string |
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val status_to_string : status_value -> string |
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val nameof_tff_atom_type : tptp_type -> string |
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(*Returns the list of all files included in a directory and its |
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subdirectories. This is only used for testing the parser/interpreter against |
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all THF problems.*) |
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val get_file_list : Path.T -> Path.T list |
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val string_of_tptp_term : tptp_term -> string |
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val string_of_tptp_formula : tptp_formula -> string |
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end |
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structure TPTP_Syntax : TPTP_SYNTAX = |
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struct |
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exception TPTP_SYNTAX of string |
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datatype number_kind = Int_num | Real_num | Rat_num |
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datatype status_value = |
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Suc | Unp | Sap | Esa | Sat | Fsa |
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| Thm | Eqv | Tac | Wec | Eth | Tau |
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| Wtc | Wth | Cax | Sca | Tca | Wca |
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| Cup | Csp | Ecs | Csa | Cth | Ceq |
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| Unc | Wcc | Ect | Fun | Uns | Wuc |
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| Wct | Scc | Uca | Noc |
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type name = string |
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type atomic_word = string |
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type inference_rule = atomic_word |
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type file_info = name option |
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type single_quoted = string |
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type file_name = single_quoted |
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type creator_name = atomic_word |
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type variable = string |
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type upper_word = string |
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datatype language = FOF | CNF | TFF | THF | FOT | TFF_with_arithmetic |
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and role = |
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Role_Axiom | Role_Hypothesis | Role_Definition | Role_Assumption | |
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Role_Lemma | Role_Theorem | Role_Conjecture | Role_Negated_Conjecture | |
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Role_Plain | Role_Fi_Domain | Role_Fi_Functors | Role_Fi_Predicates | |
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Role_Type | Role_Unknown |
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and general_data = (*Bind of variable * formula_data*) |
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Atomic_Word of string |
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| Application of string * (general_term list) |
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| V of upper_word (*variable*) |
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| Number of number_kind * string |
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| Distinct_Object of string |
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| (*formula_data*) Formula_Data of language * tptp_formula (* $thf(<thf_formula>) *) |
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| (*formula_data*) Term_Data of tptp_term |
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and interpreted_symbol = |
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UMinus | Sum | Difference | Product | Quotient | Quotient_E | |
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Quotient_T | Quotient_F | Remainder_E | Remainder_T | Remainder_F | |
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Floor | Ceiling | Truncate | Round | To_Int | To_Rat | To_Real | |
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Less | LessEq | Greater | GreaterEq | EvalEq | Is_Int | Is_Rat | |
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47357
15e579392a68
refactored tptp yacc to bring close to official spec;
sultana
parents:
46844
diff
changeset
|
202 |
Distinct | |
47360 | 203 |
Apply |
46844 | 204 |
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and logic_symbol = Equals | NEquals | Or | And | Iff | If | Fi | Xor | |
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Nor | Nand | Not | Op_Forall | Op_Exists | |
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True | False |
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and quantifier = (*interpreted binders*) |
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Forall | Exists | Epsilon | Iota | Lambda | Dep_Prod | Dep_Sum |
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and tptp_base_type = |
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Type_Ind | Type_Bool | Type_Type | Type_Int | Type_Rat | Type_Real |
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and symbol = |
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Uninterpreted of string |
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| Interpreted_ExtraLogic of interpreted_symbol |
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| Interpreted_Logic of logic_symbol |
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| TypeSymbol of tptp_base_type |
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| System of string |
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and general_term = |
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General_Data of general_data (*general_data*) |
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| General_Term of general_data * general_term (*general_data : general_term*) |
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| General_List of general_term list |
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and tptp_term = |
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Term_Func of symbol * tptp_term list |
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| Term_Var of string |
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| Term_Conditional of tptp_formula * tptp_term * tptp_term |
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| Term_Num of number_kind * string |
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| Term_Distinct_Object of string |
|
47357
15e579392a68
refactored tptp yacc to bring close to official spec;
sultana
parents:
46844
diff
changeset
|
233 |
| Term_Let of tptp_let list * tptp_term (*FIXME remove list?*) |
46844 | 234 |
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and tptp_atom = |
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TFF_Typed_Atom of symbol * tptp_type option (*only TFF*) |
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| THF_Atom_term of tptp_term (*from here on, only THF*) |
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| THF_Atom_conn_term of symbol |
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and tptp_formula = |
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Pred of symbol * tptp_term list |
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| Fmla of symbol * tptp_formula list |
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| Sequent of tptp_formula list * tptp_formula list |
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| Quant of quantifier * (string * tptp_type option) list * tptp_formula |
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| Conditional of tptp_formula * tptp_formula * tptp_formula |
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| Let of tptp_let list * tptp_formula |
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| Atom of tptp_atom |
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47360 | 248 |
| Type_fmla of tptp_type |
46844 | 249 |
| THF_typing of tptp_formula * tptp_type |
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and tptp_let = |
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47360 | 252 |
Let_fmla of (string * tptp_type option) * tptp_formula |
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| Let_term of (string * tptp_type option) * tptp_term |
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46844 | 254 |
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and tptp_type = |
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Prod_type of tptp_type * tptp_type |
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| Fn_type of tptp_type * tptp_type |
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| Atom_type of string |
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| Defined_type of tptp_base_type |
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47360 | 260 |
| Sum_type of tptp_type * tptp_type |
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| Fmla_type of tptp_formula |
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| Subtype of symbol * symbol |
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46844 | 263 |
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type general_list = general_term list |
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type parent_details = general_list |
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type useful_info = general_term list |
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type info = useful_info |
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(*type annotation = (source * info option)*) |
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type annotation = general_term * general_term list |
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exception DEQUOTE of string |
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type position = string * int * int |
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datatype tptp_line = |
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Annotated_Formula of position * language * string * role * tptp_formula * annotation option |
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| Include of string * string list |
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type tptp_problem = tptp_line list |
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fun debug f x = if !Runtime.debug then (f x; ()) else () |
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fun nameof_tff_atom_type (Atom_type str) = str |
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| nameof_tff_atom_type _ = raise TPTP_SYNTAX "nameof_tff_atom_type called on non-atom type" |
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(*Used for debugging. Returns all files contained within a directory or its |
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subdirectories. Follows symbolic links, filters away directories.*) |
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fun get_file_list path = |
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let |
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fun check_file_entry f rest = |
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let |
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(*NOTE needed since no File.is_link and File.read_link*) |
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val f_str = Path.implode f |
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in |
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if File.is_dir f then |
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rest @ get_file_list f |
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else if OS.FileSys.isLink f_str then |
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(*follow links -- NOTE this breaks if links are relative paths*) |
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check_file_entry (Path.explode (OS.FileSys.readLink f_str)) rest |
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else f :: rest |
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end |
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in |
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File.read_dir path |
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|> map |
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(Path.explode |
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#> Path.append path) |
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|> (fn l => fold check_file_entry l []) |
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end |
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fun role_to_string role = |
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case role of |
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Role_Axiom => "axiom" |
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| Role_Hypothesis => "hypothesis" |
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| Role_Definition => "definition" |
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| Role_Assumption => "assumption" |
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| Role_Lemma => "lemma" |
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318 |
| Role_Theorem => "theorem" |
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| Role_Conjecture => "conjecture" |
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| Role_Negated_Conjecture => "negated_conjecture" |
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| Role_Plain => "plain" |
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322 |
| Role_Fi_Domain => "fi_domain" |
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| Role_Fi_Functors => "fi_functors" |
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324 |
| Role_Fi_Predicates => "fi_predicates" |
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325 |
| Role_Type => "type" |
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| Role_Unknown => "unknown" |
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327 |
||
328 |
(*accepts a string "'abc'" and returns "abc"*) |
|
329 |
fun dequote str : single_quoted = |
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330 |
if str = "" then |
|
331 |
raise (DEQUOTE "empty string") |
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332 |
else |
|
333 |
(unprefix "'" str |
|
334 |
|> unsuffix "'" |
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335 |
handle (Fail str) => |
|
336 |
if str = "unprefix" then |
|
337 |
raise DEQUOTE ("string doesn't open with quote:" ^ str) |
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338 |
else if str = "unsuffix" then |
|
339 |
raise DEQUOTE ("string doesn't close with quote:" ^ str) |
|
340 |
else raise Fail str) |
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341 |
||
342 |
||
343 |
(* Printing parsed TPTP formulas *) |
|
344 |
(*FIXME this is not pretty-printing, just printing*) |
|
345 |
||
346 |
fun status_to_string status_value = |
|
347 |
case status_value of |
|
47454 | 348 |
Suc => "suc" | Unp => "unp" |
46844 | 349 |
| Sap => "sap" | Esa => "esa" |
350 |
| Sat => "sat" | Fsa => "fsa" |
|
351 |
| Thm => "thm" | Wuc => "wuc" |
|
47454 | 352 |
| Eqv => "eqv" | Tac => "tac" |
353 |
| Wec => "wec" | Eth => "eth" |
|
354 |
| Tau => "tau" | Wtc => "wtc" |
|
355 |
| Wth => "wth" | Cax => "cax" |
|
356 |
| Sca => "sca" | Tca => "tca" |
|
357 |
| Wca => "wca" | Cup => "cup" |
|
358 |
| Csp => "csp" | Ecs => "ecs" |
|
359 |
| Csa => "csa" | Cth => "cth" |
|
360 |
| Ceq => "ceq" | Unc => "unc" |
|
361 |
| Wcc => "wcc" | Ect => "ect" |
|
362 |
| Fun => "fun" | Uns => "uns" |
|
363 |
| Wct => "wct" | Scc => "scc" |
|
364 |
| Uca => "uca" | Noc => "noc" |
|
46844 | 365 |
|
366 |
fun string_of_tptp_term x = |
|
367 |
case x of |
|
368 |
Term_Func (symbol, tptp_term_list) => |
|
369 |
"(" ^ string_of_symbol symbol ^ " " ^ |
|
47426 | 370 |
space_implode " " (map string_of_tptp_term tptp_term_list) ^ ")" |
46844 | 371 |
| Term_Var str => str |
372 |
| Term_Conditional (tptp_formula, tptp_term1, tptp_term2) => "" (*FIXME*) |
|
373 |
| Term_Num (_, str) => str |
|
374 |
| Term_Distinct_Object str => str |
|
375 |
||
376 |
and string_of_symbol (Uninterpreted str) = str |
|
377 |
| string_of_symbol (Interpreted_ExtraLogic interpreted_symbol) = string_of_interpreted_symbol interpreted_symbol |
|
378 |
| string_of_symbol (Interpreted_Logic logic_symbol) = string_of_logic_symbol logic_symbol |
|
379 |
| string_of_symbol (TypeSymbol tptp_base_type) = string_of_tptp_base_type tptp_base_type |
|
380 |
| string_of_symbol (System str) = str |
|
381 |
||
382 |
and string_of_tptp_base_type Type_Ind = "$i" |
|
383 |
| string_of_tptp_base_type Type_Bool = "$o" |
|
384 |
| string_of_tptp_base_type Type_Type = "$tType" |
|
385 |
| string_of_tptp_base_type Type_Int = "$int" |
|
386 |
| string_of_tptp_base_type Type_Rat = "$rat" |
|
387 |
| string_of_tptp_base_type Type_Real = "$real" |
|
388 |
||
389 |
and string_of_interpreted_symbol x = |
|
390 |
case x of |
|
391 |
UMinus => "$uminus" |
|
392 |
| Sum => "$sum" |
|
393 |
| Difference => "$difference" |
|
394 |
| Product => "$product" |
|
395 |
| Quotient => "$quotient" |
|
396 |
| Quotient_E => "$quotient_e" |
|
397 |
| Quotient_T => "$quotient_t" |
|
398 |
| Quotient_F => "$quotient_f" |
|
399 |
| Remainder_E => "$remainder_e" |
|
400 |
| Remainder_T => "$remainder_t" |
|
401 |
| Remainder_F => "$remainder_f" |
|
402 |
| Floor => "$floor" |
|
403 |
| Ceiling => "$ceiling" |
|
404 |
| Truncate => "$truncate" |
|
405 |
| Round => "$round" |
|
406 |
| To_Int => "$to_int" |
|
407 |
| To_Rat => "$to_rat" |
|
408 |
| To_Real => "$to_real" |
|
409 |
| Less => "$less" |
|
410 |
| LessEq => "$lesseq" |
|
411 |
| Greater => "$greater" |
|
412 |
| GreaterEq => "$greatereq" |
|
413 |
| EvalEq => "$evaleq" |
|
414 |
| Is_Int => "$is_int" |
|
415 |
| Is_Rat => "$is_rat" |
|
416 |
| Apply => "@" |
|
417 |
||
418 |
and string_of_logic_symbol Equals = "=" |
|
419 |
| string_of_logic_symbol NEquals = "!=" |
|
420 |
| string_of_logic_symbol Or = "|" |
|
421 |
| string_of_logic_symbol And = "&" |
|
422 |
| string_of_logic_symbol Iff = "<=>" |
|
423 |
| string_of_logic_symbol If = "=>" |
|
424 |
| string_of_logic_symbol Fi = "<=" |
|
425 |
| string_of_logic_symbol Xor = "<~>" |
|
426 |
| string_of_logic_symbol Nor = "~|" |
|
427 |
| string_of_logic_symbol Nand = "~&" |
|
428 |
| string_of_logic_symbol Not = "~" |
|
429 |
| string_of_logic_symbol Op_Forall = "!!" |
|
430 |
| string_of_logic_symbol Op_Exists = "??" |
|
431 |
| string_of_logic_symbol True = "$true" |
|
432 |
| string_of_logic_symbol False = "$false" |
|
433 |
||
434 |
and string_of_quantifier Forall = "!" |
|
435 |
| string_of_quantifier Exists = "?" |
|
436 |
| string_of_quantifier Epsilon = "@+" |
|
437 |
| string_of_quantifier Iota = "@-" |
|
438 |
| string_of_quantifier Lambda = "^" |
|
439 |
| string_of_quantifier Dep_Prod = "!>" |
|
440 |
| string_of_quantifier Dep_Sum = "?*" |
|
441 |
||
442 |
and string_of_tptp_atom (TFF_Typed_Atom (symbol, tptp_type_option)) = |
|
443 |
(case tptp_type_option of |
|
444 |
NONE => string_of_symbol symbol |
|
445 |
| SOME tptp_type => |
|
446 |
string_of_symbol symbol ^ " : " ^ string_of_tptp_type tptp_type) |
|
447 |
| string_of_tptp_atom (THF_Atom_term tptp_term) = string_of_tptp_term tptp_term |
|
448 |
| string_of_tptp_atom (THF_Atom_conn_term symbol) = string_of_symbol symbol |
|
449 |
||
450 |
and string_of_tptp_formula (Pred (symbol, tptp_term_list)) = |
|
451 |
"(" ^ string_of_symbol symbol ^ |
|
47426 | 452 |
space_implode " " (map string_of_tptp_term tptp_term_list) ^ ")" |
46844 | 453 |
| string_of_tptp_formula (Fmla (symbol, tptp_formula_list)) = |
454 |
"(" ^ |
|
455 |
string_of_symbol symbol ^ |
|
47426 | 456 |
space_implode " " (map string_of_tptp_formula tptp_formula_list) ^ ")" |
46844 | 457 |
| string_of_tptp_formula (Sequent (tptp_formula_list1, tptp_formula_list2)) = "" (*FIXME*) |
458 |
| string_of_tptp_formula (Quant (quantifier, varlist, tptp_formula)) = |
|
459 |
string_of_quantifier quantifier ^ "[" ^ |
|
47426 | 460 |
space_implode ", " (map (fn (n, ty) => |
46844 | 461 |
case ty of |
462 |
NONE => n |
|
463 |
| SOME ty => n ^ " : " ^ string_of_tptp_type ty) varlist) ^ "] : (" ^ |
|
464 |
string_of_tptp_formula tptp_formula ^ ")" |
|
465 |
| string_of_tptp_formula (Conditional _) = "" (*FIXME*) |
|
466 |
| string_of_tptp_formula (Let _) = "" (*FIXME*) |
|
467 |
| string_of_tptp_formula (Atom tptp_atom) = string_of_tptp_atom tptp_atom |
|
47360 | 468 |
| string_of_tptp_formula (Type_fmla tptp_type) = string_of_tptp_type tptp_type |
46844 | 469 |
| string_of_tptp_formula (THF_typing (tptp_formula, tptp_type)) = |
470 |
string_of_tptp_formula tptp_formula ^ " : " ^ string_of_tptp_type tptp_type |
|
471 |
||
472 |
and string_of_tptp_type (Prod_type (tptp_type1, tptp_type2)) = |
|
473 |
string_of_tptp_type tptp_type1 ^ " * " ^ string_of_tptp_type tptp_type2 |
|
474 |
| string_of_tptp_type (Fn_type (tptp_type1, tptp_type2)) = |
|
475 |
string_of_tptp_type tptp_type1 ^ " > " ^ string_of_tptp_type tptp_type2 |
|
476 |
| string_of_tptp_type (Atom_type str) = str |
|
477 |
| string_of_tptp_type (Defined_type tptp_base_type) = |
|
478 |
string_of_tptp_base_type tptp_base_type |
|
479 |
| string_of_tptp_type (Sum_type (tptp_type1, tptp_type2)) = "" |
|
480 |
| string_of_tptp_type (Fmla_type tptp_formula) = string_of_tptp_formula tptp_formula |
|
481 |
| string_of_tptp_type (Subtype (symbol1, symbol2)) = |
|
482 |
string_of_symbol symbol1 ^ " << " ^ string_of_symbol symbol2 |
|
483 |
||
484 |
end |