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# Homework 12.2

Homework 12.2

## Resources

### Definitions File

```theory Defs
imports "HOL-IMP.Compiler"
begin

end```

### Template File

```theory Submission
imports Defs
begin

definition cnv_to_abs :: "instr list \<Rightarrow> instr list" where
"cnv_to_abs P = undefined"

abbreviation
exec_abs :: "instr list \<Rightarrow> config \<Rightarrow> config \<Rightarrow> bool" ("(_/ \<turnstile>\<^sub>a (_ \<rightarrow>*/ _))" 50)
where
"exec_abs P _ _ \<equiv> False"

theorem cnv_to_abs_correct: "cnv_to_abs P \<turnstile>\<^sub>a c \<rightarrow>* c' \<longleftrightarrow> P \<turnstile> c \<rightarrow>* c'"
sorry

definition cnv_to_rel :: "instr list \<Rightarrow> instr list" where
"cnv_to_rel P = undefined"

theorem cnv_to_rel_correct:
"P \<turnstile>\<^sub>a c \<rightarrow>* c' \<longleftrightarrow> cnv_to_rel P \<turnstile> c \<rightarrow>* c'"
sorry

end```

### Check File

```theory Check
imports Submission
begin

theorem cnv_to_abs_correct: "cnv_to_abs P \<turnstile>\<^sub>a c \<rightarrow>* c' \<longleftrightarrow> P \<turnstile> c \<rightarrow>* c'"
by (rule Submission.cnv_to_abs_correct)

theorem cnv_to_rel_correct: "P \<turnstile>\<^sub>a c \<rightarrow>* c' \<longleftrightarrow> cnv_to_rel P \<turnstile> c \<rightarrow>* c'"
by (rule Submission.cnv_to_rel_correct)

end```

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