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Semantics64

Exec64-store

Semantics of the instructions with the STORE opcode [ISA:2.6] [ISA:4.3].

Signature
(exec64-store funct rs1 rs2 imm stat) → new-stat
Arguments: funct — Guard (store-funct-p funct).; rs1 — Guard (ubyte5p rs1).; rs2 — Guard (ubyte5p rs2).; imm — Guard (ubyte12p imm).; stat — Guard (state64p stat).
Returns: new-stat — Type (state64p new-stat).

Definitions and Theorems

Function: exec64-store

(defun exec64-store (funct rs1 rs2 imm stat)
  (declare (xargs :guard (and (store-funct-p funct)
                              (ubyte5p rs1)
                              (ubyte5p rs2)
                              (ubyte12p imm)
                              (state64p stat))))
  (let ((__function__ 'exec64-store))
    (declare (ignorable __function__))
    (store-funct-case funct
                      :sb (exec64-sb rs1 rs2 imm stat)
                      :sh (exec64-sh rs1 rs2 imm stat)
                      :sw (exec64-sw rs1 rs2 imm stat)
                      :sd (exec64-sd rs1 rs2 imm stat))))

Theorem: state64p-of-exec64-store

(defthm state64p-of-exec64-store
  (b* ((new-stat (exec64-store funct rs1 rs2 imm stat)))
    (state64p new-stat))
  :rule-classes :rewrite)

Theorem: exec64-store-of-store-funct-fix-funct

(defthm exec64-store-of-store-funct-fix-funct
  (equal (exec64-store (store-funct-fix funct)
                       rs1 rs2 imm stat)
         (exec64-store funct rs1 rs2 imm stat)))

Theorem: exec64-store-store-funct-equiv-congruence-on-funct

(defthm exec64-store-store-funct-equiv-congruence-on-funct
  (implies (store-funct-equiv funct funct-equiv)
           (equal (exec64-store funct rs1 rs2 imm stat)
                  (exec64-store funct-equiv rs1 rs2 imm stat)))
  :rule-classes :congruence)

Theorem: exec64-store-of-ubyte5-fix-rs1

(defthm exec64-store-of-ubyte5-fix-rs1
  (equal (exec64-store funct (ubyte5-fix rs1)
                       rs2 imm stat)
         (exec64-store funct rs1 rs2 imm stat)))

Theorem: exec64-store-ubyte5-equiv-congruence-on-rs1

(defthm exec64-store-ubyte5-equiv-congruence-on-rs1
  (implies (ubyte5-equiv rs1 rs1-equiv)
           (equal (exec64-store funct rs1 rs2 imm stat)
                  (exec64-store funct rs1-equiv rs2 imm stat)))
  :rule-classes :congruence)

Theorem: exec64-store-of-ubyte5-fix-rs2

(defthm exec64-store-of-ubyte5-fix-rs2
  (equal (exec64-store funct rs1 (ubyte5-fix rs2)
                       imm stat)
         (exec64-store funct rs1 rs2 imm stat)))

Theorem: exec64-store-ubyte5-equiv-congruence-on-rs2

(defthm exec64-store-ubyte5-equiv-congruence-on-rs2
  (implies (ubyte5-equiv rs2 rs2-equiv)
           (equal (exec64-store funct rs1 rs2 imm stat)
                  (exec64-store funct rs1 rs2-equiv imm stat)))
  :rule-classes :congruence)

Theorem: exec64-store-of-ubyte12-fix-imm

(defthm exec64-store-of-ubyte12-fix-imm
  (equal (exec64-store funct rs1 rs2 (ubyte12-fix imm)
                       stat)
         (exec64-store funct rs1 rs2 imm stat)))

Theorem: exec64-store-ubyte12-equiv-congruence-on-imm

(defthm exec64-store-ubyte12-equiv-congruence-on-imm
  (implies (acl2::ubyte12-equiv imm imm-equiv)
           (equal (exec64-store funct rs1 rs2 imm stat)
                  (exec64-store funct rs1 rs2 imm-equiv stat)))
  :rule-classes :congruence)

Theorem: exec64-store-of-state64-fix-stat

(defthm exec64-store-of-state64-fix-stat
  (equal (exec64-store funct rs1 rs2 imm (state64-fix stat))
         (exec64-store funct rs1 rs2 imm stat)))

Theorem: exec64-store-state64-equiv-congruence-on-stat

(defthm exec64-store-state64-equiv-congruence-on-stat
  (implies (state64-equiv stat stat-equiv)
           (equal (exec64-store funct rs1 rs2 imm stat)
                  (exec64-store funct rs1 rs2 imm stat-equiv)))
  :rule-classes :congruence)