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Exec-load

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

Signature

(exec-load funct rd rs1 imm stat feat) → new-stat

Arguments

funct — Guard (load-funct-p funct).

rd — Guard (ubyte5p rd).

rs1 — Guard (ubyte5p rs1).

imm — Guard (ubyte12p imm).

stat — Guard (statp stat).

feat — Guard (featp feat).

Returns

new-stat — Type (statp new-stat).

Definitions and Theorems

Function: exec-load

(defun exec-load (funct rd rs1 imm stat feat)
  (declare (xargs :guard (and (load-funct-p funct)
                              (ubyte5p rd)
                              (ubyte5p rs1)
                              (ubyte12p imm)
                              (statp stat)
                              (featp feat))))
  (declare
       (xargs :guard (and (stat-validp stat feat)
                          (implies (or (load-funct-case funct :lwu)
                                       (load-funct-case funct :ld))
                                   (feat-64p feat)))))
  (let ((__function__ 'exec-load))
    (declare (ignorable __function__))
    (load-funct-case funct
                     :lb (exec-lb rd rs1 imm stat feat)
                     :lbu (exec-lbu rd rs1 imm stat feat)
                     :lh (exec-lh rd rs1 imm stat feat)
                     :lhu (exec-lhu rd rs1 imm stat feat)
                     :lw (exec-lw rd rs1 imm stat feat)
                     :lwu (exec-lwu rd rs1 imm stat feat)
                     :ld (exec-ld rd rs1 imm stat feat))))

Theorem: statp-of-exec-load

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

Theorem: exec-load-of-load-funct-fix-funct

(defthm exec-load-of-load-funct-fix-funct
  (equal (exec-load (load-funct-fix funct)
                    rd rs1 imm stat feat)
         (exec-load funct rd rs1 imm stat feat)))

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

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

Theorem: exec-load-of-ubyte5-fix-rd

(defthm exec-load-of-ubyte5-fix-rd
  (equal (exec-load funct (ubyte5-fix rd)
                    rs1 imm stat feat)
         (exec-load funct rd rs1 imm stat feat)))

Theorem: exec-load-ubyte5-equiv-congruence-on-rd

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

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

(defthm exec-load-of-ubyte5-fix-rs1
  (equal (exec-load funct rd (ubyte5-fix rs1)
                    imm stat feat)
         (exec-load funct rd rs1 imm stat feat)))

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

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

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

(defthm exec-load-of-ubyte12-fix-imm
  (equal (exec-load funct rd rs1 (ubyte12-fix imm)
                    stat feat)
         (exec-load funct rd rs1 imm stat feat)))

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

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

Theorem: exec-load-of-stat-fix-stat

(defthm exec-load-of-stat-fix-stat
  (equal (exec-load funct rd rs1 imm (stat-fix stat)
                    feat)
         (exec-load funct rd rs1 imm stat feat)))

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

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

Theorem: exec-load-of-feat-fix-feat

(defthm exec-load-of-feat-fix-feat
  (equal (exec-load funct rd rs1 imm stat (feat-fix feat))
         (exec-load funct rd rs1 imm stat feat)))

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

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