diff options
Diffstat (limited to 'lib/isabelle/Prompt_monad_extras.thy')
| -rw-r--r-- | lib/isabelle/Prompt_monad_extras.thy | 43 |
1 files changed, 35 insertions, 8 deletions
diff --git a/lib/isabelle/Prompt_monad_extras.thy b/lib/isabelle/Prompt_monad_extras.thy index e93c6052..9d29f5a2 100644 --- a/lib/isabelle/Prompt_monad_extras.thy +++ b/lib/isabelle/Prompt_monad_extras.thy @@ -1,5 +1,7 @@ theory Prompt_monad_extras - imports Prompt_monad + imports + Prompt_monad + Sail_values_extras begin lemma All_bind_dom: "bind_dom (m, f)" @@ -21,14 +23,18 @@ lemmas try_catch_induct[case_names Done Read_mem Write_memv Read_reg Excl_res Wr datatype 'regval event = (* Request to read memory *) - e_read_mem read_kind int int "memory_byte list" + e_read_mem read_kind "bitU list" nat "memory_byte list" + | e_read_tag "bitU list" bitU (* Write is imminent, at address lifted, of size nat *) - | e_write_ea write_kind int int + | e_write_ea write_kind "bitU list" nat (* Request the result of store-exclusive *) | e_excl_res bool (* Request to write memory at last signalled address. Memory value should be 8 times the size given in ea signal *) | e_write_memv "memory_byte list" bool + | e_write_tagv bitU bool + (* Tell the system to dynamically recalculate dependency footprint *) + | e_footprint (* Request a memory barrier *) | e_barrier " barrier_kind " (* Request to read register *) @@ -38,9 +44,12 @@ datatype 'regval event = inductive_set T :: "(('rv, 'a, 'e) monad \<times> 'rv event \<times> ('rv, 'a, 'e) monad) set" where Read_mem: "((Read_mem rk addr sz k), e_read_mem rk addr sz v, k v) \<in> T" +| Read_tag: "((Read_tag addr k), e_read_tag addr v, k v) \<in> T" | Write_ea: "((Write_ea wk addr sz k), e_write_ea wk addr sz, k) \<in> T" | Excl_res: "((Excl_res k), e_excl_res r, k r) \<in> T" | Write_memv: "((Write_memv v k), e_write_memv v r, k r) \<in> T" +| Write_tagv: "((Write_tagv v k), e_write_tagv v r, k r) \<in> T" +| Footprint: "((Footprint k), e_footprint, k) \<in> T" | Barrier: "((Barrier bk k), e_barrier bk, k) \<in> T" | Read_reg: "((Read_reg r k), e_read_reg r v, k v) \<in> T" | Write_reg: "((Write_reg r v k), e_write_reg r v, k) \<in> T" @@ -59,6 +68,29 @@ lemmas Traces_ConsI = T.intros[THEN Step, rotated] inductive_cases Traces_NilE[elim]: "(s, [], s') \<in> Traces" inductive_cases Traces_ConsE[elim]: "(s, e # t, s') \<in> Traces" +lemma Traces_cases: + fixes m :: "('rv, 'a, 'e) monad" + assumes Run: "(m, t, m') \<in> Traces" + obtains (Nil) a where "m = m'" and "t = []" + | (Read_mem) rk addr s k t' v where "m = Read_mem rk addr s k" and "t = e_read_mem rk addr s v # t'" and "(k v, t', m') \<in> Traces" + | (Read_tag) addr k t' v where "m = Read_tag addr k" and "t = e_read_tag addr v # t'" and "(k v, t', m') \<in> Traces" + | (Write_memv) val k t' v where "m = Write_memv val k" and "t = e_write_memv val v # t'" and "(k v, t', m') \<in> Traces" + | (Write_tagv) val k t' v where "m = Write_tagv val k" and "t = e_write_tagv val v # t'" and "(k v, t', m') \<in> Traces" + | (Barrier) bk k t' v where "m = Barrier bk k" and "t = e_barrier bk # t'" and "(k, t', m') \<in> Traces" + | (Read_reg) reg k t' v where "m = Read_reg reg k" and "t = e_read_reg reg v # t'" and "(k v, t', m') \<in> Traces" + | (Excl_res) k t' v where "m = Excl_res k" and "t = e_excl_res v # t'" and "(k v, t', m') \<in> Traces" + | (Write_ea) wk addr s k t' where "m = Write_ea wk addr s k" and "t = e_write_ea wk addr s # t'" and "(k, t', m') \<in> Traces" + | (Footprint) k t' where "m = Footprint k" and "t = e_footprint # t'" and "(k, t', m') \<in> Traces" + | (Write_reg) reg v k t' where "m = Write_reg reg v k" and "t = e_write_reg reg v # t'" and "(k, t', m') \<in> Traces" +proof (use Run in \<open>cases m t m' set: Traces\<close>) + case Nil + then show ?thesis by (auto intro: that(1)) +next + case (Step e m'' t') + from \<open>(m, e, m'') \<in> T\<close> and \<open>t = e # t'\<close> and \<open>(m'', t', m') \<in> Traces\<close> + show ?thesis by (cases m e m'' rule: T.cases; elim that; blast) +qed + abbreviation Run :: "('rv, 'a, 'e) monad \<Rightarrow> 'rv event list \<Rightarrow> 'a \<Rightarrow> bool" where "Run s t a \<equiv> (s, t, Done a) \<in> Traces" @@ -114,11 +146,6 @@ lemma Run_DoneE: lemma Run_Done_iff_Nil[simp]: "Run (Done a) t a' \<longleftrightarrow> t = [] \<and> a' = a" by (auto elim: Run_DoneE) -lemma Run_BarrierE[elim!]: - assumes "Run (Barrier bk k) t a" - obtains t' where "t = e_barrier bk # t'" and "Run k t' a" - using assms by cases (auto elim: T.cases) - lemma bind_cong[fundef_cong]: assumes m: "m1 = m2" and f: "\<And>t a. Run m2 t a \<Longrightarrow> f1 a = f2 a" |
