author | haftmann |
Wed, 28 Apr 2010 21:41:06 +0200 | |
changeset 36528 | 48c35032d060 |
parent 29939 | 2138ff0ec94a |
permissions | -rw-r--r-- |
36528 | 1 |
(* Generated from Cooper.thy; DO NOT EDIT! *) |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
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2 |
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36528 | 3 |
structure Generated_Cooper : sig |
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type 'a eq |
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val eq : 'a eq -> 'a -> 'a -> bool |
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val eqa : 'a eq -> 'a -> 'a -> bool |
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val leta : 'a -> ('a -> 'b) -> 'b |
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val suc : IntInf.int -> IntInf.int |
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datatype num = C of IntInf.int | Bound of IntInf.int | |
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Cn of IntInf.int * IntInf.int * num | Neg of num | Add of num * num | |
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Sub of num * num | Mul of IntInf.int * num |
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datatype fm = T | F | Lt of num | Le of num | Gt of num | Ge of num | |
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Eq of num | NEq of num | Dvd of IntInf.int * num | NDvd of IntInf.int * num |
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| Not of fm | And of fm * fm | Or of fm * fm | Imp of fm * fm | |
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Iff of fm * fm | E of fm | A of fm | Closed of IntInf.int | |
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NClosed of IntInf.int |
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val map : ('a -> 'b) -> 'a list -> 'b list |
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val append : 'a list -> 'a list -> 'a list |
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val disjuncts : fm -> fm list |
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val fm_case : |
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'a -> 'a -> (num -> 'a) -> |
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(num -> 'a) -> |
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(num -> 'a) -> |
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(num -> 'a) -> |
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(num -> 'a) -> |
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(num -> 'a) -> |
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(IntInf.int -> num -> 'a) -> |
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(IntInf.int -> num -> 'a) -> |
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(fm -> 'a) -> |
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(fm -> fm -> 'a) -> |
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(fm -> fm -> 'a) -> |
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(fm -> fm -> 'a) -> |
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(fm -> fm -> 'a) -> |
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(fm -> 'a) -> |
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(fm -> 'a) -> (IntInf.int -> 'a) -> (IntInf.int -> 'a) -> fm -> 'a |
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val eq_num : num -> num -> bool |
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val eq_fm : fm -> fm -> bool |
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val djf : ('a -> fm) -> 'a -> fm -> fm |
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val foldr : ('a -> 'b -> 'b) -> 'a list -> 'b -> 'b |
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val evaldjf : ('a -> fm) -> 'a list -> fm |
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val dj : (fm -> fm) -> fm -> fm |
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val disj : fm -> fm -> fm |
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val minus_nat : IntInf.int -> IntInf.int -> IntInf.int |
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val decrnum : num -> num |
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val decr : fm -> fm |
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val concat_map : ('a -> 'b list) -> 'a list -> 'b list |
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val numsubst0 : num -> num -> num |
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val subst0 : num -> fm -> fm |
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val minusinf : fm -> fm |
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val eq_int : IntInf.int eq |
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val zero_int : IntInf.int |
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type 'a zero |
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val zero : 'a zero -> 'a |
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val zero_inta : IntInf.int zero |
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type 'a times |
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val times : 'a times -> 'a -> 'a -> 'a |
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type 'a no_zero_divisors |
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val times_no_zero_divisors : 'a no_zero_divisors -> 'a times |
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val zero_no_zero_divisors : 'a no_zero_divisors -> 'a zero |
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val times_int : IntInf.int times |
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val no_zero_divisors_int : IntInf.int no_zero_divisors |
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type 'a one |
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val one : 'a one -> 'a |
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type 'a zero_neq_one |
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val one_zero_neq_one : 'a zero_neq_one -> 'a one |
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val zero_zero_neq_one : 'a zero_neq_one -> 'a zero |
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type 'a semigroup_mult |
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val times_semigroup_mult : 'a semigroup_mult -> 'a times |
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type 'a plus |
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val plus : 'a plus -> 'a -> 'a -> 'a |
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type 'a semigroup_add |
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val plus_semigroup_add : 'a semigroup_add -> 'a plus |
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type 'a ab_semigroup_add |
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val semigroup_add_ab_semigroup_add : 'a ab_semigroup_add -> 'a semigroup_add |
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type 'a semiring |
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val ab_semigroup_add_semiring : 'a semiring -> 'a ab_semigroup_add |
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val semigroup_mult_semiring : 'a semiring -> 'a semigroup_mult |
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type 'a mult_zero |
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val times_mult_zero : 'a mult_zero -> 'a times |
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val zero_mult_zero : 'a mult_zero -> 'a zero |
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type 'a monoid_add |
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val semigroup_add_monoid_add : 'a monoid_add -> 'a semigroup_add |
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val zero_monoid_add : 'a monoid_add -> 'a zero |
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type 'a comm_monoid_add |
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val ab_semigroup_add_comm_monoid_add : |
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'a comm_monoid_add -> 'a ab_semigroup_add |
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val monoid_add_comm_monoid_add : 'a comm_monoid_add -> 'a monoid_add |
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type 'a semiring_0 |
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val comm_monoid_add_semiring_0 : 'a semiring_0 -> 'a comm_monoid_add |
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val mult_zero_semiring_0 : 'a semiring_0 -> 'a mult_zero |
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val semiring_semiring_0 : 'a semiring_0 -> 'a semiring |
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type 'a power |
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val one_power : 'a power -> 'a one |
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val times_power : 'a power -> 'a times |
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type 'a monoid_mult |
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val semigroup_mult_monoid_mult : 'a monoid_mult -> 'a semigroup_mult |
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val power_monoid_mult : 'a monoid_mult -> 'a power |
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type 'a semiring_1 |
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val monoid_mult_semiring_1 : 'a semiring_1 -> 'a monoid_mult |
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val semiring_0_semiring_1 : 'a semiring_1 -> 'a semiring_0 |
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val zero_neq_one_semiring_1 : 'a semiring_1 -> 'a zero_neq_one |
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type 'a cancel_semigroup_add |
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val semigroup_add_cancel_semigroup_add : |
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'a cancel_semigroup_add -> 'a semigroup_add |
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type 'a cancel_ab_semigroup_add |
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val ab_semigroup_add_cancel_ab_semigroup_add : |
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'a cancel_ab_semigroup_add -> 'a ab_semigroup_add |
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val cancel_semigroup_add_cancel_ab_semigroup_add : |
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'a cancel_ab_semigroup_add -> 'a cancel_semigroup_add |
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type 'a cancel_comm_monoid_add |
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val cancel_ab_semigroup_add_cancel_comm_monoid_add : |
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'a cancel_comm_monoid_add -> 'a cancel_ab_semigroup_add |
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val comm_monoid_add_cancel_comm_monoid_add : |
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'a cancel_comm_monoid_add -> 'a comm_monoid_add |
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type 'a semiring_0_cancel |
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val cancel_comm_monoid_add_semiring_0_cancel : |
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'a semiring_0_cancel -> 'a cancel_comm_monoid_add |
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val semiring_0_semiring_0_cancel : 'a semiring_0_cancel -> 'a semiring_0 |
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type 'a semiring_1_cancel |
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val semiring_0_cancel_semiring_1_cancel : |
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'a semiring_1_cancel -> 'a semiring_0_cancel |
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val semiring_1_semiring_1_cancel : 'a semiring_1_cancel -> 'a semiring_1 |
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type 'a dvd |
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val times_dvd : 'a dvd -> 'a times |
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type 'a ab_semigroup_mult |
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val semigroup_mult_ab_semigroup_mult : |
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'a ab_semigroup_mult -> 'a semigroup_mult |
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type 'a comm_semiring |
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val ab_semigroup_mult_comm_semiring : 'a comm_semiring -> 'a ab_semigroup_mult |
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val semiring_comm_semiring : 'a comm_semiring -> 'a semiring |
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type 'a comm_semiring_0 |
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val comm_semiring_comm_semiring_0 : 'a comm_semiring_0 -> 'a comm_semiring |
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val semiring_0_comm_semiring_0 : 'a comm_semiring_0 -> 'a semiring_0 |
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type 'a comm_monoid_mult |
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val ab_semigroup_mult_comm_monoid_mult : |
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'a comm_monoid_mult -> 'a ab_semigroup_mult |
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val monoid_mult_comm_monoid_mult : 'a comm_monoid_mult -> 'a monoid_mult |
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type 'a comm_semiring_1 |
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val comm_monoid_mult_comm_semiring_1 : |
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'a comm_semiring_1 -> 'a comm_monoid_mult |
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val comm_semiring_0_comm_semiring_1 : 'a comm_semiring_1 -> 'a comm_semiring_0 |
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val dvd_comm_semiring_1 : 'a comm_semiring_1 -> 'a dvd |
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val semiring_1_comm_semiring_1 : 'a comm_semiring_1 -> 'a semiring_1 |
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type 'a comm_semiring_0_cancel |
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val comm_semiring_0_comm_semiring_0_cancel : |
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'a comm_semiring_0_cancel -> 'a comm_semiring_0 |
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val semiring_0_cancel_comm_semiring_0_cancel : |
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'a comm_semiring_0_cancel -> 'a semiring_0_cancel |
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type 'a comm_semiring_1_cancel |
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val comm_semiring_0_cancel_comm_semiring_1_cancel : |
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'a comm_semiring_1_cancel -> 'a comm_semiring_0_cancel |
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val comm_semiring_1_comm_semiring_1_cancel : |
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'a comm_semiring_1_cancel -> 'a comm_semiring_1 |
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val semiring_1_cancel_comm_semiring_1_cancel : |
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'a comm_semiring_1_cancel -> 'a semiring_1_cancel |
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type 'a diva |
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val dvd_div : 'a diva -> 'a dvd |
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val diva : 'a diva -> 'a -> 'a -> 'a |
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val moda : 'a diva -> 'a -> 'a -> 'a |
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type 'a semiring_div |
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val div_semiring_div : 'a semiring_div -> 'a diva |
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val comm_semiring_1_cancel_semiring_div : |
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'a semiring_div -> 'a comm_semiring_1_cancel |
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val no_zero_divisors_semiring_div : 'a semiring_div -> 'a no_zero_divisors |
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val one_int : IntInf.int |
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val one_inta : IntInf.int one |
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val zero_neq_one_int : IntInf.int zero_neq_one |
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val semigroup_mult_int : IntInf.int semigroup_mult |
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val plus_int : IntInf.int plus |
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val semigroup_add_int : IntInf.int semigroup_add |
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val ab_semigroup_add_int : IntInf.int ab_semigroup_add |
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val semiring_int : IntInf.int semiring |
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val mult_zero_int : IntInf.int mult_zero |
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val monoid_add_int : IntInf.int monoid_add |
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val comm_monoid_add_int : IntInf.int comm_monoid_add |
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val semiring_0_int : IntInf.int semiring_0 |
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val power_int : IntInf.int power |
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val monoid_mult_int : IntInf.int monoid_mult |
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val semiring_1_int : IntInf.int semiring_1 |
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val cancel_semigroup_add_int : IntInf.int cancel_semigroup_add |
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val cancel_ab_semigroup_add_int : IntInf.int cancel_ab_semigroup_add |
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val cancel_comm_monoid_add_int : IntInf.int cancel_comm_monoid_add |
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val semiring_0_cancel_int : IntInf.int semiring_0_cancel |
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val semiring_1_cancel_int : IntInf.int semiring_1_cancel |
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val dvd_int : IntInf.int dvd |
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val ab_semigroup_mult_int : IntInf.int ab_semigroup_mult |
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val comm_semiring_int : IntInf.int comm_semiring |
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val comm_semiring_0_int : IntInf.int comm_semiring_0 |
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val comm_monoid_mult_int : IntInf.int comm_monoid_mult |
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val comm_semiring_1_int : IntInf.int comm_semiring_1 |
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val comm_semiring_0_cancel_int : IntInf.int comm_semiring_0_cancel |
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val comm_semiring_1_cancel_int : IntInf.int comm_semiring_1_cancel |
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val abs_int : IntInf.int -> IntInf.int |
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val split : ('a -> 'b -> 'c) -> 'a * 'b -> 'c |
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val sgn_int : IntInf.int -> IntInf.int |
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val apsnd : ('a -> 'b) -> 'c * 'a -> 'c * 'b |
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val divmod_int : IntInf.int -> IntInf.int -> IntInf.int * IntInf.int |
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val snd : 'a * 'b -> 'b |
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val mod_int : IntInf.int -> IntInf.int -> IntInf.int |
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val fst : 'a * 'b -> 'a |
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val div_int : IntInf.int -> IntInf.int -> IntInf.int |
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val div_inta : IntInf.int diva |
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val semiring_div_int : IntInf.int semiring_div |
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val dvd : 'a semiring_div * 'a eq -> 'a -> 'a -> bool |
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val num_case : |
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(IntInf.int -> 'a) -> |
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(IntInf.int -> 'a) -> |
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(IntInf.int -> IntInf.int -> num -> 'a) -> |
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(num -> 'a) -> |
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(num -> num -> 'a) -> |
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(num -> num -> 'a) -> (IntInf.int -> num -> 'a) -> num -> 'a |
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val nummul : IntInf.int -> num -> num |
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val numneg : num -> num |
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val numadd : num * num -> num |
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val numsub : num -> num -> num |
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val simpnum : num -> num |
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val nota : fm -> fm |
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val iffa : fm -> fm -> fm |
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val impa : fm -> fm -> fm |
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val conj : fm -> fm -> fm |
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val simpfm : fm -> fm |
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val iupt : IntInf.int -> IntInf.int -> IntInf.int list |
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val mirror : fm -> fm |
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val size_list : 'a list -> IntInf.int |
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val alpha : fm -> num list |
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val beta : fm -> num list |
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val eq_numa : num eq |
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val member : 'a eq -> 'a -> 'a list -> bool |
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val remdups : 'a eq -> 'a list -> 'a list |
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val gcd_int : IntInf.int -> IntInf.int -> IntInf.int |
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val lcm_int : IntInf.int -> IntInf.int -> IntInf.int |
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val delta : fm -> IntInf.int |
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val a_beta : fm -> IntInf.int -> fm |
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val zeta : fm -> IntInf.int |
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val zsplit0 : num -> IntInf.int * num |
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val zlfm : fm -> fm |
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val unita : fm -> fm * (num list * IntInf.int) |
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val cooper : fm -> fm |
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val prep : fm -> fm |
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val qelim : fm -> (fm -> fm) -> fm |
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val pa : fm -> fm |
|
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end = struct |
|
23466 | 243 |
|
23714 | 244 |
type 'a eq = {eq : 'a -> 'a -> bool}; |
36528 | 245 |
val eq = #eq : 'a eq -> 'a -> 'a -> bool; |
29787 | 246 |
|
36528 | 247 |
fun eqa A_ a b = eq A_ a b; |
29787 | 248 |
|
249 |
fun leta s f = f s; |
|
250 |
||
36528 | 251 |
fun suc n = IntInf.+ (n, (1 : IntInf.int)); |
29787 | 252 |
|
36528 | 253 |
datatype num = C of IntInf.int | Bound of IntInf.int | |
254 |
Cn of IntInf.int * IntInf.int * num | Neg of num | Add of num * num | |
|
255 |
Sub of num * num | Mul of IntInf.int * num; |
|
29787 | 256 |
|
36528 | 257 |
datatype fm = T | F | Lt of num | Le of num | Gt of num | Ge of num | Eq of num |
258 |
| NEq of num | Dvd of IntInf.int * num | NDvd of IntInf.int * num | Not of fm |
|
259 |
| And of fm * fm | Or of fm * fm | Imp of fm * fm | Iff of fm * fm | E of fm | |
|
260 |
A of fm | Closed of IntInf.int | NClosed of IntInf.int; |
|
29787 | 261 |
|
262 |
fun map f [] = [] |
|
263 |
| map f (x :: xs) = f x :: map f xs; |
|
264 |
||
29939 | 265 |
fun append [] ys = ys |
29787 | 266 |
| append (x :: xs) ys = x :: append xs ys; |
267 |
||
268 |
fun disjuncts (Or (p, q)) = append (disjuncts p) (disjuncts q) |
|
269 |
| disjuncts F = [] |
|
270 |
| disjuncts T = [T] |
|
271 |
| disjuncts (Lt u) = [Lt u] |
|
272 |
| disjuncts (Le v) = [Le v] |
|
273 |
| disjuncts (Gt w) = [Gt w] |
|
274 |
| disjuncts (Ge x) = [Ge x] |
|
275 |
| disjuncts (Eq y) = [Eq y] |
|
276 |
| disjuncts (NEq z) = [NEq z] |
|
277 |
| disjuncts (Dvd (aa, ab)) = [Dvd (aa, ab)] |
|
278 |
| disjuncts (NDvd (ac, ad)) = [NDvd (ac, ad)] |
|
279 |
| disjuncts (Not ae) = [Not ae] |
|
280 |
| disjuncts (And (af, ag)) = [And (af, ag)] |
|
281 |
| disjuncts (Imp (aj, ak)) = [Imp (aj, ak)] |
|
282 |
| disjuncts (Iff (al, am)) = [Iff (al, am)] |
|
283 |
| disjuncts (E an) = [E an] |
|
284 |
| disjuncts (A ao) = [A ao] |
|
285 |
| disjuncts (Closed ap) = [Closed ap] |
|
286 |
| disjuncts (NClosed aq) = [NClosed aq]; |
|
287 |
||
288 |
fun fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
289 |
(NClosed nat) = f19 nat |
|
290 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
291 |
(Closed nat) = f18 nat |
|
292 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
293 |
(A fm) = f17 fm |
|
294 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
295 |
(E fm) = f16 fm |
|
296 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
297 |
(Iff (fm1, fm2)) = f15 fm1 fm2 |
|
298 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
299 |
(Imp (fm1, fm2)) = f14 fm1 fm2 |
|
300 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
301 |
(Or (fm1, fm2)) = f13 fm1 fm2 |
|
302 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
303 |
(And (fm1, fm2)) = f12 fm1 fm2 |
|
304 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
305 |
(Not fm) = f11 fm |
|
306 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
307 |
(NDvd (inta, num)) = f10 inta num |
|
308 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
309 |
(Dvd (inta, num)) = f9 inta num |
|
310 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
311 |
(NEq num) = f8 num |
|
312 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
313 |
(Eq num) = f7 num |
|
314 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
315 |
(Ge num) = f6 num |
|
316 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
317 |
(Gt num) = f5 num |
|
318 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
319 |
(Le num) = f4 num |
|
320 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 |
|
321 |
(Lt num) = f3 num |
|
29939 | 322 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 F |
323 |
= f2 |
|
324 |
| fm_case f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17 f18 f19 T |
|
325 |
= f1; |
|
29787 | 326 |
|
36528 | 327 |
fun eq_num (C intaa) (C inta) = ((intaa : IntInf.int) = inta) |
328 |
| eq_num (Bound nata) (Bound nat) = ((nata : IntInf.int) = nat) |
|
329 |
| eq_num (Cn (nata, intaa, numa)) (Cn (nat, inta, num)) = |
|
330 |
((nata : IntInf.int) = nat) andalso |
|
331 |
(((intaa : IntInf.int) = inta) andalso eq_num numa num) |
|
332 |
| eq_num (Neg numa) (Neg num) = eq_num numa num |
|
333 |
| eq_num (Add (num1a, num2a)) (Add (num1, num2)) = |
|
334 |
eq_num num1a num1 andalso eq_num num2a num2 |
|
335 |
| eq_num (Sub (num1a, num2a)) (Sub (num1, num2)) = |
|
336 |
eq_num num1a num1 andalso eq_num num2a num2 |
|
337 |
| eq_num (Mul (intaa, numa)) (Mul (inta, num)) = |
|
338 |
((intaa : IntInf.int) = inta) andalso eq_num numa num |
|
339 |
| eq_num (C inta) (Bound nat) = false |
|
340 |
| eq_num (Bound nat) (C inta) = false |
|
341 |
| eq_num (C intaa) (Cn (nat, inta, num)) = false |
|
342 |
| eq_num (Cn (nat, intaa, num)) (C inta) = false |
|
343 |
| eq_num (C inta) (Neg num) = false |
|
344 |
| eq_num (Neg num) (C inta) = false |
|
345 |
| eq_num (C inta) (Add (num1, num2)) = false |
|
346 |
| eq_num (Add (num1, num2)) (C inta) = false |
|
347 |
| eq_num (C inta) (Sub (num1, num2)) = false |
|
348 |
| eq_num (Sub (num1, num2)) (C inta) = false |
|
349 |
| eq_num (C intaa) (Mul (inta, num)) = false |
|
350 |
| eq_num (Mul (intaa, num)) (C inta) = false |
|
351 |
| eq_num (Bound nata) (Cn (nat, inta, num)) = false |
|
352 |
| eq_num (Cn (nata, inta, num)) (Bound nat) = false |
|
353 |
| eq_num (Bound nat) (Neg num) = false |
|
354 |
| eq_num (Neg num) (Bound nat) = false |
|
355 |
| eq_num (Bound nat) (Add (num1, num2)) = false |
|
356 |
| eq_num (Add (num1, num2)) (Bound nat) = false |
|
357 |
| eq_num (Bound nat) (Sub (num1, num2)) = false |
|
358 |
| eq_num (Sub (num1, num2)) (Bound nat) = false |
|
359 |
| eq_num (Bound nat) (Mul (inta, num)) = false |
|
360 |
| eq_num (Mul (inta, num)) (Bound nat) = false |
|
361 |
| eq_num (Cn (nat, inta, numa)) (Neg num) = false |
|
362 |
| eq_num (Neg numa) (Cn (nat, inta, num)) = false |
|
363 |
| eq_num (Cn (nat, inta, num)) (Add (num1, num2)) = false |
|
364 |
| eq_num (Add (num1, num2)) (Cn (nat, inta, num)) = false |
|
365 |
| eq_num (Cn (nat, inta, num)) (Sub (num1, num2)) = false |
|
366 |
| eq_num (Sub (num1, num2)) (Cn (nat, inta, num)) = false |
|
367 |
| eq_num (Cn (nat, intaa, numa)) (Mul (inta, num)) = false |
|
368 |
| eq_num (Mul (intaa, numa)) (Cn (nat, inta, num)) = false |
|
369 |
| eq_num (Neg num) (Add (num1, num2)) = false |
|
370 |
| eq_num (Add (num1, num2)) (Neg num) = false |
|
371 |
| eq_num (Neg num) (Sub (num1, num2)) = false |
|
372 |
| eq_num (Sub (num1, num2)) (Neg num) = false |
|
373 |
| eq_num (Neg numa) (Mul (inta, num)) = false |
|
374 |
| eq_num (Mul (inta, numa)) (Neg num) = false |
|
375 |
| eq_num (Add (num1a, num2a)) (Sub (num1, num2)) = false |
|
376 |
| eq_num (Sub (num1a, num2a)) (Add (num1, num2)) = false |
|
377 |
| eq_num (Add (num1, num2)) (Mul (inta, num)) = false |
|
378 |
| eq_num (Mul (inta, num)) (Add (num1, num2)) = false |
|
379 |
| eq_num (Sub (num1, num2)) (Mul (inta, num)) = false |
|
380 |
| eq_num (Mul (inta, num)) (Sub (num1, num2)) = false; |
|
29787 | 381 |
|
36528 | 382 |
fun eq_fm T T = true |
383 |
| eq_fm F F = true |
|
384 |
| eq_fm (Lt numa) (Lt num) = eq_num numa num |
|
385 |
| eq_fm (Le numa) (Le num) = eq_num numa num |
|
386 |
| eq_fm (Gt numa) (Gt num) = eq_num numa num |
|
387 |
| eq_fm (Ge numa) (Ge num) = eq_num numa num |
|
388 |
| eq_fm (Eq numa) (Eq num) = eq_num numa num |
|
389 |
| eq_fm (NEq numa) (NEq num) = eq_num numa num |
|
390 |
| eq_fm (Dvd (intaa, numa)) (Dvd (inta, num)) = |
|
391 |
((intaa : IntInf.int) = inta) andalso eq_num numa num |
|
392 |
| eq_fm (NDvd (intaa, numa)) (NDvd (inta, num)) = |
|
393 |
((intaa : IntInf.int) = inta) andalso eq_num numa num |
|
394 |
| eq_fm (Not fma) (Not fm) = eq_fm fma fm |
|
395 |
| eq_fm (And (fm1a, fm2a)) (And (fm1, fm2)) = |
|
396 |
eq_fm fm1a fm1 andalso eq_fm fm2a fm2 |
|
397 |
| eq_fm (Or (fm1a, fm2a)) (Or (fm1, fm2)) = |
|
398 |
eq_fm fm1a fm1 andalso eq_fm fm2a fm2 |
|
399 |
| eq_fm (Imp (fm1a, fm2a)) (Imp (fm1, fm2)) = |
|
400 |
eq_fm fm1a fm1 andalso eq_fm fm2a fm2 |
|
401 |
| eq_fm (Iff (fm1a, fm2a)) (Iff (fm1, fm2)) = |
|
402 |
eq_fm fm1a fm1 andalso eq_fm fm2a fm2 |
|
403 |
| eq_fm (E fma) (E fm) = eq_fm fma fm |
|
404 |
| eq_fm (A fma) (A fm) = eq_fm fma fm |
|
405 |
| eq_fm (Closed nata) (Closed nat) = ((nata : IntInf.int) = nat) |
|
406 |
| eq_fm (NClosed nata) (NClosed nat) = ((nata : IntInf.int) = nat) |
|
407 |
| eq_fm T F = false |
|
29787 | 408 |
| eq_fm F T = false |
36528 | 409 |
| eq_fm T (Lt num) = false |
410 |
| eq_fm (Lt num) T = false |
|
411 |
| eq_fm T (Le num) = false |
|
412 |
| eq_fm (Le num) T = false |
|
413 |
| eq_fm T (Gt num) = false |
|
414 |
| eq_fm (Gt num) T = false |
|
415 |
| eq_fm T (Ge num) = false |
|
416 |
| eq_fm (Ge num) T = false |
|
417 |
| eq_fm T (Eq num) = false |
|
418 |
| eq_fm (Eq num) T = false |
|
419 |
| eq_fm T (NEq num) = false |
|
420 |
| eq_fm (NEq num) T = false |
|
421 |
| eq_fm T (Dvd (inta, num)) = false |
|
422 |
| eq_fm (Dvd (inta, num)) T = false |
|
423 |
| eq_fm T (NDvd (inta, num)) = false |
|
424 |
| eq_fm (NDvd (inta, num)) T = false |
|
425 |
| eq_fm T (Not fm) = false |
|
426 |
| eq_fm (Not fm) T = false |
|
427 |
| eq_fm T (And (fm1, fm2)) = false |
|
428 |
| eq_fm (And (fm1, fm2)) T = false |
|
429 |
| eq_fm T (Or (fm1, fm2)) = false |
|
430 |
| eq_fm (Or (fm1, fm2)) T = false |
|
431 |
| eq_fm T (Imp (fm1, fm2)) = false |
|
432 |
| eq_fm (Imp (fm1, fm2)) T = false |
|
433 |
| eq_fm T (Iff (fm1, fm2)) = false |
|
434 |
| eq_fm (Iff (fm1, fm2)) T = false |
|
435 |
| eq_fm T (E fm) = false |
|
436 |
| eq_fm (E fm) T = false |
|
437 |
| eq_fm T (A fm) = false |
|
438 |
| eq_fm (A fm) T = false |
|
439 |
| eq_fm T (Closed nat) = false |
|
440 |
| eq_fm (Closed nat) T = false |
|
441 |
| eq_fm T (NClosed nat) = false |
|
442 |
| eq_fm (NClosed nat) T = false |
|
443 |
| eq_fm F (Lt num) = false |
|
444 |
| eq_fm (Lt num) F = false |
|
445 |
| eq_fm F (Le num) = false |
|
446 |
| eq_fm (Le num) F = false |
|
447 |
| eq_fm F (Gt num) = false |
|
448 |
| eq_fm (Gt num) F = false |
|
449 |
| eq_fm F (Ge num) = false |
|
450 |
| eq_fm (Ge num) F = false |
|
451 |
| eq_fm F (Eq num) = false |
|
452 |
| eq_fm (Eq num) F = false |
|
453 |
| eq_fm F (NEq num) = false |
|
454 |
| eq_fm (NEq num) F = false |
|
455 |
| eq_fm F (Dvd (inta, num)) = false |
|
456 |
| eq_fm (Dvd (inta, num)) F = false |
|
457 |
| eq_fm F (NDvd (inta, num)) = false |
|
458 |
| eq_fm (NDvd (inta, num)) F = false |
|
459 |
| eq_fm F (Not fm) = false |
|
460 |
| eq_fm (Not fm) F = false |
|
461 |
| eq_fm F (And (fm1, fm2)) = false |
|
462 |
| eq_fm (And (fm1, fm2)) F = false |
|
463 |
| eq_fm F (Or (fm1, fm2)) = false |
|
464 |
| eq_fm (Or (fm1, fm2)) F = false |
|
465 |
| eq_fm F (Imp (fm1, fm2)) = false |
|
466 |
| eq_fm (Imp (fm1, fm2)) F = false |
|
467 |
| eq_fm F (Iff (fm1, fm2)) = false |
|
468 |
| eq_fm (Iff (fm1, fm2)) F = false |
|
469 |
| eq_fm F (E fm) = false |
|
470 |
| eq_fm (E fm) F = false |
|
471 |
| eq_fm F (A fm) = false |
|
472 |
| eq_fm (A fm) F = false |
|
473 |
| eq_fm F (Closed nat) = false |
|
474 |
| eq_fm (Closed nat) F = false |
|
475 |
| eq_fm F (NClosed nat) = false |
|
476 |
| eq_fm (NClosed nat) F = false |
|
477 |
| eq_fm (Lt numa) (Le num) = false |
|
478 |
| eq_fm (Le numa) (Lt num) = false |
|
479 |
| eq_fm (Lt numa) (Gt num) = false |
|
480 |
| eq_fm (Gt numa) (Lt num) = false |
|
481 |
| eq_fm (Lt numa) (Ge num) = false |
|
482 |
| eq_fm (Ge numa) (Lt num) = false |
|
483 |
| eq_fm (Lt numa) (Eq num) = false |
|
484 |
| eq_fm (Eq numa) (Lt num) = false |
|
485 |
| eq_fm (Lt numa) (NEq num) = false |
|
486 |
| eq_fm (NEq numa) (Lt num) = false |
|
487 |
| eq_fm (Lt numa) (Dvd (inta, num)) = false |
|
488 |
| eq_fm (Dvd (inta, numa)) (Lt num) = false |
|
489 |
| eq_fm (Lt numa) (NDvd (inta, num)) = false |
|
490 |
| eq_fm (NDvd (inta, numa)) (Lt num) = false |
|
491 |
| eq_fm (Lt num) (Not fm) = false |
|
492 |
| eq_fm (Not fm) (Lt num) = false |
|
493 |
| eq_fm (Lt num) (And (fm1, fm2)) = false |
|
494 |
| eq_fm (And (fm1, fm2)) (Lt num) = false |
|
495 |
| eq_fm (Lt num) (Or (fm1, fm2)) = false |
|
496 |
| eq_fm (Or (fm1, fm2)) (Lt num) = false |
|
497 |
| eq_fm (Lt num) (Imp (fm1, fm2)) = false |
|
498 |
| eq_fm (Imp (fm1, fm2)) (Lt num) = false |
|
499 |
| eq_fm (Lt num) (Iff (fm1, fm2)) = false |
|
500 |
| eq_fm (Iff (fm1, fm2)) (Lt num) = false |
|
501 |
| eq_fm (Lt num) (E fm) = false |
|
502 |
| eq_fm (E fm) (Lt num) = false |
|
503 |
| eq_fm (Lt num) (A fm) = false |
|
504 |
| eq_fm (A fm) (Lt num) = false |
|
505 |
| eq_fm (Lt num) (Closed nat) = false |
|
506 |
| eq_fm (Closed nat) (Lt num) = false |
|
507 |
| eq_fm (Lt num) (NClosed nat) = false |
|
508 |
| eq_fm (NClosed nat) (Lt num) = false |
|
509 |
| eq_fm (Le numa) (Gt num) = false |
|
510 |
| eq_fm (Gt numa) (Le num) = false |
|
511 |
| eq_fm (Le numa) (Ge num) = false |
|
512 |
| eq_fm (Ge numa) (Le num) = false |
|
513 |
| eq_fm (Le numa) (Eq num) = false |
|
514 |
| eq_fm (Eq numa) (Le num) = false |
|
515 |
| eq_fm (Le numa) (NEq num) = false |
|
516 |
| eq_fm (NEq numa) (Le num) = false |
|
517 |
| eq_fm (Le numa) (Dvd (inta, num)) = false |
|
518 |
| eq_fm (Dvd (inta, numa)) (Le num) = false |
|
519 |
| eq_fm (Le numa) (NDvd (inta, num)) = false |
|
520 |
| eq_fm (NDvd (inta, numa)) (Le num) = false |
|
521 |
| eq_fm (Le num) (Not fm) = false |
|
522 |
| eq_fm (Not fm) (Le num) = false |
|
523 |
| eq_fm (Le num) (And (fm1, fm2)) = false |
|
524 |
| eq_fm (And (fm1, fm2)) (Le num) = false |
|
525 |
| eq_fm (Le num) (Or (fm1, fm2)) = false |
|
526 |
| eq_fm (Or (fm1, fm2)) (Le num) = false |
|
527 |
| eq_fm (Le num) (Imp (fm1, fm2)) = false |
|
528 |
| eq_fm (Imp (fm1, fm2)) (Le num) = false |
|
529 |
| eq_fm (Le num) (Iff (fm1, fm2)) = false |
|
530 |
| eq_fm (Iff (fm1, fm2)) (Le num) = false |
|
531 |
| eq_fm (Le num) (E fm) = false |
|
532 |
| eq_fm (E fm) (Le num) = false |
|
533 |
| eq_fm (Le num) (A fm) = false |
|
534 |
| eq_fm (A fm) (Le num) = false |
|
535 |
| eq_fm (Le num) (Closed nat) = false |
|
536 |
| eq_fm (Closed nat) (Le num) = false |
|
537 |
| eq_fm (Le num) (NClosed nat) = false |
|
538 |
| eq_fm (NClosed nat) (Le num) = false |
|
539 |
| eq_fm (Gt numa) (Ge num) = false |
|
540 |
| eq_fm (Ge numa) (Gt num) = false |
|
541 |
| eq_fm (Gt numa) (Eq num) = false |
|
542 |
| eq_fm (Eq numa) (Gt num) = false |
|
543 |
| eq_fm (Gt numa) (NEq num) = false |
|
544 |
| eq_fm (NEq numa) (Gt num) = false |
|
545 |
| eq_fm (Gt numa) (Dvd (inta, num)) = false |
|
546 |
| eq_fm (Dvd (inta, numa)) (Gt num) = false |
|
547 |
| eq_fm (Gt numa) (NDvd (inta, num)) = false |
|
548 |
| eq_fm (NDvd (inta, numa)) (Gt num) = false |
|
549 |
| eq_fm (Gt num) (Not fm) = false |
|
550 |
| eq_fm (Not fm) (Gt num) = false |
|
551 |
| eq_fm (Gt num) (And (fm1, fm2)) = false |
|
552 |
| eq_fm (And (fm1, fm2)) (Gt num) = false |
|
553 |
| eq_fm (Gt num) (Or (fm1, fm2)) = false |
|
554 |
| eq_fm (Or (fm1, fm2)) (Gt num) = false |
|
555 |
| eq_fm (Gt num) (Imp (fm1, fm2)) = false |
|
556 |
| eq_fm (Imp (fm1, fm2)) (Gt num) = false |
|
557 |
| eq_fm (Gt num) (Iff (fm1, fm2)) = false |
|
558 |
| eq_fm (Iff (fm1, fm2)) (Gt num) = false |
|
559 |
| eq_fm (Gt num) (E fm) = false |
|
560 |
| eq_fm (E fm) (Gt num) = false |
|
561 |
| eq_fm (Gt num) (A fm) = false |
|
562 |
| eq_fm (A fm) (Gt num) = false |
|
563 |
| eq_fm (Gt num) (Closed nat) = false |
|
564 |
| eq_fm (Closed nat) (Gt num) = false |
|
565 |
| eq_fm (Gt num) (NClosed nat) = false |
|
566 |
| eq_fm (NClosed nat) (Gt num) = false |
|
567 |
| eq_fm (Ge numa) (Eq num) = false |
|
568 |
| eq_fm (Eq numa) (Ge num) = false |
|
569 |
| eq_fm (Ge numa) (NEq num) = false |
|
570 |
| eq_fm (NEq numa) (Ge num) = false |
|
571 |
| eq_fm (Ge numa) (Dvd (inta, num)) = false |
|
572 |
| eq_fm (Dvd (inta, numa)) (Ge num) = false |
|
573 |
| eq_fm (Ge numa) (NDvd (inta, num)) = false |
|
574 |
| eq_fm (NDvd (inta, numa)) (Ge num) = false |
|
575 |
| eq_fm (Ge num) (Not fm) = false |
|
576 |
| eq_fm (Not fm) (Ge num) = false |
|
577 |
| eq_fm (Ge num) (And (fm1, fm2)) = false |
|
578 |
| eq_fm (And (fm1, fm2)) (Ge num) = false |
|
579 |
| eq_fm (Ge num) (Or (fm1, fm2)) = false |
|
580 |
| eq_fm (Or (fm1, fm2)) (Ge num) = false |
|
581 |
| eq_fm (Ge num) (Imp (fm1, fm2)) = false |
|
582 |
| eq_fm (Imp (fm1, fm2)) (Ge num) = false |
|
583 |
| eq_fm (Ge num) (Iff (fm1, fm2)) = false |
|
584 |
| eq_fm (Iff (fm1, fm2)) (Ge num) = false |
|
585 |
| eq_fm (Ge num) (E fm) = false |
|
586 |
| eq_fm (E fm) (Ge num) = false |
|
587 |
| eq_fm (Ge num) (A fm) = false |
|
588 |
| eq_fm (A fm) (Ge num) = false |
|
589 |
| eq_fm (Ge num) (Closed nat) = false |
|
590 |
| eq_fm (Closed nat) (Ge num) = false |
|
591 |
| eq_fm (Ge num) (NClosed nat) = false |
|
592 |
| eq_fm (NClosed nat) (Ge num) = false |
|
593 |
| eq_fm (Eq numa) (NEq num) = false |
|
594 |
| eq_fm (NEq numa) (Eq num) = false |
|
595 |
| eq_fm (Eq numa) (Dvd (inta, num)) = false |
|
596 |
| eq_fm (Dvd (inta, numa)) (Eq num) = false |
|
597 |
| eq_fm (Eq numa) (NDvd (inta, num)) = false |
|
598 |
| eq_fm (NDvd (inta, numa)) (Eq num) = false |
|
599 |
| eq_fm (Eq num) (Not fm) = false |
|
600 |
| eq_fm (Not fm) (Eq num) = false |
|
601 |
| eq_fm (Eq num) (And (fm1, fm2)) = false |
|
602 |
| eq_fm (And (fm1, fm2)) (Eq num) = false |
|
603 |
| eq_fm (Eq num) (Or (fm1, fm2)) = false |
|
604 |
| eq_fm (Or (fm1, fm2)) (Eq num) = false |
|
605 |
| eq_fm (Eq num) (Imp (fm1, fm2)) = false |
|
606 |
| eq_fm (Imp (fm1, fm2)) (Eq num) = false |
|
607 |
| eq_fm (Eq num) (Iff (fm1, fm2)) = false |
|
608 |
| eq_fm (Iff (fm1, fm2)) (Eq num) = false |
|
609 |
| eq_fm (Eq num) (E fm) = false |
|
610 |
| eq_fm (E fm) (Eq num) = false |
|
611 |
| eq_fm (Eq num) (A fm) = false |
|
612 |
| eq_fm (A fm) (Eq num) = false |
|
613 |
| eq_fm (Eq num) (Closed nat) = false |
|
614 |
| eq_fm (Closed nat) (Eq num) = false |
|
615 |
| eq_fm (Eq num) (NClosed nat) = false |
|
616 |
| eq_fm (NClosed nat) (Eq num) = false |
|
617 |
| eq_fm (NEq numa) (Dvd (inta, num)) = false |
|
618 |
| eq_fm (Dvd (inta, numa)) (NEq num) = false |
|
619 |
| eq_fm (NEq numa) (NDvd (inta, num)) = false |
|
620 |
| eq_fm (NDvd (inta, numa)) (NEq num) = false |
|
621 |
| eq_fm (NEq num) (Not fm) = false |
|
622 |
| eq_fm (Not fm) (NEq num) = false |
|
623 |
| eq_fm (NEq num) (And (fm1, fm2)) = false |
|
624 |
| eq_fm (And (fm1, fm2)) (NEq num) = false |
|
625 |
| eq_fm (NEq num) (Or (fm1, fm2)) = false |
|
626 |
| eq_fm (Or (fm1, fm2)) (NEq num) = false |
|
627 |
| eq_fm (NEq num) (Imp (fm1, fm2)) = false |
|
628 |
| eq_fm (Imp (fm1, fm2)) (NEq num) = false |
|
629 |
| eq_fm (NEq num) (Iff (fm1, fm2)) = false |
|
630 |
| eq_fm (Iff (fm1, fm2)) (NEq num) = false |
|
631 |
| eq_fm (NEq num) (E fm) = false |
|
632 |
| eq_fm (E fm) (NEq num) = false |
|
633 |
| eq_fm (NEq num) (A fm) = false |
|
634 |
| eq_fm (A fm) (NEq num) = false |
|
635 |
| eq_fm (NEq num) (Closed nat) = false |
|
636 |
| eq_fm (Closed nat) (NEq num) = false |
|
637 |
| eq_fm (NEq num) (NClosed nat) = false |
|
638 |
| eq_fm (NClosed nat) (NEq num) = false |
|
639 |
| eq_fm (Dvd (intaa, numa)) (NDvd (inta, num)) = false |
|
640 |
| eq_fm (NDvd (intaa, numa)) (Dvd (inta, num)) = false |
|
641 |
| eq_fm (Dvd (inta, num)) (Not fm) = false |
|
642 |
| eq_fm (Not fm) (Dvd (inta, num)) = false |
|
643 |
| eq_fm (Dvd (inta, num)) (And (fm1, fm2)) = false |
|
644 |
| eq_fm (And (fm1, fm2)) (Dvd (inta, num)) = false |
|
645 |
| eq_fm (Dvd (inta, num)) (Or (fm1, fm2)) = false |
|
646 |
| eq_fm (Or (fm1, fm2)) (Dvd (inta, num)) = false |
|
647 |
| eq_fm (Dvd (inta, num)) (Imp (fm1, fm2)) = false |
|
648 |
| eq_fm (Imp (fm1, fm2)) (Dvd (inta, num)) = false |
|
649 |
| eq_fm (Dvd (inta, num)) (Iff (fm1, fm2)) = false |
|
650 |
| eq_fm (Iff (fm1, fm2)) (Dvd (inta, num)) = false |
|
651 |
| eq_fm (Dvd (inta, num)) (E fm) = false |
|
652 |
| eq_fm (E fm) (Dvd (inta, num)) = false |
|
653 |
| eq_fm (Dvd (inta, num)) (A fm) = false |
|
654 |
| eq_fm (A fm) (Dvd (inta, num)) = false |
|
655 |
| eq_fm (Dvd (inta, num)) (Closed nat) = false |
|
656 |
| eq_fm (Closed nat) (Dvd (inta, num)) = false |
|
657 |
| eq_fm (Dvd (inta, num)) (NClosed nat) = false |
|
658 |
| eq_fm (NClosed nat) (Dvd (inta, num)) = false |
|
659 |
| eq_fm (NDvd (inta, num)) (Not fm) = false |
|
660 |
| eq_fm (Not fm) (NDvd (inta, num)) = false |
|
661 |
| eq_fm (NDvd (inta, num)) (And (fm1, fm2)) = false |
|
662 |
| eq_fm (And (fm1, fm2)) (NDvd (inta, num)) = false |
|
663 |
| eq_fm (NDvd (inta, num)) (Or (fm1, fm2)) = false |
|
664 |
| eq_fm (Or (fm1, fm2)) (NDvd (inta, num)) = false |
|
665 |
| eq_fm (NDvd (inta, num)) (Imp (fm1, fm2)) = false |
|
666 |
| eq_fm (Imp (fm1, fm2)) (NDvd (inta, num)) = false |
|
667 |
| eq_fm (NDvd (inta, num)) (Iff (fm1, fm2)) = false |
|
668 |
| eq_fm (Iff (fm1, fm2)) (NDvd (inta, num)) = false |
|
669 |
| eq_fm (NDvd (inta, num)) (E fm) = false |
|
670 |
| eq_fm (E fm) (NDvd (inta, num)) = false |
|
671 |
| eq_fm (NDvd (inta, num)) (A fm) = false |
|
672 |
| eq_fm (A fm) (NDvd (inta, num)) = false |
|
673 |
| eq_fm (NDvd (inta, num)) (Closed nat) = false |
|
674 |
| eq_fm (Closed nat) (NDvd (inta, num)) = false |
|
675 |
| eq_fm (NDvd (inta, num)) (NClosed nat) = false |
|
676 |
| eq_fm (NClosed nat) (NDvd (inta, num)) = false |
|
677 |
| eq_fm (Not fm) (And (fm1, fm2)) = false |
|
678 |
| eq_fm (And (fm1, fm2)) (Not fm) = false |
|
679 |
| eq_fm (Not fm) (Or (fm1, fm2)) = false |
|
680 |
| eq_fm (Or (fm1, fm2)) (Not fm) = false |
|
681 |
| eq_fm (Not fm) (Imp (fm1, fm2)) = false |
|
682 |
| eq_fm (Imp (fm1, fm2)) (Not fm) = false |
|
683 |
| eq_fm (Not fm) (Iff (fm1, fm2)) = false |
|
684 |
| eq_fm (Iff (fm1, fm2)) (Not fm) = false |
|
685 |
| eq_fm (Not fma) (E fm) = false |
|
686 |
| eq_fm (E fma) (Not fm) = false |
|
687 |
| eq_fm (Not fma) (A fm) = false |
|
688 |
| eq_fm (A fma) (Not fm) = false |
|
689 |
| eq_fm (Not fm) (Closed nat) = false |
|
690 |
| eq_fm (Closed nat) (Not fm) = false |
|
691 |
| eq_fm (Not fm) (NClosed nat) = false |
|
692 |
| eq_fm (NClosed nat) (Not fm) = false |
|
693 |
| eq_fm (And (fm1a, fm2a)) (Or (fm1, fm2)) = false |
|
694 |
| eq_fm (Or (fm1a, fm2a)) (And (fm1, fm2)) = false |
|
695 |
| eq_fm (And (fm1a, fm2a)) (Imp (fm1, fm2)) = false |
|
696 |
| eq_fm (Imp (fm1a, fm2a)) (And (fm1, fm2)) = false |
|
697 |
| eq_fm (And (fm1a, fm2a)) (Iff (fm1, fm2)) = false |
|
698 |
| eq_fm (Iff (fm1a, fm2a)) (And (fm1, fm2)) = false |
|
699 |
| eq_fm (And (fm1, fm2)) (E fm) = false |
|
700 |
| eq_fm (E fm) (And (fm1, fm2)) = false |
|
701 |
| eq_fm (And (fm1, fm2)) (A fm) = false |
|
702 |
| eq_fm (A fm) (And (fm1, fm2)) = false |
|
703 |
| eq_fm (And (fm1, fm2)) (Closed nat) = false |
|
704 |
| eq_fm (Closed nat) (And (fm1, fm2)) = false |
|
705 |
| eq_fm (And (fm1, fm2)) (NClosed nat) = false |
|
706 |
| eq_fm (NClosed nat) (And (fm1, fm2)) = false |
|
707 |
| eq_fm (Or (fm1a, fm2a)) (Imp (fm1, fm2)) = false |
|
708 |
| eq_fm (Imp (fm1a, fm2a)) (Or (fm1, fm2)) = false |
|
709 |
| eq_fm (Or (fm1a, fm2a)) (Iff (fm1, fm2)) = false |
|
710 |
| eq_fm (Iff (fm1a, fm2a)) (Or (fm1, fm2)) = false |
|
711 |
| eq_fm (Or (fm1, fm2)) (E fm) = false |
|
712 |
| eq_fm (E fm) (Or (fm1, fm2)) = false |
|
713 |
| eq_fm (Or (fm1, fm2)) (A fm) = false |
|
714 |
| eq_fm (A fm) (Or (fm1, fm2)) = false |
|
715 |
| eq_fm (Or (fm1, fm2)) (Closed nat) = false |
|
716 |
| eq_fm (Closed nat) (Or (fm1, fm2)) = false |
|
717 |
| eq_fm (Or (fm1, fm2)) (NClosed nat) = false |
|
718 |
| eq_fm (NClosed nat) (Or (fm1, fm2)) = false |
|
719 |
| eq_fm (Imp (fm1a, fm2a)) (Iff (fm1, fm2)) = false |
|
720 |
| eq_fm (Iff (fm1a, fm2a)) (Imp (fm1, fm2)) = false |
|
721 |
| eq_fm (Imp (fm1, fm2)) (E fm) = false |
|
722 |
| eq_fm (E fm) (Imp (fm1, fm2)) = false |
|
723 |
| eq_fm (Imp (fm1, fm2)) (A fm) = false |
|
724 |
| eq_fm (A fm) (Imp (fm1, fm2)) = false |
|
725 |
| eq_fm (Imp (fm1, fm2)) (Closed nat) = false |
|
726 |
| eq_fm (Closed nat) (Imp (fm1, fm2)) = false |
|
727 |
| eq_fm (Imp (fm1, fm2)) (NClosed nat) = false |
|
728 |
| eq_fm (NClosed nat) (Imp (fm1, fm2)) = false |
|
729 |
| eq_fm (Iff (fm1, fm2)) (E fm) = false |
|
730 |
| eq_fm (E fm) (Iff (fm1, fm2)) = false |
|
731 |
| eq_fm (Iff (fm1, fm2)) (A fm) = false |
|
732 |
| eq_fm (A fm) (Iff (fm1, fm2)) = false |
|
733 |
| eq_fm (Iff (fm1, fm2)) (Closed nat) = false |
|
734 |
| eq_fm (Closed nat) (Iff (fm1, fm2)) = false |
|
735 |
| eq_fm (Iff (fm1, fm2)) (NClosed nat) = false |
|
736 |
| eq_fm (NClosed nat) (Iff (fm1, fm2)) = false |
|
737 |
| eq_fm (E fma) (A fm) = false |
|
738 |
| eq_fm (A fma) (E fm) = false |
|
739 |
| eq_fm (E fm) (Closed nat) = false |
|
740 |
| eq_fm (Closed nat) (E fm) = false |
|
741 |
| eq_fm (E fm) (NClosed nat) = false |
|
742 |
| eq_fm (NClosed nat) (E fm) = false |
|
743 |
| eq_fm (A fm) (Closed nat) = false |
|
744 |
| eq_fm (Closed nat) (A fm) = false |
|
745 |
| eq_fm (A fm) (NClosed nat) = false |
|
746 |
| eq_fm (NClosed nat) (A fm) = false |
|
747 |
| eq_fm (Closed nata) (NClosed nat) = false |
|
748 |
| eq_fm (NClosed nata) (Closed nat) = false; |
|
29787 | 749 |
|
750 |
fun djf f p q = |
|
36528 | 751 |
(if eq_fm q T then T |
752 |
else (if eq_fm q F then f p |
|
753 |
else (case f p of T => T | F => q | Lt _ => Or (f p, q) |
|
754 |
| Le _ => Or (f p, q) | Gt _ => Or (f p, q) |
|
755 |
| Ge _ => Or (f p, q) | Eq _ => Or (f p, q) |
|
756 |
| NEq _ => Or (f p, q) | Dvd (_, _) => Or (f p, q) |
|
757 |
| NDvd (_, _) => Or (f p, q) | Not _ => Or (f p, q) |
|
758 |
| And (_, _) => Or (f p, q) | Or (_, _) => Or (f p, q) |
|
759 |
| Imp (_, _) => Or (f p, q) | Iff (_, _) => Or (f p, q) |
|
760 |
| E _ => Or (f p, q) | A _ => Or (f p, q) |
|
761 |
| Closed _ => Or (f p, q) | NClosed _ => Or (f p, q)))); |
|
29787 | 762 |
|
29939 | 763 |
fun foldr f [] a = a |
29787 | 764 |
| foldr f (x :: xs) a = f x (foldr f xs a); |
765 |
||
766 |
fun evaldjf f ps = foldr (djf f) ps F; |
|
767 |
||
768 |
fun dj f p = evaldjf f (disjuncts p); |
|
769 |
||
770 |
fun disj p q = |
|
36528 | 771 |
(if eq_fm p T orelse eq_fm q T then T |
772 |
else (if eq_fm p F then q else (if eq_fm q F then p else Or (p, q)))); |
|
29787 | 773 |
|
774 |
fun minus_nat n m = IntInf.max (0, (IntInf.- (n, m))); |
|
775 |
||
36528 | 776 |
fun decrnum (Bound n) = Bound (minus_nat n (1 : IntInf.int)) |
29787 | 777 |
| decrnum (Neg a) = Neg (decrnum a) |
778 |
| decrnum (Add (a, b)) = Add (decrnum a, decrnum b) |
|
779 |
| decrnum (Sub (a, b)) = Sub (decrnum a, decrnum b) |
|
780 |
| decrnum (Mul (c, a)) = Mul (c, decrnum a) |
|
36528 | 781 |
| decrnum (Cn (n, i, a)) = Cn (minus_nat n (1 : IntInf.int), i, decrnum a) |
29787 | 782 |
| decrnum (C u) = C u; |
783 |
||
784 |
fun decr (Lt a) = Lt (decrnum a) |
|
785 |
| decr (Le a) = Le (decrnum a) |
|
786 |
| decr (Gt a) = Gt (decrnum a) |
|
787 |
| decr (Ge a) = Ge (decrnum a) |
|
788 |
| decr (Eq a) = Eq (decrnum a) |
|
789 |
| decr (NEq a) = NEq (decrnum a) |
|
790 |
| decr (Dvd (i, a)) = Dvd (i, decrnum a) |
|
791 |
| decr (NDvd (i, a)) = NDvd (i, decrnum a) |
|
792 |
| decr (Not p) = Not (decr p) |
|
793 |
| decr (And (p, q)) = And (decr p, decr q) |
|
794 |
| decr (Or (p, q)) = Or (decr p, decr q) |
|
795 |
| decr (Imp (p, q)) = Imp (decr p, decr q) |
|
796 |
| decr (Iff (p, q)) = Iff (decr p, decr q) |
|
797 |
| decr T = T |
|
798 |
| decr F = F |
|
799 |
| decr (E ao) = E ao |
|
800 |
| decr (A ap) = A ap |
|
801 |
| decr (Closed aq) = Closed aq |
|
802 |
| decr (NClosed ar) = NClosed ar; |
|
803 |
||
36528 | 804 |
fun concat_map f [] = [] |
805 |
| concat_map f (x :: xs) = append (f x) (concat_map f xs); |
|
29787 | 806 |
|
807 |
fun numsubst0 t (C c) = C c |
|
36528 | 808 |
| numsubst0 t (Bound n) = |
809 |
(if ((n : IntInf.int) = (0 : IntInf.int)) then t else Bound n) |
|
29787 | 810 |
| numsubst0 t (Neg a) = Neg (numsubst0 t a) |
811 |
| numsubst0 t (Add (a, b)) = Add (numsubst0 t a, numsubst0 t b) |
|
812 |
| numsubst0 t (Sub (a, b)) = Sub (numsubst0 t a, numsubst0 t b) |
|
813 |
| numsubst0 t (Mul (i, a)) = Mul (i, numsubst0 t a) |
|
29939 | 814 |
| numsubst0 t (Cn (v, i, a)) = |
36528 | 815 |
(if ((v : IntInf.int) = (0 : IntInf.int)) |
816 |
then Add (Mul (i, t), numsubst0 t a) |
|
817 |
else Cn (suc (minus_nat v (1 : IntInf.int)), i, numsubst0 t a)); |
|
29787 | 818 |
|
819 |
fun subst0 t T = T |
|
820 |
| subst0 t F = F |
|
821 |
| subst0 t (Lt a) = Lt (numsubst0 t a) |
|
822 |
| subst0 t (Le a) = Le (numsubst0 t a) |
|
823 |
| subst0 t (Gt a) = Gt (numsubst0 t a) |
|
824 |
| subst0 t (Ge a) = Ge (numsubst0 t a) |
|
825 |
| subst0 t (Eq a) = Eq (numsubst0 t a) |
|
826 |
| subst0 t (NEq a) = NEq (numsubst0 t a) |
|
827 |
| subst0 t (Dvd (i, a)) = Dvd (i, numsubst0 t a) |
|
828 |
| subst0 t (NDvd (i, a)) = NDvd (i, numsubst0 t a) |
|
829 |
| subst0 t (Not p) = Not (subst0 t p) |
|
830 |
| subst0 t (And (p, q)) = And (subst0 t p, subst0 t q) |
|
831 |
| subst0 t (Or (p, q)) = Or (subst0 t p, subst0 t q) |
|
832 |
| subst0 t (Imp (p, q)) = Imp (subst0 t p, subst0 t q) |
|
833 |
| subst0 t (Iff (p, q)) = Iff (subst0 t p, subst0 t q) |
|
834 |
| subst0 t (Closed p) = Closed p |
|
835 |
| subst0 t (NClosed p) = NClosed p; |
|
836 |
||
837 |
fun minusinf (And (p, q)) = And (minusinf p, minusinf q) |
|
838 |
| minusinf (Or (p, q)) = Or (minusinf p, minusinf q) |
|
839 |
| minusinf T = T |
|
840 |
| minusinf F = F |
|
841 |
| minusinf (Lt (C bo)) = Lt (C bo) |
|
842 |
| minusinf (Lt (Bound bp)) = Lt (Bound bp) |
|
843 |
| minusinf (Lt (Neg bt)) = Lt (Neg bt) |
|
844 |
| minusinf (Lt (Add (bu, bv))) = Lt (Add (bu, bv)) |
|
845 |
| minusinf (Lt (Sub (bw, bx))) = Lt (Sub (bw, bx)) |
|
846 |
| minusinf (Lt (Mul (by, bz))) = Lt (Mul (by, bz)) |
|
847 |
| minusinf (Le (C co)) = Le (C co) |
|
848 |
| minusinf (Le (Bound cp)) = Le (Bound cp) |
|
849 |
| minusinf (Le (Neg ct)) = Le (Neg ct) |
|
850 |
| minusinf (Le (Add (cu, cv))) = Le (Add (cu, cv)) |
|
851 |
| minusinf (Le (Sub (cw, cx))) = Le (Sub (cw, cx)) |
|
852 |
| minusinf (Le (Mul (cy, cz))) = Le (Mul (cy, cz)) |
|
853 |
| minusinf (Gt (C doa)) = Gt (C doa) |
|
854 |
| minusinf (Gt (Bound dp)) = Gt (Bound dp) |
|
855 |
| minusinf (Gt (Neg dt)) = Gt (Neg dt) |
|
856 |
| minusinf (Gt (Add (du, dv))) = Gt (Add (du, dv)) |
|
857 |
| minusinf (Gt (Sub (dw, dx))) = Gt (Sub (dw, dx)) |
|
858 |
| minusinf (Gt (Mul (dy, dz))) = Gt (Mul (dy, dz)) |
|
859 |
| minusinf (Ge (C eo)) = Ge (C eo) |
|
860 |
| minusinf (Ge (Bound ep)) = Ge (Bound ep) |
|
861 |
| minusinf (Ge (Neg et)) = Ge (Neg et) |
|
862 |
| minusinf (Ge (Add (eu, ev))) = Ge (Add (eu, ev)) |
|
863 |
| minusinf (Ge (Sub (ew, ex))) = Ge (Sub (ew, ex)) |
|
864 |
| minusinf (Ge (Mul (ey, ez))) = Ge (Mul (ey, ez)) |
|
865 |
| minusinf (Eq (C fo)) = Eq (C fo) |
|
866 |
| minusinf (Eq (Bound fp)) = Eq (Bound fp) |
|
867 |
| minusinf (Eq (Neg ft)) = Eq (Neg ft) |
|
868 |
| minusinf (Eq (Add (fu, fv))) = Eq (Add (fu, fv)) |
|
869 |
| minusinf (Eq (Sub (fw, fx))) = Eq (Sub (fw, fx)) |
|
870 |
| minusinf (Eq (Mul (fy, fz))) = Eq (Mul (fy, fz)) |
|
871 |
| minusinf (NEq (C go)) = NEq (C go) |
|
872 |
| minusinf (NEq (Bound gp)) = NEq (Bound gp) |
|
873 |
| minusinf (NEq (Neg gt)) = NEq (Neg gt) |
|
874 |
| minusinf (NEq (Add (gu, gv))) = NEq (Add (gu, gv)) |
|
875 |
| minusinf (NEq (Sub (gw, gx))) = NEq (Sub (gw, gx)) |
|
876 |
| minusinf (NEq (Mul (gy, gz))) = NEq (Mul (gy, gz)) |
|
877 |
| minusinf (Dvd (aa, ab)) = Dvd (aa, ab) |
|
878 |
| minusinf (NDvd (ac, ad)) = NDvd (ac, ad) |
|
879 |
| minusinf (Not ae) = Not ae |
|
880 |
| minusinf (Imp (aj, ak)) = Imp (aj, ak) |
|
881 |
| minusinf (Iff (al, am)) = Iff (al, am) |
|
882 |
| minusinf (E an) = E an |
|
883 |
| minusinf (A ao) = A ao |
|
884 |
| minusinf (Closed ap) = Closed ap |
|
885 |
| minusinf (NClosed aq) = NClosed aq |
|
886 |
| minusinf (Lt (Cn (cm, c, e))) = |
|
36528 | 887 |
(if ((cm : IntInf.int) = (0 : IntInf.int)) then T |
888 |
else Lt (Cn (suc (minus_nat cm (1 : IntInf.int)), c, e))) |
|
29787 | 889 |
| minusinf (Le (Cn (dm, c, e))) = |
36528 | 890 |
(if ((dm : IntInf.int) = (0 : IntInf.int)) then T |
891 |
else Le (Cn (suc (minus_nat dm (1 : IntInf.int)), c, e))) |
|
29787 | 892 |
| minusinf (Gt (Cn (em, c, e))) = |
36528 | 893 |
(if ((em : IntInf.int) = (0 : IntInf.int)) then F |
894 |
else Gt (Cn (suc (minus_nat em (1 : IntInf.int)), c, e))) |
|
29787 | 895 |
| minusinf (Ge (Cn (fm, c, e))) = |
36528 | 896 |
(if ((fm : IntInf.int) = (0 : IntInf.int)) then F |
897 |
else Ge (Cn (suc (minus_nat fm (1 : IntInf.int)), c, e))) |
|
29787 | 898 |
| minusinf (Eq (Cn (gm, c, e))) = |
36528 | 899 |
(if ((gm : IntInf.int) = (0 : IntInf.int)) then F |
900 |
else Eq (Cn (suc (minus_nat gm (1 : IntInf.int)), c, e))) |
|
29787 | 901 |
| minusinf (NEq (Cn (hm, c, e))) = |
36528 | 902 |
(if ((hm : IntInf.int) = (0 : IntInf.int)) then T |
903 |
else NEq (Cn (suc (minus_nat hm (1 : IntInf.int)), c, e))); |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
904 |
|
29939 | 905 |
val eq_int = {eq = (fn a => fn b => ((a : IntInf.int) = b))} : IntInf.int eq; |
23466 | 906 |
|
36528 | 907 |
val zero_int : IntInf.int = (0 : IntInf.int); |
908 |
||
909 |
type 'a zero = {zero : 'a}; |
|
910 |
val zero = #zero : 'a zero -> 'a; |
|
911 |
||
912 |
val zero_inta = {zero = zero_int} : IntInf.int zero; |
|
913 |
||
914 |
type 'a times = {times : 'a -> 'a -> 'a}; |
|
915 |
val times = #times : 'a times -> 'a -> 'a -> 'a; |
|
916 |
||
917 |
type 'a no_zero_divisors = |
|
918 |
{times_no_zero_divisors : 'a times, zero_no_zero_divisors : 'a zero}; |
|
919 |
val times_no_zero_divisors = #times_no_zero_divisors : |
|
920 |
'a no_zero_divisors -> 'a times; |
|
921 |
val zero_no_zero_divisors = #zero_no_zero_divisors : |
|
922 |
'a no_zero_divisors -> 'a zero; |
|
923 |
||
924 |
val times_int = {times = (fn a => fn b => IntInf.* (a, b))} : IntInf.int times; |
|
925 |
||
926 |
val no_zero_divisors_int = |
|
927 |
{times_no_zero_divisors = times_int, zero_no_zero_divisors = zero_inta} : |
|
928 |
IntInf.int no_zero_divisors; |
|
929 |
||
930 |
type 'a one = {one : 'a}; |
|
931 |
val one = #one : 'a one -> 'a; |
|
932 |
||
933 |
type 'a zero_neq_one = {one_zero_neq_one : 'a one, zero_zero_neq_one : 'a zero}; |
|
934 |
val one_zero_neq_one = #one_zero_neq_one : 'a zero_neq_one -> 'a one; |
|
935 |
val zero_zero_neq_one = #zero_zero_neq_one : 'a zero_neq_one -> 'a zero; |
|
936 |
||
937 |
type 'a semigroup_mult = {times_semigroup_mult : 'a times}; |
|
938 |
val times_semigroup_mult = #times_semigroup_mult : |
|
939 |
'a semigroup_mult -> 'a times; |
|
940 |
||
941 |
type 'a plus = {plus : 'a -> 'a -> 'a}; |
|
942 |
val plus = #plus : 'a plus -> 'a -> 'a -> 'a; |
|
943 |
||
944 |
type 'a semigroup_add = {plus_semigroup_add : 'a plus}; |
|
945 |
val plus_semigroup_add = #plus_semigroup_add : 'a semigroup_add -> 'a plus; |
|
946 |
||
947 |
type 'a ab_semigroup_add = {semigroup_add_ab_semigroup_add : 'a semigroup_add}; |
|
948 |
val semigroup_add_ab_semigroup_add = #semigroup_add_ab_semigroup_add : |
|
949 |
'a ab_semigroup_add -> 'a semigroup_add; |
|
950 |
||
951 |
type 'a semiring = |
|
952 |
{ab_semigroup_add_semiring : 'a ab_semigroup_add, |
|
953 |
semigroup_mult_semiring : 'a semigroup_mult}; |
|
954 |
val ab_semigroup_add_semiring = #ab_semigroup_add_semiring : |
|
955 |
'a semiring -> 'a ab_semigroup_add; |
|
956 |
val semigroup_mult_semiring = #semigroup_mult_semiring : |
|
957 |
'a semiring -> 'a semigroup_mult; |
|
958 |
||
959 |
type 'a mult_zero = {times_mult_zero : 'a times, zero_mult_zero : 'a zero}; |
|
960 |
val times_mult_zero = #times_mult_zero : 'a mult_zero -> 'a times; |
|
961 |
val zero_mult_zero = #zero_mult_zero : 'a mult_zero -> 'a zero; |
|
962 |
||
963 |
type 'a monoid_add = |
|
964 |
{semigroup_add_monoid_add : 'a semigroup_add, zero_monoid_add : 'a zero}; |
|
965 |
val semigroup_add_monoid_add = #semigroup_add_monoid_add : |
|
966 |
'a monoid_add -> 'a semigroup_add; |
|
967 |
val zero_monoid_add = #zero_monoid_add : 'a monoid_add -> 'a zero; |
|
968 |
||
969 |
type 'a comm_monoid_add = |
|
970 |
{ab_semigroup_add_comm_monoid_add : 'a ab_semigroup_add, |
|
971 |
monoid_add_comm_monoid_add : 'a monoid_add}; |
|
972 |
val ab_semigroup_add_comm_monoid_add = #ab_semigroup_add_comm_monoid_add : |
|
973 |
'a comm_monoid_add -> 'a ab_semigroup_add; |
|
974 |
val monoid_add_comm_monoid_add = #monoid_add_comm_monoid_add : |
|
975 |
'a comm_monoid_add -> 'a monoid_add; |
|
976 |
||
977 |
type 'a semiring_0 = |
|
978 |
{comm_monoid_add_semiring_0 : 'a comm_monoid_add, |
|
979 |
mult_zero_semiring_0 : 'a mult_zero, semiring_semiring_0 : 'a semiring}; |
|
980 |
val comm_monoid_add_semiring_0 = #comm_monoid_add_semiring_0 : |
|
981 |
'a semiring_0 -> 'a comm_monoid_add; |
|
982 |
val mult_zero_semiring_0 = #mult_zero_semiring_0 : |
|
983 |
'a semiring_0 -> 'a mult_zero; |
|
984 |
val semiring_semiring_0 = #semiring_semiring_0 : 'a semiring_0 -> 'a semiring; |
|
985 |
||
986 |
type 'a power = {one_power : 'a one, times_power : 'a times}; |
|
987 |
val one_power = #one_power : 'a power -> 'a one; |
|
988 |
val times_power = #times_power : 'a power -> 'a times; |
|
989 |
||
990 |
type 'a monoid_mult = |
|
991 |
{semigroup_mult_monoid_mult : 'a semigroup_mult, |
|
992 |
power_monoid_mult : 'a power}; |
|
993 |
val semigroup_mult_monoid_mult = #semigroup_mult_monoid_mult : |
|
994 |
'a monoid_mult -> 'a semigroup_mult; |
|
995 |
val power_monoid_mult = #power_monoid_mult : 'a monoid_mult -> 'a power; |
|
996 |
||
997 |
type 'a semiring_1 = |
|
998 |
{monoid_mult_semiring_1 : 'a monoid_mult, |
|
999 |
semiring_0_semiring_1 : 'a semiring_0, |
|
1000 |
zero_neq_one_semiring_1 : 'a zero_neq_one}; |
|
1001 |
val monoid_mult_semiring_1 = #monoid_mult_semiring_1 : |
|
1002 |
'a semiring_1 -> 'a monoid_mult; |
|
1003 |
val semiring_0_semiring_1 = #semiring_0_semiring_1 : |
|
1004 |
'a semiring_1 -> 'a semiring_0; |
|
1005 |
val zero_neq_one_semiring_1 = #zero_neq_one_semiring_1 : |
|
1006 |
'a semiring_1 -> 'a zero_neq_one; |
|
1007 |
||
1008 |
type 'a cancel_semigroup_add = |
|
1009 |
{semigroup_add_cancel_semigroup_add : 'a semigroup_add}; |
|
1010 |
val semigroup_add_cancel_semigroup_add = #semigroup_add_cancel_semigroup_add : |
|
1011 |
'a cancel_semigroup_add -> 'a semigroup_add; |
|
1012 |
||
1013 |
type 'a cancel_ab_semigroup_add = |
|
1014 |
{ab_semigroup_add_cancel_ab_semigroup_add : 'a ab_semigroup_add, |
|
1015 |
cancel_semigroup_add_cancel_ab_semigroup_add : 'a cancel_semigroup_add}; |
|
1016 |
val ab_semigroup_add_cancel_ab_semigroup_add = |
|
1017 |
#ab_semigroup_add_cancel_ab_semigroup_add : |
|
1018 |
'a cancel_ab_semigroup_add -> 'a ab_semigroup_add; |
|
1019 |
val cancel_semigroup_add_cancel_ab_semigroup_add = |
|
1020 |
#cancel_semigroup_add_cancel_ab_semigroup_add : |
|
1021 |
'a cancel_ab_semigroup_add -> 'a cancel_semigroup_add; |
|
1022 |
||
1023 |
type 'a cancel_comm_monoid_add = |
|
1024 |
{cancel_ab_semigroup_add_cancel_comm_monoid_add : 'a cancel_ab_semigroup_add, |
|
1025 |
comm_monoid_add_cancel_comm_monoid_add : 'a comm_monoid_add}; |
|
1026 |
val cancel_ab_semigroup_add_cancel_comm_monoid_add = |
|
1027 |
#cancel_ab_semigroup_add_cancel_comm_monoid_add : |
|
1028 |
'a cancel_comm_monoid_add -> 'a cancel_ab_semigroup_add; |
|
1029 |
val comm_monoid_add_cancel_comm_monoid_add = |
|
1030 |
#comm_monoid_add_cancel_comm_monoid_add : |
|
1031 |
'a cancel_comm_monoid_add -> 'a comm_monoid_add; |
|
1032 |
||
1033 |
type 'a semiring_0_cancel = |
|
1034 |
{cancel_comm_monoid_add_semiring_0_cancel : 'a cancel_comm_monoid_add, |
|
1035 |
semiring_0_semiring_0_cancel : 'a semiring_0}; |
|
1036 |
val cancel_comm_monoid_add_semiring_0_cancel = |
|
1037 |
#cancel_comm_monoid_add_semiring_0_cancel : |
|
1038 |
'a semiring_0_cancel -> 'a cancel_comm_monoid_add; |
|
1039 |
val semiring_0_semiring_0_cancel = #semiring_0_semiring_0_cancel : |
|
1040 |
'a semiring_0_cancel -> 'a semiring_0; |
|
1041 |
||
1042 |
type 'a semiring_1_cancel = |
|
1043 |
{semiring_0_cancel_semiring_1_cancel : 'a semiring_0_cancel, |
|
1044 |
semiring_1_semiring_1_cancel : 'a semiring_1}; |
|
1045 |
val semiring_0_cancel_semiring_1_cancel = #semiring_0_cancel_semiring_1_cancel : |
|
1046 |
'a semiring_1_cancel -> 'a semiring_0_cancel; |
|
1047 |
val semiring_1_semiring_1_cancel = #semiring_1_semiring_1_cancel : |
|
1048 |
'a semiring_1_cancel -> 'a semiring_1; |
|
1049 |
||
1050 |
type 'a dvd = {times_dvd : 'a times}; |
|
1051 |
val times_dvd = #times_dvd : 'a dvd -> 'a times; |
|
1052 |
||
1053 |
type 'a ab_semigroup_mult = |
|
1054 |
{semigroup_mult_ab_semigroup_mult : 'a semigroup_mult}; |
|
1055 |
val semigroup_mult_ab_semigroup_mult = #semigroup_mult_ab_semigroup_mult : |
|
1056 |
'a ab_semigroup_mult -> 'a semigroup_mult; |
|
1057 |
||
1058 |
type 'a comm_semiring = |
|
1059 |
{ab_semigroup_mult_comm_semiring : 'a ab_semigroup_mult, |
|
1060 |
semiring_comm_semiring : 'a semiring}; |
|
1061 |
val ab_semigroup_mult_comm_semiring = #ab_semigroup_mult_comm_semiring : |
|
1062 |
'a comm_semiring -> 'a ab_semigroup_mult; |
|
1063 |
val semiring_comm_semiring = #semiring_comm_semiring : |
|
1064 |
'a comm_semiring -> 'a semiring; |
|
1065 |
||
1066 |
type 'a comm_semiring_0 = |
|
1067 |
{comm_semiring_comm_semiring_0 : 'a comm_semiring, |
|
1068 |
semiring_0_comm_semiring_0 : 'a semiring_0}; |
|
1069 |
val comm_semiring_comm_semiring_0 = #comm_semiring_comm_semiring_0 : |
|
1070 |
'a comm_semiring_0 -> 'a comm_semiring; |
|
1071 |
val semiring_0_comm_semiring_0 = #semiring_0_comm_semiring_0 : |
|
1072 |
'a comm_semiring_0 -> 'a semiring_0; |
|
1073 |
||
1074 |
type 'a comm_monoid_mult = |
|
1075 |
{ab_semigroup_mult_comm_monoid_mult : 'a ab_semigroup_mult, |
|
1076 |
monoid_mult_comm_monoid_mult : 'a monoid_mult}; |
|
1077 |
val ab_semigroup_mult_comm_monoid_mult = #ab_semigroup_mult_comm_monoid_mult : |
|
1078 |
'a comm_monoid_mult -> 'a ab_semigroup_mult; |
|
1079 |
val monoid_mult_comm_monoid_mult = #monoid_mult_comm_monoid_mult : |
|
1080 |
'a comm_monoid_mult -> 'a monoid_mult; |
|
1081 |
||
1082 |
type 'a comm_semiring_1 = |
|
1083 |
{comm_monoid_mult_comm_semiring_1 : 'a comm_monoid_mult, |
|
1084 |
comm_semiring_0_comm_semiring_1 : 'a comm_semiring_0, |
|
1085 |
dvd_comm_semiring_1 : 'a dvd, semiring_1_comm_semiring_1 : 'a semiring_1}; |
|
1086 |
val comm_monoid_mult_comm_semiring_1 = #comm_monoid_mult_comm_semiring_1 : |
|
1087 |
'a comm_semiring_1 -> 'a comm_monoid_mult; |
|
1088 |
val comm_semiring_0_comm_semiring_1 = #comm_semiring_0_comm_semiring_1 : |
|
1089 |
'a comm_semiring_1 -> 'a comm_semiring_0; |
|
1090 |
val dvd_comm_semiring_1 = #dvd_comm_semiring_1 : 'a comm_semiring_1 -> 'a dvd; |
|
1091 |
val semiring_1_comm_semiring_1 = #semiring_1_comm_semiring_1 : |
|
1092 |
'a comm_semiring_1 -> 'a semiring_1; |
|
1093 |
||
1094 |
type 'a comm_semiring_0_cancel = |
|
1095 |
{comm_semiring_0_comm_semiring_0_cancel : 'a comm_semiring_0, |
|
1096 |
semiring_0_cancel_comm_semiring_0_cancel : 'a semiring_0_cancel}; |
|
1097 |
val comm_semiring_0_comm_semiring_0_cancel = |
|
1098 |
#comm_semiring_0_comm_semiring_0_cancel : |
|
1099 |
'a comm_semiring_0_cancel -> 'a comm_semiring_0; |
|
1100 |
val semiring_0_cancel_comm_semiring_0_cancel = |
|
1101 |
#semiring_0_cancel_comm_semiring_0_cancel : |
|
1102 |
'a comm_semiring_0_cancel -> 'a semiring_0_cancel; |
|
1103 |
||
1104 |
type 'a comm_semiring_1_cancel = |
|
1105 |
{comm_semiring_0_cancel_comm_semiring_1_cancel : 'a comm_semiring_0_cancel, |
|
1106 |
comm_semiring_1_comm_semiring_1_cancel : 'a comm_semiring_1, |
|
1107 |
semiring_1_cancel_comm_semiring_1_cancel : 'a semiring_1_cancel}; |
|
1108 |
val comm_semiring_0_cancel_comm_semiring_1_cancel = |
|
1109 |
#comm_semiring_0_cancel_comm_semiring_1_cancel : |
|
1110 |
'a comm_semiring_1_cancel -> 'a comm_semiring_0_cancel; |
|
1111 |
val comm_semiring_1_comm_semiring_1_cancel = |
|
1112 |
#comm_semiring_1_comm_semiring_1_cancel : |
|
1113 |
'a comm_semiring_1_cancel -> 'a comm_semiring_1; |
|
1114 |
val semiring_1_cancel_comm_semiring_1_cancel = |
|
1115 |
#semiring_1_cancel_comm_semiring_1_cancel : |
|
1116 |
'a comm_semiring_1_cancel -> 'a semiring_1_cancel; |
|
1117 |
||
1118 |
type 'a diva = {dvd_div : 'a dvd, diva : 'a -> 'a -> 'a, moda : 'a -> 'a -> 'a}; |
|
1119 |
val dvd_div = #dvd_div : 'a diva -> 'a dvd; |
|
1120 |
val diva = #diva : 'a diva -> 'a -> 'a -> 'a; |
|
1121 |
val moda = #moda : 'a diva -> 'a -> 'a -> 'a; |
|
1122 |
||
1123 |
type 'a semiring_div = |
|
1124 |
{div_semiring_div : 'a diva, |
|
1125 |
comm_semiring_1_cancel_semiring_div : 'a comm_semiring_1_cancel, |
|
1126 |
no_zero_divisors_semiring_div : 'a no_zero_divisors}; |
|
1127 |
val div_semiring_div = #div_semiring_div : 'a semiring_div -> 'a diva; |
|
1128 |
val comm_semiring_1_cancel_semiring_div = #comm_semiring_1_cancel_semiring_div : |
|
1129 |
'a semiring_div -> 'a comm_semiring_1_cancel; |
|
1130 |
val no_zero_divisors_semiring_div = #no_zero_divisors_semiring_div : |
|
1131 |
'a semiring_div -> 'a no_zero_divisors; |
|
1132 |
||
1133 |
val one_int : IntInf.int = (1 : IntInf.int); |
|
1134 |
||
1135 |
val one_inta = {one = one_int} : IntInf.int one; |
|
1136 |
||
1137 |
val zero_neq_one_int = |
|
1138 |
{one_zero_neq_one = one_inta, zero_zero_neq_one = zero_inta} : |
|
1139 |
IntInf.int zero_neq_one; |
|
1140 |
||
1141 |
val semigroup_mult_int = {times_semigroup_mult = times_int} : |
|
1142 |
IntInf.int semigroup_mult; |
|
1143 |
||
1144 |
val plus_int = {plus = (fn a => fn b => IntInf.+ (a, b))} : IntInf.int plus; |
|
1145 |
||
1146 |
val semigroup_add_int = {plus_semigroup_add = plus_int} : |
|
1147 |
IntInf.int semigroup_add; |
|
1148 |
||
1149 |
val ab_semigroup_add_int = {semigroup_add_ab_semigroup_add = semigroup_add_int} |
|
1150 |
: IntInf.int ab_semigroup_add; |
|
1151 |
||
1152 |
val semiring_int = |
|
1153 |
{ab_semigroup_add_semiring = ab_semigroup_add_int, |
|
1154 |
semigroup_mult_semiring = semigroup_mult_int} |
|
1155 |
: IntInf.int semiring; |
|
1156 |
||
1157 |
val mult_zero_int = {times_mult_zero = times_int, zero_mult_zero = zero_inta} : |
|
1158 |
IntInf.int mult_zero; |
|
1159 |
||
1160 |
val monoid_add_int = |
|
1161 |
{semigroup_add_monoid_add = semigroup_add_int, zero_monoid_add = zero_inta} : |
|
1162 |
IntInf.int monoid_add; |
|
1163 |
||
1164 |
val comm_monoid_add_int = |
|
1165 |
{ab_semigroup_add_comm_monoid_add = ab_semigroup_add_int, |
|
1166 |
monoid_add_comm_monoid_add = monoid_add_int} |
|
1167 |
: IntInf.int comm_monoid_add; |
|
1168 |
||
1169 |
val semiring_0_int = |
|
1170 |
{comm_monoid_add_semiring_0 = comm_monoid_add_int, |
|
1171 |
mult_zero_semiring_0 = mult_zero_int, semiring_semiring_0 = semiring_int} |
|
1172 |
: IntInf.int semiring_0; |
|
1173 |
||
1174 |
val power_int = {one_power = one_inta, times_power = times_int} : |
|
1175 |
IntInf.int power; |
|
1176 |
||
1177 |
val monoid_mult_int = |
|
1178 |
{semigroup_mult_monoid_mult = semigroup_mult_int, |
|
1179 |
power_monoid_mult = power_int} |
|
1180 |
: IntInf.int monoid_mult; |
|
1181 |
||
1182 |
val semiring_1_int = |
|
1183 |
{monoid_mult_semiring_1 = monoid_mult_int, |
|
1184 |
semiring_0_semiring_1 = semiring_0_int, |
|
1185 |
zero_neq_one_semiring_1 = zero_neq_one_int} |
|
1186 |
: IntInf.int semiring_1; |
|
1187 |
||
1188 |
val cancel_semigroup_add_int = |
|
1189 |
{semigroup_add_cancel_semigroup_add = semigroup_add_int} : |
|
1190 |
IntInf.int cancel_semigroup_add; |
|
1191 |
||
1192 |
val cancel_ab_semigroup_add_int = |
|
1193 |
{ab_semigroup_add_cancel_ab_semigroup_add = ab_semigroup_add_int, |
|
1194 |
cancel_semigroup_add_cancel_ab_semigroup_add = cancel_semigroup_add_int} |
|
1195 |
: IntInf.int cancel_ab_semigroup_add; |
|
1196 |
||
1197 |
val cancel_comm_monoid_add_int = |
|
1198 |
{cancel_ab_semigroup_add_cancel_comm_monoid_add = cancel_ab_semigroup_add_int, |
|
1199 |
comm_monoid_add_cancel_comm_monoid_add = comm_monoid_add_int} |
|
1200 |
: IntInf.int cancel_comm_monoid_add; |
|
1201 |
||
1202 |
val semiring_0_cancel_int = |
|
1203 |
{cancel_comm_monoid_add_semiring_0_cancel = cancel_comm_monoid_add_int, |
|
1204 |
semiring_0_semiring_0_cancel = semiring_0_int} |
|
1205 |
: IntInf.int semiring_0_cancel; |
|
1206 |
||
1207 |
val semiring_1_cancel_int = |
|
1208 |
{semiring_0_cancel_semiring_1_cancel = semiring_0_cancel_int, |
|
1209 |
semiring_1_semiring_1_cancel = semiring_1_int} |
|
1210 |
: IntInf.int semiring_1_cancel; |
|
1211 |
||
1212 |
val dvd_int = {times_dvd = times_int} : IntInf.int dvd; |
|
1213 |
||
1214 |
val ab_semigroup_mult_int = |
|
1215 |
{semigroup_mult_ab_semigroup_mult = semigroup_mult_int} : |
|
1216 |
IntInf.int ab_semigroup_mult; |
|
1217 |
||
1218 |
val comm_semiring_int = |
|
1219 |
{ab_semigroup_mult_comm_semiring = ab_semigroup_mult_int, |
|
1220 |
semiring_comm_semiring = semiring_int} |
|
1221 |
: IntInf.int comm_semiring; |
|
1222 |
||
1223 |
val comm_semiring_0_int = |
|
1224 |
{comm_semiring_comm_semiring_0 = comm_semiring_int, |
|
1225 |
semiring_0_comm_semiring_0 = semiring_0_int} |
|
1226 |
: IntInf.int comm_semiring_0; |
|
1227 |
||
1228 |
val comm_monoid_mult_int = |
|
1229 |
{ab_semigroup_mult_comm_monoid_mult = ab_semigroup_mult_int, |
|
1230 |
monoid_mult_comm_monoid_mult = monoid_mult_int} |
|
1231 |
: IntInf.int comm_monoid_mult; |
|
1232 |
||
1233 |
val comm_semiring_1_int = |
|
1234 |
{comm_monoid_mult_comm_semiring_1 = comm_monoid_mult_int, |
|
1235 |
comm_semiring_0_comm_semiring_1 = comm_semiring_0_int, |
|
1236 |
dvd_comm_semiring_1 = dvd_int, semiring_1_comm_semiring_1 = semiring_1_int} |
|
1237 |
: IntInf.int comm_semiring_1; |
|
1238 |
||
1239 |
val comm_semiring_0_cancel_int = |
|
1240 |
{comm_semiring_0_comm_semiring_0_cancel = comm_semiring_0_int, |
|
1241 |
semiring_0_cancel_comm_semiring_0_cancel = semiring_0_cancel_int} |
|
1242 |
: IntInf.int comm_semiring_0_cancel; |
|
1243 |
||
1244 |
val comm_semiring_1_cancel_int = |
|
1245 |
{comm_semiring_0_cancel_comm_semiring_1_cancel = comm_semiring_0_cancel_int, |
|
1246 |
comm_semiring_1_comm_semiring_1_cancel = comm_semiring_1_int, |
|
1247 |
semiring_1_cancel_comm_semiring_1_cancel = semiring_1_cancel_int} |
|
1248 |
: IntInf.int comm_semiring_1_cancel; |
|
1249 |
||
1250 |
fun abs_int i = (if IntInf.< (i, (0 : IntInf.int)) then IntInf.~ i else i); |
|
1251 |
||
1252 |
fun split f (a, b) = f a b; |
|
1253 |
||
29939 | 1254 |
fun sgn_int i = |
36528 | 1255 |
(if ((i : IntInf.int) = (0 : IntInf.int)) then (0 : IntInf.int) |
29939 | 1256 |
else (if IntInf.< ((0 : IntInf.int), i) then (1 : IntInf.int) |
1257 |
else IntInf.~ (1 : IntInf.int))); |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
1258 |
|
29787 | 1259 |
fun apsnd f (x, y) = (x, f y); |
1260 |
||
36528 | 1261 |
fun divmod_int k l = |
1262 |
(if ((k : IntInf.int) = (0 : IntInf.int)) |
|
1263 |
then ((0 : IntInf.int), (0 : IntInf.int)) |
|
1264 |
else (if ((l : IntInf.int) = (0 : IntInf.int)) then ((0 : IntInf.int), k) |
|
29939 | 1265 |
else apsnd (fn a => IntInf.* (sgn_int l, a)) |
36528 | 1266 |
(if (((sgn_int k) : IntInf.int) = (sgn_int l)) |
1267 |
then IntInf.divMod (IntInf.abs k, IntInf.abs l) |
|
29939 | 1268 |
else let |
36528 | 1269 |
val (r, s) = |
1270 |
IntInf.divMod (IntInf.abs k, IntInf.abs l); |
|
29939 | 1271 |
in |
36528 | 1272 |
(if ((s : IntInf.int) = (0 : IntInf.int)) |
29939 | 1273 |
then (IntInf.~ r, (0 : IntInf.int)) |
1274 |
else (IntInf.- (IntInf.~ r, (1 : IntInf.int)), |
|
1275 |
IntInf.- (abs_int l, s))) |
|
1276 |
end))); |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
1277 |
|
36528 | 1278 |
fun snd (a, b) = b; |
1279 |
||
1280 |
fun mod_int a b = snd (divmod_int a b); |
|
1281 |
||
1282 |
fun fst (a, b) = a; |
|
1283 |
||
1284 |
fun div_int a b = fst (divmod_int a b); |
|
1285 |
||
1286 |
val div_inta = {dvd_div = dvd_int, diva = div_int, moda = mod_int} : |
|
1287 |
IntInf.int diva; |
|
1288 |
||
1289 |
val semiring_div_int = |
|
1290 |
{div_semiring_div = div_inta, |
|
1291 |
comm_semiring_1_cancel_semiring_div = comm_semiring_1_cancel_int, |
|
1292 |
no_zero_divisors_semiring_div = no_zero_divisors_int} |
|
1293 |
: IntInf.int semiring_div; |
|
1294 |
||
1295 |
fun dvd (A1_, A2_) a b = |
|
1296 |
eqa A2_ (moda (div_semiring_div A1_) b a) |
|
1297 |
(zero ((zero_no_zero_divisors o no_zero_divisors_semiring_div) A1_)); |
|
23714 | 1298 |
|
29787 | 1299 |
fun num_case f1 f2 f3 f4 f5 f6 f7 (Mul (inta, num)) = f7 inta num |
1300 |
| num_case f1 f2 f3 f4 f5 f6 f7 (Sub (num1, num2)) = f6 num1 num2 |
|
1301 |
| num_case f1 f2 f3 f4 f5 f6 f7 (Add (num1, num2)) = f5 num1 num2 |
|
1302 |
| num_case f1 f2 f3 f4 f5 f6 f7 (Neg num) = f4 num |
|
1303 |
| num_case f1 f2 f3 f4 f5 f6 f7 (Cn (nat, inta, num)) = f3 nat inta num |
|
1304 |
| num_case f1 f2 f3 f4 f5 f6 f7 (Bound nat) = f2 nat |
|
1305 |
| num_case f1 f2 f3 f4 f5 f6 f7 (C inta) = f1 inta; |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
1306 |
|
29787 | 1307 |
fun nummul i (C j) = C (IntInf.* (i, j)) |
1308 |
| nummul i (Cn (n, c, t)) = Cn (n, IntInf.* (c, i), nummul i t) |
|
1309 |
| nummul i (Bound v) = Mul (i, Bound v) |
|
1310 |
| nummul i (Neg v) = Mul (i, Neg v) |
|
1311 |
| nummul i (Add (v, va)) = Mul (i, Add (v, va)) |
|
1312 |
| nummul i (Sub (v, va)) = Mul (i, Sub (v, va)) |
|
1313 |
| nummul i (Mul (v, va)) = Mul (i, Mul (v, va)); |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
1314 |
|
29787 | 1315 |
fun numneg t = nummul (IntInf.~ (1 : IntInf.int)) t; |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
1316 |
|
29787 | 1317 |
fun numadd (Cn (n1, c1, r1), Cn (n2, c2, r2)) = |
36528 | 1318 |
(if ((n1 : IntInf.int) = n2) |
29787 | 1319 |
then let |
1320 |
val c = IntInf.+ (c1, c2); |
|
1321 |
in |
|
36528 | 1322 |
(if ((c : IntInf.int) = (0 : IntInf.int)) then numadd (r1, r2) |
29787 | 1323 |
else Cn (n1, c, numadd (r1, r2))) |
1324 |
end |
|
1325 |
else (if IntInf.<= (n1, n2) |
|
1326 |
then Cn (n1, c1, numadd (r1, Add (Mul (c2, Bound n2), r2))) |
|
1327 |
else Cn (n2, c2, numadd (Add (Mul (c1, Bound n1), r1), r2)))) |
|
1328 |
| numadd (Cn (n1, c1, r1), C dd) = Cn (n1, c1, numadd (r1, C dd)) |
|
1329 |
| numadd (Cn (n1, c1, r1), Bound de) = Cn (n1, c1, numadd (r1, Bound de)) |
|
1330 |
| numadd (Cn (n1, c1, r1), Neg di) = Cn (n1, c1, numadd (r1, Neg di)) |
|
1331 |
| numadd (Cn (n1, c1, r1), Add (dj, dk)) = |
|
1332 |
Cn (n1, c1, numadd (r1, Add (dj, dk))) |
|
1333 |
| numadd (Cn (n1, c1, r1), Sub (dl, dm)) = |
|
1334 |
Cn (n1, c1, numadd (r1, Sub (dl, dm))) |
|
1335 |
| numadd (Cn (n1, c1, r1), Mul (dn, doa)) = |
|
1336 |
Cn (n1, c1, numadd (r1, Mul (dn, doa))) |
|
1337 |
| numadd (C w, Cn (n2, c2, r2)) = Cn (n2, c2, numadd (C w, r2)) |
|
1338 |
| numadd (Bound x, Cn (n2, c2, r2)) = Cn (n2, c2, numadd (Bound x, r2)) |
|
1339 |
| numadd (Neg ac, Cn (n2, c2, r2)) = Cn (n2, c2, numadd (Neg ac, r2)) |
|
1340 |
| numadd (Add (ad, ae), Cn (n2, c2, r2)) = |
|
1341 |
Cn (n2, c2, numadd (Add (ad, ae), r2)) |
|
1342 |
| numadd (Sub (af, ag), Cn (n2, c2, r2)) = |
|
1343 |
Cn (n2, c2, numadd (Sub (af, ag), r2)) |
|
1344 |
| numadd (Mul (ah, ai), Cn (n2, c2, r2)) = |
|
1345 |
Cn (n2, c2, numadd (Mul (ah, ai), r2)) |
|
1346 |
| numadd (C b1, C b2) = C (IntInf.+ (b1, b2)) |
|
1347 |
| numadd (C aj, Bound bi) = Add (C aj, Bound bi) |
|
1348 |
| numadd (C aj, Neg bm) = Add (C aj, Neg bm) |
|
1349 |
| numadd (C aj, Add (bn, bo)) = Add (C aj, Add (bn, bo)) |
|
1350 |
| numadd (C aj, Sub (bp, bq)) = Add (C aj, Sub (bp, bq)) |
|
1351 |
| numadd (C aj, Mul (br, bs)) = Add (C aj, Mul (br, bs)) |
|
1352 |
| numadd (Bound ak, C cf) = Add (Bound ak, C cf) |
|
1353 |
| numadd (Bound ak, Bound cg) = Add (Bound ak, Bound cg) |
|
1354 |
| numadd (Bound ak, Neg ck) = Add (Bound ak, Neg ck) |
|
1355 |
| numadd (Bound ak, Add (cl, cm)) = Add (Bound ak, Add (cl, cm)) |
|
1356 |
| numadd (Bound ak, Sub (cn, co)) = Add (Bound ak, Sub (cn, co)) |
|
1357 |
| numadd (Bound ak, Mul (cp, cq)) = Add (Bound ak, Mul (cp, cq)) |
|
1358 |
| numadd (Neg ao, C en) = Add (Neg ao, C en) |
|
1359 |
| numadd (Neg ao, Bound eo) = Add (Neg ao, Bound eo) |
|
1360 |
| numadd (Neg ao, Neg es) = Add (Neg ao, Neg es) |
|
1361 |
| numadd (Neg ao, Add (et, eu)) = Add (Neg ao, Add (et, eu)) |
|
1362 |
| numadd (Neg ao, Sub (ev, ew)) = Add (Neg ao, Sub (ev, ew)) |
|
1363 |
| numadd (Neg ao, Mul (ex, ey)) = Add (Neg ao, Mul (ex, ey)) |
|
1364 |
| numadd (Add (ap, aq), C fl) = Add (Add (ap, aq), C fl) |
|
1365 |
| numadd (Add (ap, aq), Bound fm) = Add (Add (ap, aq), Bound fm) |
|
1366 |
| numadd (Add (ap, aq), Neg fq) = Add (Add (ap, aq), Neg fq) |
|
1367 |
| numadd (Add (ap, aq), Add (fr, fs)) = Add (Add (ap, aq), Add (fr, fs)) |
|
1368 |
| numadd (Add (ap, aq), Sub (ft, fu)) = Add (Add (ap, aq), Sub (ft, fu)) |
|
1369 |
| numadd (Add (ap, aq), Mul (fv, fw)) = Add (Add (ap, aq), Mul (fv, fw)) |
|
1370 |
| numadd (Sub (ar, asa), C gj) = Add (Sub (ar, asa), C gj) |
|
1371 |
| numadd (Sub (ar, asa), Bound gk) = Add (Sub (ar, asa), Bound gk) |
|
1372 |
| numadd (Sub (ar, asa), Neg go) = Add (Sub (ar, asa), Neg go) |
|
1373 |
| numadd (Sub (ar, asa), Add (gp, gq)) = Add (Sub (ar, asa), Add (gp, gq)) |
|
1374 |
| numadd (Sub (ar, asa), Sub (gr, gs)) = Add (Sub (ar, asa), Sub (gr, gs)) |
|
1375 |
| numadd (Sub (ar, asa), Mul (gt, gu)) = Add (Sub (ar, asa), Mul (gt, gu)) |
|
1376 |
| numadd (Mul (at, au), C hh) = Add (Mul (at, au), C hh) |
|
1377 |
| numadd (Mul (at, au), Bound hi) = Add (Mul (at, au), Bound hi) |
|
1378 |
| numadd (Mul (at, au), Neg hm) = Add (Mul (at, au), Neg hm) |
|
1379 |
| numadd (Mul (at, au), Add (hn, ho)) = Add (Mul (at, au), Add (hn, ho)) |
|
1380 |
| numadd (Mul (at, au), Sub (hp, hq)) = Add (Mul (at, au), Sub (hp, hq)) |
|
1381 |
| numadd (Mul (at, au), Mul (hr, hs)) = Add (Mul (at, au), Mul (hr, hs)); |
|
23714 | 1382 |
|
29787 | 1383 |
fun numsub s t = |
36528 | 1384 |
(if eq_num s t then C (0 : IntInf.int) else numadd (s, numneg t)); |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
1385 |
|
29787 | 1386 |
fun simpnum (C j) = C j |
1387 |
| simpnum (Bound n) = Cn (n, (1 : IntInf.int), C (0 : IntInf.int)) |
|
1388 |
| simpnum (Neg t) = numneg (simpnum t) |
|
1389 |
| simpnum (Add (t, s)) = numadd (simpnum t, simpnum s) |
|
1390 |
| simpnum (Sub (t, s)) = numsub (simpnum t) (simpnum s) |
|
1391 |
| simpnum (Mul (i, t)) = |
|
36528 | 1392 |
(if ((i : IntInf.int) = (0 : IntInf.int)) then C (0 : IntInf.int) |
29787 | 1393 |
else nummul i (simpnum t)) |
1394 |
| simpnum (Cn (v, va, vb)) = Cn (v, va, vb); |
|
23714 | 1395 |
|
29939 | 1396 |
fun nota (Not p) = p |
29787 | 1397 |
| nota T = F |
1398 |
| nota F = T |
|
29939 | 1399 |
| nota (Lt v) = Not (Lt v) |
1400 |
| nota (Le v) = Not (Le v) |
|
1401 |
| nota (Gt v) = Not (Gt v) |
|
1402 |
| nota (Ge v) = Not (Ge v) |
|
1403 |
| nota (Eq v) = Not (Eq v) |
|
1404 |
| nota (NEq v) = Not (NEq v) |
|
1405 |
| nota (Dvd (v, va)) = Not (Dvd (v, va)) |
|
1406 |
| nota (NDvd (v, va)) = Not (NDvd (v, va)) |
|
1407 |
| nota (And (v, va)) = Not (And (v, va)) |
|
1408 |
| nota (Or (v, va)) = Not (Or (v, va)) |
|
1409 |
| nota (Imp (v, va)) = Not (Imp (v, va)) |
|
1410 |
| nota (Iff (v, va)) = Not (Iff (v, va)) |
|
1411 |
| nota (E v) = Not (E v) |
|
1412 |
| nota (A v) = Not (A v) |
|
29787 | 1413 |
| nota (Closed v) = Not (Closed v) |
1414 |
| nota (NClosed v) = Not (NClosed v); |
|
23714 | 1415 |
|
29787 | 1416 |
fun iffa p q = |
36528 | 1417 |
(if eq_fm p q then T |
1418 |
else (if eq_fm p (nota q) orelse eq_fm (nota p) q then F |
|
1419 |
else (if eq_fm p F then nota q |
|
1420 |
else (if eq_fm q F then nota p |
|
1421 |
else (if eq_fm p T then q |
|
1422 |
else (if eq_fm q T then p else Iff (p, q))))))); |
|
23466 | 1423 |
|
29787 | 1424 |
fun impa p q = |
36528 | 1425 |
(if eq_fm p F orelse eq_fm q T then T |
1426 |
else (if eq_fm p T then q else (if eq_fm q F then nota p else Imp (p, q)))); |
|
23714 | 1427 |
|
29787 | 1428 |
fun conj p q = |
36528 | 1429 |
(if eq_fm p F orelse eq_fm q F then F |
1430 |
else (if eq_fm p T then q else (if eq_fm q T then p else And (p, q)))); |
|
23714 | 1431 |
|
29787 | 1432 |
fun simpfm (And (p, q)) = conj (simpfm p) (simpfm q) |
1433 |
| simpfm (Or (p, q)) = disj (simpfm p) (simpfm q) |
|
1434 |
| simpfm (Imp (p, q)) = impa (simpfm p) (simpfm q) |
|
1435 |
| simpfm (Iff (p, q)) = iffa (simpfm p) (simpfm q) |
|
1436 |
| simpfm (Not p) = nota (simpfm p) |
|
1437 |
| simpfm (Lt a) = |
|
1438 |
let |
|
36528 | 1439 |
val aa = simpnum a; |
29787 | 1440 |
in |
36528 | 1441 |
(case aa of C v => (if IntInf.< (v, (0 : IntInf.int)) then T else F) |
1442 |
| Bound _ => Lt aa | Cn (_, _, _) => Lt aa | Neg _ => Lt aa |
|
1443 |
| Add (_, _) => Lt aa | Sub (_, _) => Lt aa | Mul (_, _) => Lt aa) |
|
29787 | 1444 |
end |
1445 |
| simpfm (Le a) = |
|
1446 |
let |
|
36528 | 1447 |
val aa = simpnum a; |
29787 | 1448 |
in |
36528 | 1449 |
(case aa of C v => (if IntInf.<= (v, (0 : IntInf.int)) then T else F) |
1450 |
| Bound _ => Le aa | Cn (_, _, _) => Le aa | Neg _ => Le aa |
|
1451 |
| Add (_, _) => Le aa | Sub (_, _) => Le aa | Mul (_, _) => Le aa) |
|
29787 | 1452 |
end |
1453 |
| simpfm (Gt a) = |
|
1454 |
let |
|
36528 | 1455 |
val aa = simpnum a; |
29787 | 1456 |
in |
36528 | 1457 |
(case aa of C v => (if IntInf.< ((0 : IntInf.int), v) then T else F) |
1458 |
| Bound _ => Gt aa | Cn (_, _, _) => Gt aa | Neg _ => Gt aa |
|
1459 |
| Add (_, _) => Gt aa | Sub (_, _) => Gt aa | Mul (_, _) => Gt aa) |
|
29787 | 1460 |
end |
1461 |
| simpfm (Ge a) = |
|
1462 |
let |
|
36528 | 1463 |
val aa = simpnum a; |
29787 | 1464 |
in |
36528 | 1465 |
(case aa of C v => (if IntInf.<= ((0 : IntInf.int), v) then T else F) |
1466 |
| Bound _ => Ge aa | Cn (_, _, _) => Ge aa | Neg _ => Ge aa |
|
1467 |
| Add (_, _) => Ge aa | Sub (_, _) => Ge aa | Mul (_, _) => Ge aa) |
|
29787 | 1468 |
end |
1469 |
| simpfm (Eq a) = |
|
1470 |
let |
|
36528 | 1471 |
val aa = simpnum a; |
29787 | 1472 |
in |
36528 | 1473 |
(case aa |
1474 |
of C v => (if ((v : IntInf.int) = (0 : IntInf.int)) then T else F) |
|
1475 |
| Bound _ => Eq aa | Cn (_, _, _) => Eq aa | Neg _ => Eq aa |
|
1476 |
| Add (_, _) => Eq aa | Sub (_, _) => Eq aa | Mul (_, _) => Eq aa) |
|
29787 | 1477 |
end |
1478 |
| simpfm (NEq a) = |
|
1479 |
let |
|
36528 | 1480 |
val aa = simpnum a; |
29787 | 1481 |
in |
36528 | 1482 |
(case aa |
1483 |
of C v => (if not ((v : IntInf.int) = (0 : IntInf.int)) then T else F) |
|
1484 |
| Bound _ => NEq aa | Cn (_, _, _) => NEq aa | Neg _ => NEq aa |
|
1485 |
| Add (_, _) => NEq aa | Sub (_, _) => NEq aa | Mul (_, _) => NEq aa) |
|
29787 | 1486 |
end |
1487 |
| simpfm (Dvd (i, a)) = |
|
36528 | 1488 |
(if ((i : IntInf.int) = (0 : IntInf.int)) then simpfm (Eq a) |
1489 |
else (if (((abs_int i) : IntInf.int) = (1 : IntInf.int)) then T |
|
29787 | 1490 |
else let |
36528 | 1491 |
val aa = simpnum a; |
29787 | 1492 |
in |
36528 | 1493 |
(case aa |
1494 |
of C v => |
|
1495 |
(if dvd (semiring_div_int, eq_int) i v then T else F) |
|
1496 |
| Bound _ => Dvd (i, aa) | Cn (_, _, _) => Dvd (i, aa) |
|
1497 |
| Neg _ => Dvd (i, aa) | Add (_, _) => Dvd (i, aa) |
|
1498 |
| Sub (_, _) => Dvd (i, aa) | Mul (_, _) => Dvd (i, aa)) |
|
29787 | 1499 |
end)) |
1500 |
| simpfm (NDvd (i, a)) = |
|
36528 | 1501 |
(if ((i : IntInf.int) = (0 : IntInf.int)) then simpfm (NEq a) |
1502 |
else (if (((abs_int i) : IntInf.int) = (1 : IntInf.int)) then F |
|
29787 | 1503 |
else let |
36528 | 1504 |
val aa = simpnum a; |
29787 | 1505 |
in |
36528 | 1506 |
(case aa |
1507 |
of C v => |
|
1508 |
(if not (dvd (semiring_div_int, eq_int) i v) then T |
|
1509 |
else F) |
|
1510 |
| Bound _ => NDvd (i, aa) | Cn (_, _, _) => NDvd (i, aa) |
|
1511 |
| Neg _ => NDvd (i, aa) | Add (_, _) => NDvd (i, aa) |
|
1512 |
| Sub (_, _) => NDvd (i, aa) | Mul (_, _) => NDvd (i, aa)) |
|
29787 | 1513 |
end)) |
1514 |
| simpfm T = T |
|
1515 |
| simpfm F = F |
|
1516 |
| simpfm (E v) = E v |
|
1517 |
| simpfm (A v) = A v |
|
1518 |
| simpfm (Closed v) = Closed v |
|
1519 |
| simpfm (NClosed v) = NClosed v; |
|
23466 | 1520 |
|
29787 | 1521 |
fun iupt i j = |
1522 |
(if IntInf.< (j, i) then [] |
|
1523 |
else i :: iupt (IntInf.+ (i, (1 : IntInf.int))) j); |
|
1524 |
||
1525 |
fun mirror (And (p, q)) = And (mirror p, mirror q) |
|
1526 |
| mirror (Or (p, q)) = Or (mirror p, mirror q) |
|
1527 |
| mirror T = T |
|
1528 |
| mirror F = F |
|
1529 |
| mirror (Lt (C bo)) = Lt (C bo) |
|
1530 |
| mirror (Lt (Bound bp)) = Lt (Bound bp) |
|
1531 |
| mirror (Lt (Neg bt)) = Lt (Neg bt) |
|
1532 |
| mirror (Lt (Add (bu, bv))) = Lt (Add (bu, bv)) |
|
1533 |
| mirror (Lt (Sub (bw, bx))) = Lt (Sub (bw, bx)) |
|
1534 |
| mirror (Lt (Mul (by, bz))) = Lt (Mul (by, bz)) |
|
1535 |
| mirror (Le (C co)) = Le (C co) |
|
1536 |
| mirror (Le (Bound cp)) = Le (Bound cp) |
|
1537 |
| mirror (Le (Neg ct)) = Le (Neg ct) |
|
1538 |
| mirror (Le (Add (cu, cv))) = Le (Add (cu, cv)) |
|
1539 |
| mirror (Le (Sub (cw, cx))) = Le (Sub (cw, cx)) |
|
1540 |
| mirror (Le (Mul (cy, cz))) = Le (Mul (cy, cz)) |
|
1541 |
| mirror (Gt (C doa)) = Gt (C doa) |
|
1542 |
| mirror (Gt (Bound dp)) = Gt (Bound dp) |
|
1543 |
| mirror (Gt (Neg dt)) = Gt (Neg dt) |
|
1544 |
| mirror (Gt (Add (du, dv))) = Gt (Add (du, dv)) |
|
1545 |
| mirror (Gt (Sub (dw, dx))) = Gt (Sub (dw, dx)) |
|
1546 |
| mirror (Gt (Mul (dy, dz))) = Gt (Mul (dy, dz)) |
|
1547 |
| mirror (Ge (C eo)) = Ge (C eo) |
|
1548 |
| mirror (Ge (Bound ep)) = Ge (Bound ep) |
|
1549 |
| mirror (Ge (Neg et)) = Ge (Neg et) |
|
1550 |
| mirror (Ge (Add (eu, ev))) = Ge (Add (eu, ev)) |
|
1551 |
| mirror (Ge (Sub (ew, ex))) = Ge (Sub (ew, ex)) |
|
1552 |
| mirror (Ge (Mul (ey, ez))) = Ge (Mul (ey, ez)) |
|
1553 |
| mirror (Eq (C fo)) = Eq (C fo) |
|
1554 |
| mirror (Eq (Bound fp)) = Eq (Bound fp) |
|
1555 |
| mirror (Eq (Neg ft)) = Eq (Neg ft) |
|
1556 |
| mirror (Eq (Add (fu, fv))) = Eq (Add (fu, fv)) |
|
1557 |
| mirror (Eq (Sub (fw, fx))) = Eq (Sub (fw, fx)) |
|
1558 |
| mirror (Eq (Mul (fy, fz))) = Eq (Mul (fy, fz)) |
|
1559 |
| mirror (NEq (C go)) = NEq (C go) |
|
1560 |
| mirror (NEq (Bound gp)) = NEq (Bound gp) |
|
1561 |
| mirror (NEq (Neg gt)) = NEq (Neg gt) |
|
1562 |
| mirror (NEq (Add (gu, gv))) = NEq (Add (gu, gv)) |
|
1563 |
| mirror (NEq (Sub (gw, gx))) = NEq (Sub (gw, gx)) |
|
1564 |
| mirror (NEq (Mul (gy, gz))) = NEq (Mul (gy, gz)) |
|
1565 |
| mirror (Dvd (aa, C ho)) = Dvd (aa, C ho) |
|
1566 |
| mirror (Dvd (aa, Bound hp)) = Dvd (aa, Bound hp) |
|
1567 |
| mirror (Dvd (aa, Neg ht)) = Dvd (aa, Neg ht) |
|
1568 |
| mirror (Dvd (aa, Add (hu, hv))) = Dvd (aa, Add (hu, hv)) |
|
1569 |
| mirror (Dvd (aa, Sub (hw, hx))) = Dvd (aa, Sub (hw, hx)) |
|
1570 |
| mirror (Dvd (aa, Mul (hy, hz))) = Dvd (aa, Mul (hy, hz)) |
|
1571 |
| mirror (NDvd (ac, C io)) = NDvd (ac, C io) |
|
1572 |
| mirror (NDvd (ac, Bound ip)) = NDvd (ac, Bound ip) |
|
1573 |
| mirror (NDvd (ac, Neg it)) = NDvd (ac, Neg it) |
|
1574 |
| mirror (NDvd (ac, Add (iu, iv))) = NDvd (ac, Add (iu, iv)) |
|
1575 |
| mirror (NDvd (ac, Sub (iw, ix))) = NDvd (ac, Sub (iw, ix)) |
|
1576 |
| mirror (NDvd (ac, Mul (iy, iz))) = NDvd (ac, Mul (iy, iz)) |
|
1577 |
| mirror (Not ae) = Not ae |
|
1578 |
| mirror (Imp (aj, ak)) = Imp (aj, ak) |
|
1579 |
| mirror (Iff (al, am)) = Iff (al, am) |
|
1580 |
| mirror (E an) = E an |
|
1581 |
| mirror (A ao) = A ao |
|
1582 |
| mirror (Closed ap) = Closed ap |
|
1583 |
| mirror (NClosed aq) = NClosed aq |
|
1584 |
| mirror (Lt (Cn (cm, c, e))) = |
|
36528 | 1585 |
(if ((cm : IntInf.int) = (0 : IntInf.int)) |
1586 |
then Gt (Cn ((0 : IntInf.int), c, Neg e)) |
|
1587 |
else Lt (Cn (suc (minus_nat cm (1 : IntInf.int)), c, e))) |
|
29787 | 1588 |
| mirror (Le (Cn (dm, c, e))) = |
36528 | 1589 |
(if ((dm : IntInf.int) = (0 : IntInf.int)) |
1590 |
then Ge (Cn ((0 : IntInf.int), c, Neg e)) |
|
1591 |
else Le (Cn (suc (minus_nat dm (1 : IntInf.int)), c, e))) |
|
29787 | 1592 |
| mirror (Gt (Cn (em, c, e))) = |
36528 | 1593 |
(if ((em : IntInf.int) = (0 : IntInf.int)) |
1594 |
then Lt (Cn ((0 : IntInf.int), c, Neg e)) |
|
1595 |
else Gt (Cn (suc (minus_nat em (1 : IntInf.int)), c, e))) |
|
29787 | 1596 |
| mirror (Ge (Cn (fm, c, e))) = |
36528 | 1597 |
(if ((fm : IntInf.int) = (0 : IntInf.int)) |
1598 |
then Le (Cn ((0 : IntInf.int), c, Neg e)) |
|
1599 |
else Ge (Cn (suc (minus_nat fm (1 : IntInf.int)), c, e))) |
|
29787 | 1600 |
| mirror (Eq (Cn (gm, c, e))) = |
36528 | 1601 |
(if ((gm : IntInf.int) = (0 : IntInf.int)) |
1602 |
then Eq (Cn ((0 : IntInf.int), c, Neg e)) |
|
1603 |
else Eq (Cn (suc (minus_nat gm (1 : IntInf.int)), c, e))) |
|
29787 | 1604 |
| mirror (NEq (Cn (hm, c, e))) = |
36528 | 1605 |
(if ((hm : IntInf.int) = (0 : IntInf.int)) |
1606 |
then NEq (Cn ((0 : IntInf.int), c, Neg e)) |
|
1607 |
else NEq (Cn (suc (minus_nat hm (1 : IntInf.int)), c, e))) |
|
29787 | 1608 |
| mirror (Dvd (i, Cn (im, c, e))) = |
36528 | 1609 |
(if ((im : IntInf.int) = (0 : IntInf.int)) |
1610 |
then Dvd (i, Cn ((0 : IntInf.int), c, Neg e)) |
|
1611 |
else Dvd (i, Cn (suc (minus_nat im (1 : IntInf.int)), c, e))) |
|
29787 | 1612 |
| mirror (NDvd (i, Cn (jm, c, e))) = |
36528 | 1613 |
(if ((jm : IntInf.int) = (0 : IntInf.int)) |
1614 |
then NDvd (i, Cn ((0 : IntInf.int), c, Neg e)) |
|
1615 |
else NDvd (i, Cn (suc (minus_nat jm (1 : IntInf.int)), c, e))); |
|
29787 | 1616 |
|
36528 | 1617 |
fun size_list [] = (0 : IntInf.int) |
1618 |
| size_list (a :: lista) = IntInf.+ (size_list lista, suc (0 : IntInf.int)); |
|
23466 | 1619 |
|
29787 | 1620 |
fun alpha (And (p, q)) = append (alpha p) (alpha q) |
1621 |
| alpha (Or (p, q)) = append (alpha p) (alpha q) |
|
1622 |
| alpha T = [] |
|
1623 |
| alpha F = [] |
|
1624 |
| alpha (Lt (C bo)) = [] |
|
1625 |
| alpha (Lt (Bound bp)) = [] |
|
1626 |
| alpha (Lt (Neg bt)) = [] |
|
1627 |
| alpha (Lt (Add (bu, bv))) = [] |
|
1628 |
| alpha (Lt (Sub (bw, bx))) = [] |
|
1629 |
| alpha (Lt (Mul (by, bz))) = [] |
|
1630 |
| alpha (Le (C co)) = [] |
|
1631 |
| alpha (Le (Bound cp)) = [] |
|
1632 |
| alpha (Le (Neg ct)) = [] |
|
1633 |
| alpha (Le (Add (cu, cv))) = [] |
|
1634 |
| alpha (Le (Sub (cw, cx))) = [] |
|
1635 |
| alpha (Le (Mul (cy, cz))) = [] |
|
1636 |
| alpha (Gt (C doa)) = [] |
|
1637 |
| alpha (Gt (Bound dp)) = [] |
|
1638 |
| alpha (Gt (Neg dt)) = [] |
|
1639 |
| alpha (Gt (Add (du, dv))) = [] |
|
1640 |
| alpha (Gt (Sub (dw, dx))) = [] |
|
1641 |
| alpha (Gt (Mul (dy, dz))) = [] |
|
1642 |
| alpha (Ge (C eo)) = [] |
|
1643 |
| alpha (Ge (Bound ep)) = [] |
|
1644 |
| alpha (Ge (Neg et)) = [] |
|
1645 |
| alpha (Ge (Add (eu, ev))) = [] |
|
1646 |
| alpha (Ge (Sub (ew, ex))) = [] |
|
1647 |
| alpha (Ge (Mul (ey, ez))) = [] |
|
1648 |
| alpha (Eq (C fo)) = [] |
|
1649 |
| alpha (Eq (Bound fp)) = [] |
|
1650 |
| alpha (Eq (Neg ft)) = [] |
|
1651 |
| alpha (Eq (Add (fu, fv))) = [] |
|
1652 |
| alpha (Eq (Sub (fw, fx))) = [] |
|
1653 |
| alpha (Eq (Mul (fy, fz))) = [] |
|
1654 |
| alpha (NEq (C go)) = [] |
|
1655 |
| alpha (NEq (Bound gp)) = [] |
|
1656 |
| alpha (NEq (Neg gt)) = [] |
|
1657 |
| alpha (NEq (Add (gu, gv))) = [] |
|
1658 |
| alpha (NEq (Sub (gw, gx))) = [] |
|
1659 |
| alpha (NEq (Mul (gy, gz))) = [] |
|
1660 |
| alpha (Dvd (aa, ab)) = [] |
|
1661 |
| alpha (NDvd (ac, ad)) = [] |
|
1662 |
| alpha (Not ae) = [] |
|
1663 |
| alpha (Imp (aj, ak)) = [] |
|
1664 |
| alpha (Iff (al, am)) = [] |
|
1665 |
| alpha (E an) = [] |
|
1666 |
| alpha (A ao) = [] |
|
1667 |
| alpha (Closed ap) = [] |
|
1668 |
| alpha (NClosed aq) = [] |
|
36528 | 1669 |
| alpha (Lt (Cn (cm, c, e))) = |
1670 |
(if ((cm : IntInf.int) = (0 : IntInf.int)) then [e] else []) |
|
29787 | 1671 |
| alpha (Le (Cn (dm, c, e))) = |
36528 | 1672 |
(if ((dm : IntInf.int) = (0 : IntInf.int)) |
1673 |
then [Add (C (~1 : IntInf.int), e)] else []) |
|
1674 |
| alpha (Gt (Cn (em, c, e))) = |
|
1675 |
(if ((em : IntInf.int) = (0 : IntInf.int)) then [] else []) |
|
1676 |
| alpha (Ge (Cn (fm, c, e))) = |
|
1677 |
(if ((fm : IntInf.int) = (0 : IntInf.int)) then [] else []) |
|
29787 | 1678 |
| alpha (Eq (Cn (gm, c, e))) = |
36528 | 1679 |
(if ((gm : IntInf.int) = (0 : IntInf.int)) |
1680 |
then [Add (C (~1 : IntInf.int), e)] else []) |
|
1681 |
| alpha (NEq (Cn (hm, c, e))) = |
|
1682 |
(if ((hm : IntInf.int) = (0 : IntInf.int)) then [e] else []); |
|
29787 | 1683 |
|
1684 |
fun beta (And (p, q)) = append (beta p) (beta q) |
|
1685 |
| beta (Or (p, q)) = append (beta p) (beta q) |
|
1686 |
| beta T = [] |
|
1687 |
| beta F = [] |
|
1688 |
| beta (Lt (C bo)) = [] |
|
1689 |
| beta (Lt (Bound bp)) = [] |
|
1690 |
| beta (Lt (Neg bt)) = [] |
|
1691 |
| beta (Lt (Add (bu, bv))) = [] |
|
1692 |
| beta (Lt (Sub (bw, bx))) = [] |
|
1693 |
| beta (Lt (Mul (by, bz))) = [] |
|
1694 |
| beta (Le (C co)) = [] |
|
1695 |
| beta (Le (Bound cp)) = [] |
|
1696 |
| beta (Le (Neg ct)) = [] |
|
1697 |
| beta (Le (Add (cu, cv))) = [] |
|
1698 |
| beta (Le (Sub (cw, cx))) = [] |
|
1699 |
| beta (Le (Mul (cy, cz))) = [] |
|
1700 |
| beta (Gt (C doa)) = [] |
|
1701 |
| beta (Gt (Bound dp)) = [] |
|
1702 |
| beta (Gt (Neg dt)) = [] |
|
1703 |
| beta (Gt (Add (du, dv))) = [] |
|
1704 |
| beta (Gt (Sub (dw, dx))) = [] |
|
1705 |
| beta (Gt (Mul (dy, dz))) = [] |
|
1706 |
| beta (Ge (C eo)) = [] |
|
1707 |
| beta (Ge (Bound ep)) = [] |
|
1708 |
| beta (Ge (Neg et)) = [] |
|
1709 |
| beta (Ge (Add (eu, ev))) = [] |
|
1710 |
| beta (Ge (Sub (ew, ex))) = [] |
|
1711 |
| beta (Ge (Mul (ey, ez))) = [] |
|
1712 |
| beta (Eq (C fo)) = [] |
|
1713 |
| beta (Eq (Bound fp)) = [] |
|
1714 |
| beta (Eq (Neg ft)) = [] |
|
1715 |
| beta (Eq (Add (fu, fv))) = [] |
|
1716 |
| beta (Eq (Sub (fw, fx))) = [] |
|
1717 |
| beta (Eq (Mul (fy, fz))) = [] |
|
1718 |
| beta (NEq (C go)) = [] |
|
1719 |
| beta (NEq (Bound gp)) = [] |
|
1720 |
| beta (NEq (Neg gt)) = [] |
|
1721 |
| beta (NEq (Add (gu, gv))) = [] |
|
1722 |
| beta (NEq (Sub (gw, gx))) = [] |
|
1723 |
| beta (NEq (Mul (gy, gz))) = [] |
|
1724 |
| beta (Dvd (aa, ab)) = [] |
|
1725 |
| beta (NDvd (ac, ad)) = [] |
|
1726 |
| beta (Not ae) = [] |
|
1727 |
| beta (Imp (aj, ak)) = [] |
|
1728 |
| beta (Iff (al, am)) = [] |
|
1729 |
| beta (E an) = [] |
|
1730 |
| beta (A ao) = [] |
|
1731 |
| beta (Closed ap) = [] |
|
1732 |
| beta (NClosed aq) = [] |
|
36528 | 1733 |
| beta (Lt (Cn (cm, c, e))) = |
1734 |
(if ((cm : IntInf.int) = (0 : IntInf.int)) then [] else []) |
|
1735 |
| beta (Le (Cn (dm, c, e))) = |
|
1736 |
(if ((dm : IntInf.int) = (0 : IntInf.int)) then [] else []) |
|
1737 |
| beta (Gt (Cn (em, c, e))) = |
|
1738 |
(if ((em : IntInf.int) = (0 : IntInf.int)) then [Neg e] else []) |
|
29787 | 1739 |
| beta (Ge (Cn (fm, c, e))) = |
36528 | 1740 |
(if ((fm : IntInf.int) = (0 : IntInf.int)) |
1741 |
then [Sub (C (~1 : IntInf.int), e)] else []) |
|
29787 | 1742 |
| beta (Eq (Cn (gm, c, e))) = |
36528 | 1743 |
(if ((gm : IntInf.int) = (0 : IntInf.int)) |
1744 |
then [Sub (C (~1 : IntInf.int), e)] else []) |
|
1745 |
| beta (NEq (Cn (hm, c, e))) = |
|
1746 |
(if ((hm : IntInf.int) = (0 : IntInf.int)) then [Neg e] else []); |
|
1747 |
||
1748 |
val eq_numa = {eq = eq_num} : num eq; |
|
29787 | 1749 |
|
1750 |
fun member A_ x [] = false |
|
36528 | 1751 |
| member A_ x (y :: ys) = eqa A_ x y orelse member A_ x ys; |
29787 | 1752 |
|
1753 |
fun remdups A_ [] = [] |
|
1754 |
| remdups A_ (x :: xs) = |
|
1755 |
(if member A_ x xs then remdups A_ xs else x :: remdups A_ xs); |
|
1756 |
||
36528 | 1757 |
fun gcd_int k l = |
1758 |
abs_int |
|
1759 |
(if ((l : IntInf.int) = (0 : IntInf.int)) then k |
|
1760 |
else gcd_int l (mod_int (abs_int k) (abs_int l))); |
|
1761 |
||
1762 |
fun lcm_int a b = div_int (IntInf.* (abs_int a, abs_int b)) (gcd_int a b); |
|
1763 |
||
1764 |
fun delta (And (p, q)) = lcm_int (delta p) (delta q) |
|
1765 |
| delta (Or (p, q)) = lcm_int (delta p) (delta q) |
|
29787 | 1766 |
| delta T = (1 : IntInf.int) |
1767 |
| delta F = (1 : IntInf.int) |
|
1768 |
| delta (Lt u) = (1 : IntInf.int) |
|
1769 |
| delta (Le v) = (1 : IntInf.int) |
|
1770 |
| delta (Gt w) = (1 : IntInf.int) |
|
1771 |
| delta (Ge x) = (1 : IntInf.int) |
|
29939 | 1772 |
| delta (Eq y) = (1 : IntInf.int) |
29787 | 1773 |
| delta (NEq z) = (1 : IntInf.int) |
1774 |
| delta (Dvd (aa, C bo)) = (1 : IntInf.int) |
|
1775 |
| delta (Dvd (aa, Bound bp)) = (1 : IntInf.int) |
|
1776 |
| delta (Dvd (aa, Neg bt)) = (1 : IntInf.int) |
|
1777 |
| delta (Dvd (aa, Add (bu, bv))) = (1 : IntInf.int) |
|
1778 |
| delta (Dvd (aa, Sub (bw, bx))) = (1 : IntInf.int) |
|
1779 |
| delta (Dvd (aa, Mul (by, bz))) = (1 : IntInf.int) |
|
1780 |
| delta (NDvd (ac, C co)) = (1 : IntInf.int) |
|
1781 |
| delta (NDvd (ac, Bound cp)) = (1 : IntInf.int) |
|
1782 |
| delta (NDvd (ac, Neg ct)) = (1 : IntInf.int) |
|
1783 |
| delta (NDvd (ac, Add (cu, cv))) = (1 : IntInf.int) |
|
1784 |
| delta (NDvd (ac, Sub (cw, cx))) = (1 : IntInf.int) |
|
1785 |
| delta (NDvd (ac, Mul (cy, cz))) = (1 : IntInf.int) |
|
1786 |
| delta (Not ae) = (1 : IntInf.int) |
|
1787 |
| delta (Imp (aj, ak)) = (1 : IntInf.int) |
|
1788 |
| delta (Iff (al, am)) = (1 : IntInf.int) |
|
1789 |
| delta (E an) = (1 : IntInf.int) |
|
1790 |
| delta (A ao) = (1 : IntInf.int) |
|
1791 |
| delta (Closed ap) = (1 : IntInf.int) |
|
1792 |
| delta (NClosed aq) = (1 : IntInf.int) |
|
29939 | 1793 |
| delta (Dvd (i, Cn (cm, c, e))) = |
36528 | 1794 |
(if ((cm : IntInf.int) = (0 : IntInf.int)) then i else (1 : IntInf.int)) |
29939 | 1795 |
| delta (NDvd (i, Cn (dm, c, e))) = |
36528 | 1796 |
(if ((dm : IntInf.int) = (0 : IntInf.int)) then i else (1 : IntInf.int)); |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
1797 |
|
29787 | 1798 |
fun a_beta (And (p, q)) = (fn k => And (a_beta p k, a_beta q k)) |
1799 |
| a_beta (Or (p, q)) = (fn k => Or (a_beta p k, a_beta q k)) |
|
36528 | 1800 |
| a_beta T = (fn _ => T) |
1801 |
| a_beta F = (fn _ => F) |
|
1802 |
| a_beta (Lt (C bo)) = (fn _ => Lt (C bo)) |
|
1803 |
| a_beta (Lt (Bound bp)) = (fn _ => Lt (Bound bp)) |
|
1804 |
| a_beta (Lt (Neg bt)) = (fn _ => Lt (Neg bt)) |
|
1805 |
| a_beta (Lt (Add (bu, bv))) = (fn _ => Lt (Add (bu, bv))) |
|
1806 |
| a_beta (Lt (Sub (bw, bx))) = (fn _ => Lt (Sub (bw, bx))) |
|
1807 |
| a_beta (Lt (Mul (by, bz))) = (fn _ => Lt (Mul (by, bz))) |
|
1808 |
| a_beta (Le (C co)) = (fn _ => Le (C co)) |
|
1809 |
| a_beta (Le (Bound cp)) = (fn _ => Le (Bound cp)) |
|
1810 |
| a_beta (Le (Neg ct)) = (fn _ => Le (Neg ct)) |
|
1811 |
| a_beta (Le (Add (cu, cv))) = (fn _ => Le (Add (cu, cv))) |
|
1812 |
| a_beta (Le (Sub (cw, cx))) = (fn _ => Le (Sub (cw, cx))) |
|
1813 |
| a_beta (Le (Mul (cy, cz))) = (fn _ => Le (Mul (cy, cz))) |
|
1814 |
| a_beta (Gt (C doa)) = (fn _ => Gt (C doa)) |
|
1815 |
| a_beta (Gt (Bound dp)) = (fn _ => Gt (Bound dp)) |
|
1816 |
| a_beta (Gt (Neg dt)) = (fn _ => Gt (Neg dt)) |
|
1817 |
| a_beta (Gt (Add (du, dv))) = (fn _ => Gt (Add (du, dv))) |
|
1818 |
| a_beta (Gt (Sub (dw, dx))) = (fn _ => Gt (Sub (dw, dx))) |
|
1819 |
| a_beta (Gt (Mul (dy, dz))) = (fn _ => Gt (Mul (dy, dz))) |
|
1820 |
| a_beta (Ge (C eo)) = (fn _ => Ge (C eo)) |
|
1821 |
| a_beta (Ge (Bound ep)) = (fn _ => Ge (Bound ep)) |
|
1822 |
| a_beta (Ge (Neg et)) = (fn _ => Ge (Neg et)) |
|
1823 |
| a_beta (Ge (Add (eu, ev))) = (fn _ => Ge (Add (eu, ev))) |
|
1824 |
| a_beta (Ge (Sub (ew, ex))) = (fn _ => Ge (Sub (ew, ex))) |
|
1825 |
| a_beta (Ge (Mul (ey, ez))) = (fn _ => Ge (Mul (ey, ez))) |
|
1826 |
| a_beta (Eq (C fo)) = (fn _ => Eq (C fo)) |
|
1827 |
| a_beta (Eq (Bound fp)) = (fn _ => Eq (Bound fp)) |
|
1828 |
| a_beta (Eq (Neg ft)) = (fn _ => Eq (Neg ft)) |
|
1829 |
| a_beta (Eq (Add (fu, fv))) = (fn _ => Eq (Add (fu, fv))) |
|
1830 |
| a_beta (Eq (Sub (fw, fx))) = (fn _ => Eq (Sub (fw, fx))) |
|
1831 |
| a_beta (Eq (Mul (fy, fz))) = (fn _ => Eq (Mul (fy, fz))) |
|
1832 |
| a_beta (NEq (C go)) = (fn _ => NEq (C go)) |
|
1833 |
| a_beta (NEq (Bound gp)) = (fn _ => NEq (Bound gp)) |
|
1834 |
| a_beta (NEq (Neg gt)) = (fn _ => NEq (Neg gt)) |
|
1835 |
| a_beta (NEq (Add (gu, gv))) = (fn _ => NEq (Add (gu, gv))) |
|
1836 |
| a_beta (NEq (Sub (gw, gx))) = (fn _ => NEq (Sub (gw, gx))) |
|
1837 |
| a_beta (NEq (Mul (gy, gz))) = (fn _ => NEq (Mul (gy, gz))) |
|
1838 |
| a_beta (Dvd (aa, C ho)) = (fn _ => Dvd (aa, C ho)) |
|
1839 |
| a_beta (Dvd (aa, Bound hp)) = (fn _ => Dvd (aa, Bound hp)) |
|
1840 |
| a_beta (Dvd (aa, Neg ht)) = (fn _ => Dvd (aa, Neg ht)) |
|
1841 |
| a_beta (Dvd (aa, Add (hu, hv))) = (fn _ => Dvd (aa, Add (hu, hv))) |
|
1842 |
| a_beta (Dvd (aa, Sub (hw, hx))) = (fn _ => Dvd (aa, Sub (hw, hx))) |
|
1843 |
| a_beta (Dvd (aa, Mul (hy, hz))) = (fn _ => Dvd (aa, Mul (hy, hz))) |
|
1844 |
| a_beta (NDvd (ac, C io)) = (fn _ => NDvd (ac, C io)) |
|
1845 |
| a_beta (NDvd (ac, Bound ip)) = (fn _ => NDvd (ac, Bound ip)) |
|
1846 |
| a_beta (NDvd (ac, Neg it)) = (fn _ => NDvd (ac, Neg it)) |
|
1847 |
| a_beta (NDvd (ac, Add (iu, iv))) = (fn _ => NDvd (ac, Add (iu, iv))) |
|
1848 |
| a_beta (NDvd (ac, Sub (iw, ix))) = (fn _ => NDvd (ac, Sub (iw, ix))) |
|
1849 |
| a_beta (NDvd (ac, Mul (iy, iz))) = (fn _ => NDvd (ac, Mul (iy, iz))) |
|
1850 |
| a_beta (Not ae) = (fn _ => Not ae) |
|
1851 |
| a_beta (Imp (aj, ak)) = (fn _ => Imp (aj, ak)) |
|
1852 |
| a_beta (Iff (al, am)) = (fn _ => Iff (al, am)) |
|
1853 |
| a_beta (E an) = (fn _ => E an) |
|
1854 |
| a_beta (A ao) = (fn _ => A ao) |
|
1855 |
| a_beta (Closed ap) = (fn _ => Closed ap) |
|
1856 |
| a_beta (NClosed aq) = (fn _ => NClosed aq) |
|
29787 | 1857 |
| a_beta (Lt (Cn (cm, c, e))) = |
36528 | 1858 |
(if ((cm : IntInf.int) = (0 : IntInf.int)) |
1859 |
then (fn k => |
|
1860 |
Lt (Cn ((0 : IntInf.int), (1 : IntInf.int), Mul (div_int k c, e)))) |
|
1861 |
else (fn _ => Lt (Cn (suc (minus_nat cm (1 : IntInf.int)), c, e)))) |
|
29787 | 1862 |
| a_beta (Le (Cn (dm, c, e))) = |
36528 | 1863 |
(if ((dm : IntInf.int) = (0 : IntInf.int)) |
1864 |
then (fn k => |
|
1865 |
Le (Cn ((0 : IntInf.int), (1 : IntInf.int), Mul (div_int k c, e)))) |
|
1866 |
else (fn _ => Le (Cn (suc (minus_nat dm (1 : IntInf.int)), c, e)))) |
|
29787 | 1867 |
| a_beta (Gt (Cn (em, c, e))) = |
36528 | 1868 |
(if ((em : IntInf.int) = (0 : IntInf.int)) |
1869 |
then (fn k => |
|
1870 |
Gt (Cn ((0 : IntInf.int), (1 : IntInf.int), Mul (div_int k c, e)))) |
|
1871 |
else (fn _ => Gt (Cn (suc (minus_nat em (1 : IntInf.int)), c, e)))) |
|
29787 | 1872 |
| a_beta (Ge (Cn (fm, c, e))) = |
36528 | 1873 |
(if ((fm : IntInf.int) = (0 : IntInf.int)) |
1874 |
then (fn k => |
|
1875 |
Ge (Cn ((0 : IntInf.int), (1 : IntInf.int), Mul (div_int k c, e)))) |
|
1876 |
else (fn _ => Ge (Cn (suc (minus_nat fm (1 : IntInf.int)), c, e)))) |
|
29787 | 1877 |
| a_beta (Eq (Cn (gm, c, e))) = |
36528 | 1878 |
(if ((gm : IntInf.int) = (0 : IntInf.int)) |
1879 |
then (fn k => |
|
1880 |
Eq (Cn ((0 : IntInf.int), (1 : IntInf.int), Mul (div_int k c, e)))) |
|
1881 |
else (fn _ => Eq (Cn (suc (minus_nat gm (1 : IntInf.int)), c, e)))) |
|
29787 | 1882 |
| a_beta (NEq (Cn (hm, c, e))) = |
36528 | 1883 |
(if ((hm : IntInf.int) = (0 : IntInf.int)) |
1884 |
then (fn k => |
|
1885 |
NEq (Cn ((0 : IntInf.int), (1 : IntInf.int), |
|
1886 |
Mul (div_int k c, e)))) |
|
1887 |
else (fn _ => NEq (Cn (suc (minus_nat hm (1 : IntInf.int)), c, e)))) |
|
29787 | 1888 |
| a_beta (Dvd (i, Cn (im, c, e))) = |
36528 | 1889 |
(if ((im : IntInf.int) = (0 : IntInf.int)) |
29787 | 1890 |
then (fn k => |
1891 |
Dvd (IntInf.* (div_int k c, i), |
|
36528 | 1892 |
Cn ((0 : IntInf.int), (1 : IntInf.int), |
1893 |
Mul (div_int k c, e)))) |
|
1894 |
else (fn _ => Dvd (i, Cn (suc (minus_nat im (1 : IntInf.int)), c, e)))) |
|
29787 | 1895 |
| a_beta (NDvd (i, Cn (jm, c, e))) = |
36528 | 1896 |
(if ((jm : IntInf.int) = (0 : IntInf.int)) |
29787 | 1897 |
then (fn k => |
1898 |
NDvd (IntInf.* (div_int k c, i), |
|
36528 | 1899 |
Cn ((0 : IntInf.int), (1 : IntInf.int), |
1900 |
Mul (div_int k c, e)))) |
|
1901 |
else (fn _ => NDvd (i, Cn (suc (minus_nat jm (1 : IntInf.int)), c, e)))); |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
1902 |
|
36528 | 1903 |
fun zeta (And (p, q)) = lcm_int (zeta p) (zeta q) |
1904 |
| zeta (Or (p, q)) = lcm_int (zeta p) (zeta q) |
|
29787 | 1905 |
| zeta T = (1 : IntInf.int) |
1906 |
| zeta F = (1 : IntInf.int) |
|
1907 |
| zeta (Lt (C bo)) = (1 : IntInf.int) |
|
1908 |
| zeta (Lt (Bound bp)) = (1 : IntInf.int) |
|
1909 |
| zeta (Lt (Neg bt)) = (1 : IntInf.int) |
|
1910 |
| zeta (Lt (Add (bu, bv))) = (1 : IntInf.int) |
|
1911 |
| zeta (Lt (Sub (bw, bx))) = (1 : IntInf.int) |
|
1912 |
| zeta (Lt (Mul (by, bz))) = (1 : IntInf.int) |
|
1913 |
| zeta (Le (C co)) = (1 : IntInf.int) |
|
1914 |
| zeta (Le (Bound cp)) = (1 : IntInf.int) |
|
1915 |
| zeta (Le (Neg ct)) = (1 : IntInf.int) |
|
1916 |
| zeta (Le (Add (cu, cv))) = (1 : IntInf.int) |
|
1917 |
| zeta (Le (Sub (cw, cx))) = (1 : IntInf.int) |
|
1918 |
| zeta (Le (Mul (cy, cz))) = (1 : IntInf.int) |
|
1919 |
| zeta (Gt (C doa)) = (1 : IntInf.int) |
|
1920 |
| zeta (Gt (Bound dp)) = (1 : IntInf.int) |
|
1921 |
| zeta (Gt (Neg dt)) = (1 : IntInf.int) |
|
1922 |
| zeta (Gt (Add (du, dv))) = (1 : IntInf.int) |
|
1923 |
| zeta (Gt (Sub (dw, dx))) = (1 : IntInf.int) |
|
1924 |
| zeta (Gt (Mul (dy, dz))) = (1 : IntInf.int) |
|
1925 |
| zeta (Ge (C eo)) = (1 : IntInf.int) |
|
1926 |
| zeta (Ge (Bound ep)) = (1 : IntInf.int) |
|
1927 |
| zeta (Ge (Neg et)) = (1 : IntInf.int) |
|
1928 |
| zeta (Ge (Add (eu, ev))) = (1 : IntInf.int) |
|
1929 |
| zeta (Ge (Sub (ew, ex))) = (1 : IntInf.int) |
|
1930 |
| zeta (Ge (Mul (ey, ez))) = (1 : IntInf.int) |
|
1931 |
| zeta (Eq (C fo)) = (1 : IntInf.int) |
|
1932 |
| zeta (Eq (Bound fp)) = (1 : IntInf.int) |
|
1933 |
| zeta (Eq (Neg ft)) = (1 : IntInf.int) |
|
1934 |
| zeta (Eq (Add (fu, fv))) = (1 : IntInf.int) |
|
1935 |
| zeta (Eq (Sub (fw, fx))) = (1 : IntInf.int) |
|
1936 |
| zeta (Eq (Mul (fy, fz))) = (1 : IntInf.int) |
|
1937 |
| zeta (NEq (C go)) = (1 : IntInf.int) |
|
1938 |
| zeta (NEq (Bound gp)) = (1 : IntInf.int) |
|
1939 |
| zeta (NEq (Neg gt)) = (1 : IntInf.int) |
|
1940 |
| zeta (NEq (Add (gu, gv))) = (1 : IntInf.int) |
|
1941 |
| zeta (NEq (Sub (gw, gx))) = (1 : IntInf.int) |
|
1942 |
| zeta (NEq (Mul (gy, gz))) = (1 : IntInf.int) |
|
1943 |
| zeta (Dvd (aa, C ho)) = (1 : IntInf.int) |
|
1944 |
| zeta (Dvd (aa, Bound hp)) = (1 : IntInf.int) |
|
1945 |
| zeta (Dvd (aa, Neg ht)) = (1 : IntInf.int) |
|
1946 |
| zeta (Dvd (aa, Add (hu, hv))) = (1 : IntInf.int) |
|
1947 |
| zeta (Dvd (aa, Sub (hw, hx))) = (1 : IntInf.int) |
|
1948 |
| zeta (Dvd (aa, Mul (hy, hz))) = (1 : IntInf.int) |
|
1949 |
| zeta (NDvd (ac, C io)) = (1 : IntInf.int) |
|
1950 |
| zeta (NDvd (ac, Bound ip)) = (1 : IntInf.int) |
|
1951 |
| zeta (NDvd (ac, Neg it)) = (1 : IntInf.int) |
|
1952 |
| zeta (NDvd (ac, Add (iu, iv))) = (1 : IntInf.int) |
|
1953 |
| zeta (NDvd (ac, Sub (iw, ix))) = (1 : IntInf.int) |
|
1954 |
| zeta (NDvd (ac, Mul (iy, iz))) = (1 : IntInf.int) |
|
1955 |
| zeta (Not ae) = (1 : IntInf.int) |
|
1956 |
| zeta (Imp (aj, ak)) = (1 : IntInf.int) |
|
1957 |
| zeta (Iff (al, am)) = (1 : IntInf.int) |
|
1958 |
| zeta (E an) = (1 : IntInf.int) |
|
1959 |
| zeta (A ao) = (1 : IntInf.int) |
|
1960 |
| zeta (Closed ap) = (1 : IntInf.int) |
|
1961 |
| zeta (NClosed aq) = (1 : IntInf.int) |
|
29939 | 1962 |
| zeta (Lt (Cn (cm, c, e))) = |
36528 | 1963 |
(if ((cm : IntInf.int) = (0 : IntInf.int)) then c else (1 : IntInf.int)) |
29939 | 1964 |
| zeta (Le (Cn (dm, c, e))) = |
36528 | 1965 |
(if ((dm : IntInf.int) = (0 : IntInf.int)) then c else (1 : IntInf.int)) |
29939 | 1966 |
| zeta (Gt (Cn (em, c, e))) = |
36528 | 1967 |
(if ((em : IntInf.int) = (0 : IntInf.int)) then c else (1 : IntInf.int)) |
29939 | 1968 |
| zeta (Ge (Cn (fm, c, e))) = |
36528 | 1969 |
(if ((fm : IntInf.int) = (0 : IntInf.int)) then c else (1 : IntInf.int)) |
29939 | 1970 |
| zeta (Eq (Cn (gm, c, e))) = |
36528 | 1971 |
(if ((gm : IntInf.int) = (0 : IntInf.int)) then c else (1 : IntInf.int)) |
29939 | 1972 |
| zeta (NEq (Cn (hm, c, e))) = |
36528 | 1973 |
(if ((hm : IntInf.int) = (0 : IntInf.int)) then c else (1 : IntInf.int)) |
29939 | 1974 |
| zeta (Dvd (i, Cn (im, c, e))) = |
36528 | 1975 |
(if ((im : IntInf.int) = (0 : IntInf.int)) then c else (1 : IntInf.int)) |
29939 | 1976 |
| zeta (NDvd (i, Cn (jm, c, e))) = |
36528 | 1977 |
(if ((jm : IntInf.int) = (0 : IntInf.int)) then c else (1 : IntInf.int)); |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
1978 |
|
29787 | 1979 |
fun zsplit0 (C c) = ((0 : IntInf.int), C c) |
1980 |
| zsplit0 (Bound n) = |
|
36528 | 1981 |
(if ((n : IntInf.int) = (0 : IntInf.int)) |
1982 |
then ((1 : IntInf.int), C (0 : IntInf.int)) |
|
29787 | 1983 |
else ((0 : IntInf.int), Bound n)) |
1984 |
| zsplit0 (Cn (n, i, a)) = |
|
1985 |
let |
|
36528 | 1986 |
val (ia, aa) = zsplit0 a; |
29787 | 1987 |
in |
36528 | 1988 |
(if ((n : IntInf.int) = (0 : IntInf.int)) then (IntInf.+ (i, ia), aa) |
1989 |
else (ia, Cn (n, i, aa))) |
|
29787 | 1990 |
end |
1991 |
| zsplit0 (Neg a) = |
|
1992 |
let |
|
36528 | 1993 |
val (i, aa) = zsplit0 a; |
29787 | 1994 |
in |
36528 | 1995 |
(IntInf.~ i, Neg aa) |
29787 | 1996 |
end |
1997 |
| zsplit0 (Add (a, b)) = |
|
1998 |
let |
|
36528 | 1999 |
val (ia, aa) = zsplit0 a; |
2000 |
val (ib, ba) = zsplit0 b; |
|
29787 | 2001 |
in |
36528 | 2002 |
(IntInf.+ (ia, ib), Add (aa, ba)) |
29787 | 2003 |
end |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2004 |
| zsplit0 (Sub (a, b)) = |
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2005 |
let |
36528 | 2006 |
val (ia, aa) = zsplit0 a; |
2007 |
val (ib, ba) = zsplit0 b; |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2008 |
in |
36528 | 2009 |
(IntInf.- (ia, ib), Sub (aa, ba)) |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2010 |
end |
29787 | 2011 |
| zsplit0 (Mul (i, a)) = |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2012 |
let |
36528 | 2013 |
val (ia, aa) = zsplit0 a; |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2014 |
in |
36528 | 2015 |
(IntInf.* (i, ia), Mul (i, aa)) |
29787 | 2016 |
end; |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2017 |
|
29787 | 2018 |
fun zlfm (And (p, q)) = And (zlfm p, zlfm q) |
2019 |
| zlfm (Or (p, q)) = Or (zlfm p, zlfm q) |
|
2020 |
| zlfm (Imp (p, q)) = Or (zlfm (Not p), zlfm q) |
|
2021 |
| zlfm (Iff (p, q)) = |
|
2022 |
Or (And (zlfm p, zlfm q), And (zlfm (Not p), zlfm (Not q))) |
|
2023 |
| zlfm (Lt a) = |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2024 |
let |
36528 | 2025 |
val (c, r) = zsplit0 a; |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2026 |
in |
36528 | 2027 |
(if ((c : IntInf.int) = (0 : IntInf.int)) then Lt r |
2028 |
else (if IntInf.< ((0 : IntInf.int), c) |
|
2029 |
then Lt (Cn ((0 : IntInf.int), c, r)) |
|
2030 |
else Gt (Cn ((0 : IntInf.int), IntInf.~ c, Neg r)))) |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2031 |
end |
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2032 |
| zlfm (Le a) = |
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2033 |
let |
36528 | 2034 |
val (c, r) = zsplit0 a; |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2035 |
in |
36528 | 2036 |
(if ((c : IntInf.int) = (0 : IntInf.int)) then Le r |
2037 |
else (if IntInf.< ((0 : IntInf.int), c) |
|
2038 |
then Le (Cn ((0 : IntInf.int), c, r)) |
|
2039 |
else Ge (Cn ((0 : IntInf.int), IntInf.~ c, Neg r)))) |
|
29787 | 2040 |
end |
2041 |
| zlfm (Gt a) = |
|
2042 |
let |
|
36528 | 2043 |
val (c, r) = zsplit0 a; |
29787 | 2044 |
in |
36528 | 2045 |
(if ((c : IntInf.int) = (0 : IntInf.int)) then Gt r |
2046 |
else (if IntInf.< ((0 : IntInf.int), c) |
|
2047 |
then Gt (Cn ((0 : IntInf.int), c, r)) |
|
2048 |
else Lt (Cn ((0 : IntInf.int), IntInf.~ c, Neg r)))) |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2049 |
end |
29787 | 2050 |
| zlfm (Ge a) = |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2051 |
let |
36528 | 2052 |
val (c, r) = zsplit0 a; |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2053 |
in |
36528 | 2054 |
(if ((c : IntInf.int) = (0 : IntInf.int)) then Ge r |
2055 |
else (if IntInf.< ((0 : IntInf.int), c) |
|
2056 |
then Ge (Cn ((0 : IntInf.int), c, r)) |
|
2057 |
else Le (Cn ((0 : IntInf.int), IntInf.~ c, Neg r)))) |
|
29787 | 2058 |
end |
2059 |
| zlfm (Eq a) = |
|
2060 |
let |
|
36528 | 2061 |
val (c, r) = zsplit0 a; |
29787 | 2062 |
in |
36528 | 2063 |
(if ((c : IntInf.int) = (0 : IntInf.int)) then Eq r |
2064 |
else (if IntInf.< ((0 : IntInf.int), c) |
|
2065 |
then Eq (Cn ((0 : IntInf.int), c, r)) |
|
2066 |
else Eq (Cn ((0 : IntInf.int), IntInf.~ c, Neg r)))) |
|
29787 | 2067 |
end |
2068 |
| zlfm (NEq a) = |
|
2069 |
let |
|
36528 | 2070 |
val (c, r) = zsplit0 a; |
29787 | 2071 |
in |
36528 | 2072 |
(if ((c : IntInf.int) = (0 : IntInf.int)) then NEq r |
2073 |
else (if IntInf.< ((0 : IntInf.int), c) |
|
2074 |
then NEq (Cn ((0 : IntInf.int), c, r)) |
|
2075 |
else NEq (Cn ((0 : IntInf.int), IntInf.~ c, Neg r)))) |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2076 |
end |
29787 | 2077 |
| zlfm (Dvd (i, a)) = |
36528 | 2078 |
(if ((i : IntInf.int) = (0 : IntInf.int)) then zlfm (Eq a) |
29787 | 2079 |
else let |
36528 | 2080 |
val (c, r) = zsplit0 a; |
29787 | 2081 |
in |
36528 | 2082 |
(if ((c : IntInf.int) = (0 : IntInf.int)) then Dvd (abs_int i, r) |
29787 | 2083 |
else (if IntInf.< ((0 : IntInf.int), c) |
36528 | 2084 |
then Dvd (abs_int i, Cn ((0 : IntInf.int), c, r)) |
2085 |
else Dvd (abs_int i, |
|
2086 |
Cn ((0 : IntInf.int), IntInf.~ c, Neg r)))) |
|
29787 | 2087 |
end) |
2088 |
| zlfm (NDvd (i, a)) = |
|
36528 | 2089 |
(if ((i : IntInf.int) = (0 : IntInf.int)) then zlfm (NEq a) |
29787 | 2090 |
else let |
36528 | 2091 |
val (c, r) = zsplit0 a; |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2092 |
in |
36528 | 2093 |
(if ((c : IntInf.int) = (0 : IntInf.int)) then NDvd (abs_int i, r) |
29787 | 2094 |
else (if IntInf.< ((0 : IntInf.int), c) |
36528 | 2095 |
then NDvd (abs_int i, Cn ((0 : IntInf.int), c, r)) |
2096 |
else NDvd (abs_int i, |
|
2097 |
Cn ((0 : IntInf.int), IntInf.~ c, Neg r)))) |
|
29787 | 2098 |
end) |
2099 |
| zlfm (Not (And (p, q))) = Or (zlfm (Not p), zlfm (Not q)) |
|
2100 |
| zlfm (Not (Or (p, q))) = And (zlfm (Not p), zlfm (Not q)) |
|
2101 |
| zlfm (Not (Imp (p, q))) = And (zlfm p, zlfm (Not q)) |
|
2102 |
| zlfm (Not (Iff (p, q))) = |
|
2103 |
Or (And (zlfm p, zlfm (Not q)), And (zlfm (Not p), zlfm q)) |
|
2104 |
| zlfm (Not (Not p)) = zlfm p |
|
2105 |
| zlfm (Not T) = F |
|
2106 |
| zlfm (Not F) = T |
|
2107 |
| zlfm (Not (Lt a)) = zlfm (Ge a) |
|
2108 |
| zlfm (Not (Le a)) = zlfm (Gt a) |
|
2109 |
| zlfm (Not (Gt a)) = zlfm (Le a) |
|
2110 |
| zlfm (Not (Ge a)) = zlfm (Lt a) |
|
2111 |
| zlfm (Not (Eq a)) = zlfm (NEq a) |
|
2112 |
| zlfm (Not (NEq a)) = zlfm (Eq a) |
|
2113 |
| zlfm (Not (Dvd (i, a))) = zlfm (NDvd (i, a)) |
|
2114 |
| zlfm (Not (NDvd (i, a))) = zlfm (Dvd (i, a)) |
|
2115 |
| zlfm (Not (Closed p)) = NClosed p |
|
2116 |
| zlfm (Not (NClosed p)) = Closed p |
|
2117 |
| zlfm T = T |
|
2118 |
| zlfm F = F |
|
2119 |
| zlfm (Not (E ci)) = Not (E ci) |
|
2120 |
| zlfm (Not (A cj)) = Not (A cj) |
|
2121 |
| zlfm (E ao) = E ao |
|
2122 |
| zlfm (A ap) = A ap |
|
2123 |
| zlfm (Closed aq) = Closed aq |
|
2124 |
| zlfm (NClosed ar) = NClosed ar; |
|
23466 | 2125 |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2126 |
fun unita p = |
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2127 |
let |
36528 | 2128 |
val pa = zlfm p; |
2129 |
val l = zeta pa; |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2130 |
val q = |
36528 | 2131 |
And (Dvd (l, Cn ((0 : IntInf.int), (1 : IntInf.int), C (0 : IntInf.int))), |
2132 |
a_beta pa l); |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2133 |
val d = delta q; |
23714 | 2134 |
val b = remdups eq_numa (map simpnum (beta q)); |
2135 |
val a = remdups eq_numa (map simpnum (alpha q)); |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2136 |
in |
29787 | 2137 |
(if IntInf.<= (size_list b, size_list a) then (q, (b, d)) |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2138 |
else (mirror q, (a, d))) |
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2139 |
end; |
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2140 |
|
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2141 |
fun cooper p = |
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2142 |
let |
36528 | 2143 |
val (q, (b, d)) = unita p; |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2144 |
val js = iupt (1 : IntInf.int) d; |
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2145 |
val mq = simpfm (minusinf q); |
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2146 |
val md = evaldjf (fn j => simpfm (subst0 (C j) mq)) js; |
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2147 |
in |
36528 | 2148 |
(if eq_fm md T then T |
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2149 |
else let |
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2150 |
val qd = |
36528 | 2151 |
evaldjf (fn (ba, j) => simpfm (subst0 (Add (ba, C j)) q)) |
2152 |
(concat_map (fn ba => map (fn a => (ba, a)) js) b); |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2153 |
in |
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2154 |
decr (disj md qd) |
23466 | 2155 |
end) |
2156 |
end; |
|
2157 |
||
29787 | 2158 |
fun prep (E T) = T |
2159 |
| prep (E F) = F |
|
2160 |
| prep (E (Or (p, q))) = Or (prep (E p), prep (E q)) |
|
2161 |
| prep (E (Imp (p, q))) = Or (prep (E (Not p)), prep (E q)) |
|
2162 |
| prep (E (Iff (p, q))) = |
|
2163 |
Or (prep (E (And (p, q))), prep (E (And (Not p, Not q)))) |
|
2164 |
| prep (E (Not (And (p, q)))) = Or (prep (E (Not p)), prep (E (Not q))) |
|
2165 |
| prep (E (Not (Imp (p, q)))) = prep (E (And (p, Not q))) |
|
2166 |
| prep (E (Not (Iff (p, q)))) = |
|
2167 |
Or (prep (E (And (p, Not q))), prep (E (And (Not p, q)))) |
|
2168 |
| prep (E (Lt ef)) = E (prep (Lt ef)) |
|
2169 |
| prep (E (Le eg)) = E (prep (Le eg)) |
|
2170 |
| prep (E (Gt eh)) = E (prep (Gt eh)) |
|
2171 |
| prep (E (Ge ei)) = E (prep (Ge ei)) |
|
2172 |
| prep (E (Eq ej)) = E (prep (Eq ej)) |
|
2173 |
| prep (E (NEq ek)) = E (prep (NEq ek)) |
|
2174 |
| prep (E (Dvd (el, em))) = E (prep (Dvd (el, em))) |
|
2175 |
| prep (E (NDvd (en, eo))) = E (prep (NDvd (en, eo))) |
|
2176 |
| prep (E (Not T)) = E (prep (Not T)) |
|
2177 |
| prep (E (Not F)) = E (prep (Not F)) |
|
2178 |
| prep (E (Not (Lt gw))) = E (prep (Not (Lt gw))) |
|
2179 |
| prep (E (Not (Le gx))) = E (prep (Not (Le gx))) |
|
2180 |
| prep (E (Not (Gt gy))) = E (prep (Not (Gt gy))) |
|
2181 |
| prep (E (Not (Ge gz))) = E (prep (Not (Ge gz))) |
|
2182 |
| prep (E (Not (Eq ha))) = E (prep (Not (Eq ha))) |
|
2183 |
| prep (E (Not (NEq hb))) = E (prep (Not (NEq hb))) |
|
2184 |
| prep (E (Not (Dvd (hc, hd)))) = E (prep (Not (Dvd (hc, hd)))) |
|
2185 |
| prep (E (Not (NDvd (he, hf)))) = E (prep (Not (NDvd (he, hf)))) |
|
2186 |
| prep (E (Not (Not hg))) = E (prep (Not (Not hg))) |
|
2187 |
| prep (E (Not (Or (hj, hk)))) = E (prep (Not (Or (hj, hk)))) |
|
2188 |
| prep (E (Not (E hp))) = E (prep (Not (E hp))) |
|
2189 |
| prep (E (Not (A hq))) = E (prep (Not (A hq))) |
|
2190 |
| prep (E (Not (Closed hr))) = E (prep (Not (Closed hr))) |
|
2191 |
| prep (E (Not (NClosed hs))) = E (prep (Not (NClosed hs))) |
|
2192 |
| prep (E (And (eq, er))) = E (prep (And (eq, er))) |
|
2193 |
| prep (E (E ey)) = E (prep (E ey)) |
|
23689
0410269099dc
replaced code generator framework for reflected cooper
haftmann
parents:
23466
diff
changeset
|
2194 |
| prep (E (A ez)) = E (prep (A ez)) |
29787 | 2195 |
| prep (E (Closed fa)) = E (prep (Closed fa)) |
2196 |
| prep (E (NClosed fb)) = E (prep (NClosed fb)) |
|
2197 |
| prep (A (And (p, q))) = And (prep (A p), prep (A q)) |
|
2198 |
| prep (A T) = prep (Not (E (Not T))) |
|
2199 |
| prep (A F) = prep (Not (E (Not F))) |
|
2200 |
| prep (A (Lt jn)) = prep (Not (E (Not (Lt jn)))) |
|
2201 |
| prep (A (Le jo)) = prep (Not (E (Not (Le jo)))) |
|
2202 |
| prep (A (Gt jp)) = prep (Not (E (Not (Gt jp)))) |
|
2203 |
| prep (A (Ge jq)) = prep (Not (E (Not (Ge jq)))) |
|
2204 |
| prep (A (Eq jr)) = prep (Not (E (Not (Eq jr)))) |
|
2205 |
| prep (A (NEq js)) = prep (Not (E (Not (NEq js)))) |
|
2206 |
| prep (A (Dvd (jt, ju))) = prep (Not (E (Not (Dvd (jt, ju))))) |
|
2207 |
| prep (A (NDvd (jv, jw))) = prep (Not (E (Not (NDvd (jv, jw))))) |
|
2208 |
| prep (A (Not jx)) = prep (Not (E (Not (Not jx)))) |
|
2209 |
| prep (A (Or (ka, kb))) = prep (Not (E (Not (Or (ka, kb))))) |
|
2210 |
| prep (A (Imp (kc, kd))) = prep (Not (E (Not (Imp (kc, kd))))) |
|
2211 |
| prep (A (Iff (ke, kf))) = prep (Not (E (Not (Iff (ke, kf))))) |
|
2212 |
| prep (A (E kg)) = prep (Not (E (Not (E kg)))) |
|
2213 |
| prep (A (A kh)) = prep (Not (E (Not (A kh)))) |
|
2214 |
| prep (A (Closed ki)) = prep (Not (E (Not (Closed ki)))) |
|
2215 |
| prep (A (NClosed kj)) = prep (Not (E (Not (NClosed kj)))) |
|
2216 |
| prep (Not (Not p)) = prep p |
|
2217 |
| prep (Not (And (p, q))) = Or (prep (Not p), prep (Not q)) |
|
2218 |
| prep (Not (A p)) = prep (E (Not p)) |
|
2219 |
| prep (Not (Or (p, q))) = And (prep (Not p), prep (Not q)) |
|
2220 |
| prep (Not (Imp (p, q))) = And (prep p, prep (Not q)) |
|
2221 |
| prep (Not (Iff (p, q))) = Or (prep (And (p, Not q)), prep (And (Not p, q))) |
|
2222 |
| prep (Not T) = Not (prep T) |
|
2223 |
| prep (Not F) = Not (prep F) |
|
2224 |
| prep (Not (Lt bo)) = Not (prep (Lt bo)) |
|
2225 |
| prep (Not (Le bp)) = Not (prep (Le bp)) |
|
2226 |
| prep (Not (Gt bq)) = Not (prep (Gt bq)) |
|
2227 |
| prep (Not (Ge br)) = Not (prep (Ge br)) |
|
2228 |
| prep (Not (Eq bs)) = Not (prep (Eq bs)) |
|
2229 |
| prep (Not (NEq bt)) = Not (prep (NEq bt)) |
|
2230 |
| prep (Not (Dvd (bu, bv))) = Not (prep (Dvd (bu, bv))) |
|
2231 |
| prep (Not (NDvd (bw, bx))) = Not (prep (NDvd (bw, bx))) |
|
2232 |
| prep (Not (E ch)) = Not (prep (E ch)) |
|
2233 |
| prep (Not (Closed cj)) = Not (prep (Closed cj)) |
|
2234 |
| prep (Not (NClosed ck)) = Not (prep (NClosed ck)) |
|
2235 |
| prep (Or (p, q)) = Or (prep p, prep q) |
|
2236 |
| prep (And (p, q)) = And (prep p, prep q) |
|
2237 |
| prep (Imp (p, q)) = prep (Or (Not p, q)) |
|
2238 |
| prep (Iff (p, q)) = Or (prep (And (p, q)), prep (And (Not p, Not q))) |
|
2239 |
| prep T = T |
|
2240 |
| prep F = F |
|
2241 |
| prep (Lt u) = Lt u |
|
2242 |
| prep (Le v) = Le v |
|
2243 |
| prep (Gt w) = Gt w |
|
2244 |
| prep (Ge x) = Ge x |
|
2245 |
| prep (Eq y) = Eq y |
|
2246 |
| prep (NEq z) = NEq z |
|
2247 |
| prep (Dvd (aa, ab)) = Dvd (aa, ab) |
|
2248 |
| prep (NDvd (ac, ad)) = NDvd (ac, ad) |
|
2249 |
| prep (Closed ap) = Closed ap |
|
2250 |
| prep (NClosed aq) = NClosed aq; |
|
23466 | 2251 |
|
29787 | 2252 |
fun qelim (E p) = (fn qe => dj qe (qelim p qe)) |
2253 |
| qelim (A p) = (fn qe => nota (qe (qelim (Not p) qe))) |
|
2254 |
| qelim (Not p) = (fn qe => nota (qelim p qe)) |
|
2255 |
| qelim (And (p, q)) = (fn qe => conj (qelim p qe) (qelim q qe)) |
|
2256 |
| qelim (Or (p, q)) = (fn qe => disj (qelim p qe) (qelim q qe)) |
|
2257 |
| qelim (Imp (p, q)) = (fn qe => impa (qelim p qe) (qelim q qe)) |
|
2258 |
| qelim (Iff (p, q)) = (fn qe => iffa (qelim p qe) (qelim q qe)) |
|
36528 | 2259 |
| qelim T = (fn _ => simpfm T) |
2260 |
| qelim F = (fn _ => simpfm F) |
|
2261 |
| qelim (Lt u) = (fn _ => simpfm (Lt u)) |
|
2262 |
| qelim (Le v) = (fn _ => simpfm (Le v)) |
|
2263 |
| qelim (Gt w) = (fn _ => simpfm (Gt w)) |
|
2264 |
| qelim (Ge x) = (fn _ => simpfm (Ge x)) |
|
2265 |
| qelim (Eq y) = (fn _ => simpfm (Eq y)) |
|
2266 |
| qelim (NEq z) = (fn _ => simpfm (NEq z)) |
|
2267 |
| qelim (Dvd (aa, ab)) = (fn _ => simpfm (Dvd (aa, ab))) |
|
2268 |
| qelim (NDvd (ac, ad)) = (fn _ => simpfm (NDvd (ac, ad))) |
|
2269 |
| qelim (Closed ap) = (fn _ => simpfm (Closed ap)) |
|
2270 |
| qelim (NClosed aq) = (fn _ => simpfm (NClosed aq)); |
|
23466 | 2271 |
|
29787 | 2272 |
fun pa p = qelim (prep p) cooper; |
2273 |
||
36528 | 2274 |
end; (*struct Generated_Cooper*) |