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Exec-store

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

Signature

(exec-store funct rs1 rs2 imm stat feat) → new-stat

Arguments

funct — Guard (store-funct-p funct).

rs1 — Guard (ubyte5p rs1).

rs2 — Guard (ubyte5p rs2).

imm — Guard (ubyte12p imm).

stat — Guard (statp stat).

feat — Guard (featp feat).

Returns

new-stat — Type (statp new-stat).

Definitions and Theorems

Function: exec-store

(defun exec-store (funct rs1 rs2 imm stat feat)
  (declare (xargs :guard (and (store-funct-p funct)
                              (ubyte5p rs1)
                              (ubyte5p rs2)
                              (ubyte12p imm)
                              (statp stat)
                              (featp feat))))
  (declare (xargs :guard (and (stat-validp stat feat)
                              (implies (store-funct-case funct :sd)
                                       (feat-64p feat)))))
  (let ((__function__ 'exec-store))
    (declare (ignorable __function__))
    (store-funct-case funct
                      :sb (exec-sb rs1 rs2 imm stat feat)
                      :sh (exec-sh rs1 rs2 imm stat feat)
                      :sw (exec-sw rs1 rs2 imm stat feat)
                      :sd (exec-sd rs1 rs2 imm stat feat))))

Theorem: statp-of-exec-store

(defthm statp-of-exec-store
  (b* ((new-stat (exec-store funct rs1 rs2 imm stat feat)))
    (statp new-stat))
  :rule-classes :rewrite)

Theorem: exec-store-of-store-funct-fix-funct

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Theorem: exec-store-of-stat-fix-stat

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

Theorem: exec-store-stat-equiv-congruence-on-stat

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

Theorem: exec-store-of-feat-fix-feat

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

Theorem: exec-store-feat-equiv-congruence-on-feat

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